Energy in A Sentence

    1

    The boy was no longer sleepy, but full of energy and excitement.

    2

    Now put that energy into walking.

    3

    Vastly more energy than we need pours down on this planet in the form of sunlight.

    4

    He already felt the loss of her calm energy, but he had no idea what to do about it.

    5

    His energy rippled through her, making her gasp at the intensity of the touch that lit her blood on fire.

    6

    Before long, she was drenched and chilled, her skin crawling from the bridled charged energy of the storm.

    7

    He didn't respond, and she thought it best to direct her energy to walking rather than talking.

    8

    She channeled her energy towards it, feeding it.

    9

    I was keenly surprised and disappointed years later to learn of their acts of persecution that make us tingle with shame, even while we glory in the courage and energy that gave us our "Country Beautiful."

    10

    Bianca focused on it and channeled her healing energy towards the dark pain.

    11

    A strange energy ran between them, as if she could absorb the faint stream of his magic.

    12

    The energy around them was lively; they were brothers whose bond was formed during their years in the bowels of hell.

    13

    Now, if you acquire an ox, a new source of energy, you can plow more.

    14

    Plus, they will be able to convert heat to electricity as well, so anything that heats up will become an energy source.

    15

    If not for Yully's fading energy, Jule would've stayed to make sure Damian's version of chat resembled his and not Dusty's, who was more likely to shoot first and discuss later.

    16

    But what if that energy cost fell to zero?

    17

    If she could see and hear, I suppose she would get rid of her superfluous energy in ways which would not, perhaps, tax her brain so much, although I suspect that the ordinary child takes his play pretty seriously.

    18

    Our internal electrical system works by using cells that have built up electrical gradient or energy that can be given off to other cells by direct transfer.

    19

    There was something very different about this woman, and it was more than the feel of her energy flowing through him.

    20

    She responded, shivering at the energy that fluttered through her when their lips touched.

    21

    Or perchance, at evening, I hear him in his stable blowing off the superfluous energy of the day, that he may calm his nerves and cool his liver and brain for a few hours of iron slumber.

    22

    And the feeling of energy with which the troops had started began to turn into vexation and anger at the stupid arrangements and at the Germans.

    23

    The day was getting hot and it took too much energy to argue.

    24

    What we're doing together blows my imagination so I'll devote as much time and energy as I can possible muster to optimizing our results.

    25

    His gaze flared at his words, and the energy between them pulsed.

    26

    It's the same thing you do to change an object into another, only normal objects have far less energy to control.

    27

    If you are a farmer and work alone, you can only plant as much land as you can personally plow. You can do just a couple of thousand calories of work a day, consuming only the energy produced by the food you ate.

    28

    But is energy really scarce—or is it like air?

    29

    Houses will be built by robots using materials not yet invented that are cheaper and more energy efficient.

    30

    Believe me in war the energy of young men often shows the way better than all the experience of old Cunctators.

    31

    His absence sucked the energy from the room and she stared down at the dishwater.

    32

    Touching him sent warm energy racing through her blood.

    33

    His numerous writings, from 1823 onwards, were the reservoirs in which the entire energy of a life was stored.

    34

    The animal and the plant alike require food to repair waste, to build up new tissue and to provide material which, by chemical change, may liberate the energy which appears in the processes of life.

    35

    A problem arises because of the strong correlation between standard of living and energy consumption.

    36

    First, think of energy as the capacity to do work.

    37

    The point is that the cost of making almost everything is mostly energy and intellect, not raw materials.

    38

    An energy crop could be a permanent forest of trees that convert sunlight to liquid fuel and deliver the fuel directly through their roots to a network of underground pipelines.

    39

    That was indeed the hope for atomic energy in that era, and it did not pan out.

    40

    And in that future, I believe the world can have—in fact, will have—plentiful, free, clean energy that will result in dramatically lower costs for everything, everywhere.

    41

    One would argue that energy costs will remain high.

    42

    I think no matter what, energy costs will fall dramatically in the future, probably to near zero, because the economic incentives to unlock that technical puzzle are so overwhelming.

    43

    If they would only expend the same amount of energy loving their fellow men, the devil would die in his own tracks of ennui.

    44

    Instead of responding, she concentrated on pulling his energy into her body then pushed it back.

    45

    The ache within her deepened at the idea of trusting someone for the first time in her life, and the energy flowing between them grew more intense.

    46

    Yully pulled what she could of his energy into her body.

    47

    No point in wasting energy screaming now.

    48

    Of the total quantity of energy incident on the earth about 40% is reflected back from the earth's atmosphere.

    49

    Marutha, who was Nestorian catholicus of Seleucia from about 540 to 552 1 and a man of exceptional energy, made the only known attempt, which was, however, unsuccessful, to provide the Nestorians with a Bible version of their own.

    50

    But this superficiality was accompanied by such wonderful acuteness within a certain range, by such an absolutely unsurpassed literary aptitude and sense of style in all the lighter and some of the graver modes of literature, by such untiring energy and versatility in enterprise, that he has no parallel among ready writers anywhere.

    51

    It is fair to assume that Grant would have followed other unsuccessful generals into retirement, had he not shown that, whatever his mistakes or failures, and whether he was or was not sober and temperate in his habits, he possessed the iron determination and energy which in the eyes of Lincoln and Stanton,' and of the whole Northern people, was the first requisite of their generals.

    52

    Comte threw himself into the suit with an energy worthy of Voltaire and won it.

    53

    Otto had untiring perseverance and relentless energy.

    54

    Although the age did not afford free scope and stimulus to individual energy and enterprise, it furnished more material and social advantages for the peaceful cultivation of letters.

    55

    To deal in generalities, plants capture, on average, about 5 percent of the solar energy that falls on their leaves.

    56

    During this difficult journey Mademoiselle Bourienne, Dessalles, and Princess Mary's servants were astonished at her energy and firmness of spirit.

    57

    What would have happened if on approaching Tarutino, Napoleon had attacked the Russians with but a tenth of the energy he had shown when he attacked them at Smolensk?

    58

    Built on the energy industry, the city is fast and lively.

    59

    Itching to relieve some of her own nervous energy after the run-in with the vamps, she'd reached the door when Jonny spoke again.

    60

    Carmen arrived on stage with an energy that kept her ponytail bobbing.

    61

    She suspected he was dangerous, but right now, she felt the danger radiating off him in a similar charged energy to Jonny's, except that Xander's had the same effect as adrenaline on her.

    62

    He was still bristling with stormy energy.

    63

    The pinch came, followed by the strange sensations of energy flying within her.

    64

    Woman, in her wasted life, in her hurried death, here stands appealing to the society that degrades her, with a combination of eloquence and poetry, of forms of art at once instantaneous and permanent, and with great metrical energy and variety.

    65

    With indefatigable energy he at once attempted to grapple with the difficulties of the situation, waging an almost desperate struggle with sloth, corruption and incompetence.

    66

    During this time he went from one city to the other, according as the danger was more pressing, and constantly displayed an admirable zeal and an imperturbable energy.

    67

    At first he threw himself with great energy into the task of building up an adequate system of schools.

    68

    It is not, therefore, strange that Cromwell's first essays in war were characterised more by energy than technical skill.

    69

    The word potential does not imply that this energy is not real; it exists in potentiality only in the sense that it is stored away in some latent manner; but it can be drawn upon without limit for mechanical work.

    70

    Factories sprang up in the South in a few months, supplying the army with arms and munitions of war, and the energy of the president was everywhere apparent.

    71

    The government met the crisis by renewed energy in harbour works, railway construc y gy y tions and the development of the natural resources of the country.

    72

    He died when his son Richard was a child, and the care of the family devolved upon the mother, who was a woman of'strong sense and of great energy of character, and who, after her husband's death, left Dunford and returned to Midhurst.

    73

    He threw himself with great energy into the agitation which led to the incorporation of the city, and was elected one of its first aldermen.

    74

    With inexhaustible energy he promoted the legal proceedings over the riot in St George's Fields, when a youth named Allen was killed, and exposed the irregularity in the judge's order for the execution of two Spitalfields weavers.

    75

    This was due partly to the excessive proselytizing energy of the Angevins, which provoked rebellion on the part of their Greek-Orthodox subjects, partly to the natural dynastic competition of the Servian and Bulgarian tsars, and partly to the emergence of a new nationality, called Walachia was regarded by the Magyars as part of the banate of Szoreny.

    76

    There are grave objections to an arbitrary rule of this kind, the chief being the useless waste of mental energy in remembering it.

    77

    With the death of Wat Tyler the rising in London and the home counties quickly subsided, though in East Anglia it flickered a short time longer under the leadership of John Wraw and Geoffrey Litster until suppressed by the energy of Henry Despenser, bishop of Norwich.

    78

    By the principle of energy the illumination over the entire focal plane must be equal to that over the diffracting area; and thus, in accordance with the suppositions by which (3) was obtained, its value when integrated from E= co to = -1-x, and from n = - oo to n = -1-oo should be equal to ab.

    79

    It has already been suggested that the principle of energy requires that the general expression for I 2 in (2) when integrated over the whole of the plane, n should be equal to A, where A is the area of the aperture.

    80

    Such a conclusion would be in the face of the principle of energy, which teaches plainly that the retardation in question leaves the aggregate brightness unaltered.

    81

    Nansen used all the arts of the agitator with extraordinary energy and success.

    82

    In this capacity Gerbert showed the same energy that had characterized his former life.

    83

    So far, however, energy and Successes v i g i lance made them successful.

    84

    Even in his old age he displayed the same restless energy, and is said to have been meditating a fresh attack on Carthage at the time of his death.

    85

    As regards the generation of electric energy, by pointing out defects of design in the dynamo as it existed about 1878, and showing.

    86

    Full of energy, Amyraut very speedily gave to French Protestantism a new force.

    87

    Function of receive antenna is extraction energy from electromagnetic field.

    88

    The company set to work with energy and the result was seen in largely increased exports.

    89

    Considerable energy was shown in railway construction and by the end of 1918 there were combined railway and steamer routes from the mouth of the Congo to Dar es Salaam and Cape Town.

    90

    Equation (3) is called Bernoulli's equation, and may be interpreted as the balance-sheet of the energy which enters and leaves a given tube of flow.

    91

    Conversely, if the kinetic energy T is expressed as a quadratic function of x, x x3, y1, y2, y3, the components of momentum, the partial differential coefficient with respect to a momentum component will give the component of velocity to correspond.

    92

    These theorems, which hold for the motion of a single rigid body, are true generally for a flexible system, such as considered here for a liquid, with one or more rigid bodies swimming in it; and they express the statement that the work done by an impulse is the product of the impulse and the arithmetic mean of the initial and final velocity; so that the kinetic energy is the work done by the impulse in starting the motion from rest.

    93

    But Piero's unexpected energy upset the schemes of his enemies.

    94

    He put an end to the division which had arisen between the spiritual leaders of Palestinian Judaism by the separation of the scribes into the two schools called respectively after Hillel and Shammai, and took care to enforce his own authority as the president of the chief legal assembly of Judaism with energy and often with severity.

    95

    In 1643 he took an active part in the proceedings against Nathaniel Fiennes for the surrender of Bristol, and showed a vindictive energy in the prosecution of Archbishop Laud.

    96

    At Chancellorsville he displayed great intrepidity and energy, and on the eve of the battle of Gettysburg was appointed to succeed Hooker.

    97

    The energy and imprudence of Eutyches in asserting his opinions led to his being accused of heresy by Domnus of Antioch and Eusebius, bishop of Dorylaeum, at a synod presided over by Flavian at Constantinople in 448.

    98

    The fact that energy is being used at so high a rate as Too H.P. on so small a charge of material sufficiently indicates that the furnace is only used for experimental work, or for the fusion of metals which, like tungsten or chromium, can only be melted at temperatures attainable by electrical means.

    99

    It was found in practice (in 1889) that the expenditure of energy per pound of reduced aluminium was about 23 H.P.-hours, a number considerably in excess of that required at the present time for the production of pure aluminium by the electrolytic process described in the article Aluminium.

    100

    Among the factors, economic, geographic, political and social, which combined to bring about the decline of the Hanseatic League, none was probably more influential than the absence of a German political power comparable in unity and energy with those of France and England, which could quell particularism at home, and abroad maintain in its vigour the trade which these towns had developed and defended with their imperfect union.

    101

    He displayed great energy in facing the difficulties of a turbulent situation, but was unsuccessful.

    102

    Napoleon had here double the force of the allies; Kutusov, however, displayed great energy, changed front to his right and called up his reserves.

    103

    This, with Grant's driving energy infused into the best army that the Union possessed, resolved itself into a series, almost uninterrupted, of terrible battles.

    104

    The evil rose to alarming proportions during Grant's presidency, partly because of the immense extension of the civil service, partly because of the growing tendency to alliance between spoilsmen and the persons benefited by protective tariffs, and partly because the public attention was still so much absorbed in Southern affairs that little energy was left for curbing rascality in the North.

    105

    The system for which the Positive Philosophy is alleged to have been the scientific preparation contains a Polity and a Religion; a complete arrangement of life in all its aspects, giving a wider sphere to Intellect, Energy and Feeling than could be found in any of the previous organic types, - Greek, Roman or Catholic-feudal.

    106

    He happened to send his eldest son, John, to Liverpool to sell a cargo of grain there, and the energy and aptitude of the young man attracted the favourable notice of a leading corn-merchant of Liverpool, who recommended him to settle in that city.

    107

    The motivepower generated by the Camuzzoni canal is utilized by a large nail factory, flour mills, paper mills, cotton mills and works for the distribution of electric energy.

    108

    With these may be named the demon lantern-bearers, so perfect in the grotesque treatment of the diabolical heads and the accurate anatomical forms of the sturdy body and limbs; the colossal temple guardians of the great gate of Tdai-ji, by Unkei and Kwaikei (11th century), somewhat conventionalized, but still bearing evidence of direct study from nature, and inspired with intense energy of action; and the smaller but more accurately modelled temple guardians in the Saikondo, Nara, which almost compare with the fighting gladiator in their realization of menacing strength.

    109

    The convenience also with which the energy of waterfalls can be converted into electric energy has led to the introduction of chemical industries into countries and districts where, owing to the absence of coal, they were previously unknown.

    110

    The solution of the iron anode was intended to afford the necessary energy.

    111

    In this he took the portfolio of the Interior, and the main energy of the government was devoted to the struggle with clericalism.

    112

    Dr Samuel Jebb included antiquarian notices as well as literary reviews in his Bibliotheca literaria (1722-1724), previously mentioned, but the Gentleman's Magazine, founded in 1731, fully established, through the tact and energy of the publisher Edward Cave, the type of the magazine, from that time so marked a feature of English periodical literature.

    113

    Weisse in order to give his whole energy to the Briefe, die neueste Literatur betreffend (1759-1765), carried on by the help speaking countries is equipped, the Jahresberichte and Bibliographien, which give each year a full account of the literature of the subject with which they are concerned.

    114

    During his first expedition (622) he failed to secure a footing in Armenia, whence he had hoped to take the Persians in flank, but by his unwearied energy he restored the discipline and efficiency of the army.

    115

    The triumphs which Heraclius had won through his own energy and skill did not bring him lasting popularity.

    116

    Worn out by continuous fighting and weakened by dropsy, Heraclius failed to show sufficient energy against the new peril that menaced his eastern provinces towards the end of his reign.

    117

    He returned resolved to devote the rest of his days to rousing the Church to her duty in the sphere of foreign missions, but his health was now broken, and his old energy flagged.

    118

    An electrified conductor is a store of energy, and from the definition of potential it is clear that the work done in increasing the charge q of a conductor whose potential is v by a small amount dq, is vdq, and since this added charge increases in turn the potential, it is easy to prove that the work done in charging a conductor with Q units to a potential V units is z QV units of work.

    119

    Accordingly the number of electric cells into which the space round is cut up is equal to twice the energy stored up, or each cell contains half a unit of energy.

    120

    This harmonizes with the fact that the real seat of the energy 3f electrification is the dielectric or insulator surrounding the charged conductor.'

    121

    But this simple relation is only true of the net balances of heat and work in a complete cyclical process, which must be adopted for theoretical purposes if we wish to eliminate the unknown changes of intrinsic energy.

    122

    The significance of relation (I) is best appreciated by considering the graphic representation of quantities of heat and energy on a work-diagram.

    123

    Any closed path or figure, such as ABCD, represents a complete cycle or series of operations, in the course of which the substance is restored to its original state with respect to temperature, intrinsic energy and other properties.

    124

    If the substance in any state such as B were allowed to expand adiabatically (dH = o) down to the absolute zero, at which point it contains no heat and exerts no pressure, the whole of its available heat energy might theoretically be recovered in the form of external work, represented on the diagram by the whole area BAZcb under the adiabatic through the state-point B, bounded by the isometric Bb and the zero isopiestic bV.

    125

    The change of the intrinsic energy in passing from one state to another, as from B to C is represented by the addition of the heat-area H= Bczz', and the subtraction of the work-area W = BCcb.

    126

    It follows from the first law that the intrinsic energy of a substance in a given state must always be the same, or that the change of E in any transformation must depend only on the initial and final states, and not on the path or process.

    127

    Since the change of energy is independent of the path, the finite change between any two given states may be found by integration along any convenient path.

    128

    The change of energy at constant volume is simply sdo, the change at constant temperature is (odp/de - p)dv, which may be written dE/de (v const) =s, dE/dv (0 const) =odp/do - p .

    129

    Observing that F is a function of the co-ordinates expressing the state of the substance, we obtain for the variation of S with pressure at constant temperature, dS/dp (0 const) '=' 2 F/dedp =-0d 2 v/d0 2 (p const) (12) If the heat supplied to a substance which is expanding reversibly and doing external work, pdv, is equal to the external work done, the intrinsic energy, E, remains constant.

    130

    The lines of constant energy on the diagram are called Isenergics.

    131

    The energy E and the total heat F are functions of the temperature only, by equations (9) and (I I), and their variations take the form dE = sdO, d F = Sd0.

    132

    Under this condition the increase of intrinsic energy would be equal to the heat absorbed, and would be indicated by fall of temperature of the calorimeter.

    133

    Joule failed to observe any change of temperature in his apparatus, and was therefore justified in assuming that the increase of intrinsic energy of a gas in isothermal expansion was very small, and that the absorption of heat observed in a similar experiment in which the gas was allowed to do external work by expanding against the atmospheric pressure was equivalent to the external work done.

    134

    If we consider any short length of the stream bounded by two imaginary cross-sections A and B on either side of the plug, unit mass of the fluid in passing A has work, p'v', done on it by the fluid behind and carries its energy, E'+ U', with it into the space AB, where U' is the kinetic energy of flow.

    135

    In passing B it does work, p"v", on the fluid in front, and carries its energy, E"+ U", with it out of the space AB.

    136

    If there is no external loss or gain of heat through the walls of the pipe, and if the flow is steady, so that energy is not accumulating in the space AB, we must evidently have the condition E'+U'+p'v' =E'+ U"+p"v" at any two cross-sections of the stream.

    137

    The expression for the change of intrinsic energy E between any given limits poOo to po is readily found by substituting these values of the specific heats in equations (II) or (13), and integrating between the given limits.

    138

    The energy is less than that of an ideal gas by the term npc. If we imagine that the defect of volume c is due to the formation of molecular aggregates consisting of two or more single molecules, and if the kinetic energy of translation of any one of these aggregates is equal to that of one of the single molecules, it is clear that some energy must be lost in co-aggregating, but that the proportion lost will be different for different types of molecules and also for different types of co-aggregation.

    139

    If two monatomic molecules, having energy of translation only, equivalent to 3 degrees of freedom, combined to form a diatomic molecule with 5 degrees of freedom, the energy lost would.

    140

    If two diatomic molecules, having each 5 degrees of freedom, combine to form a molecule with 6 degrees of freedom, we should have n = 2, or the energy lost would be 2pc per unit mass.

    141

    The loss of energy could not be greater than this on the simple kinetic theory, unless there were some evolution of latent heat of co-aggregation, due to the work done by the mutual attractions of the co-aggregating molecules.

    142

    If mechanical work or kinetic energy is directly converted into heat by friction, reversal of the motion does not restore the energy so converted.

    143

    In all such cases there is necessarily, by Carnot's principle, a loss of efficiency or available energy, accompanied by an increase of entropy, which serves as a convenient measure or criterion of the loss.

    144

    In this case the work of expansion, pdv, is expended in the first instance in producing kinetic energy of motion of parts of the gas.

    145

    Assuming that no heat is supplied from external sources and no external work is done, the intrinsic energy remains constant by the first law.

    146

    The final state of the substance, when equilibrium has been restored, may be deduced from this condition, if the energy can be expressed in terms of the co-ordinates.

    147

    But the line of constant energy on - the diagram does not represent the path of the transformation, unless it be supposed to be effected in a series of infinitesimal steps between each of which the substance is restored to an equilibrium state.

    148

    If dW is the external work done, dH the heat absorbed from external sources, and dE the increase of intrinsic energy, we have in all cases by the first law, dH-dE=dW.

    149

    The intrinsic energy, E, is similarly represented by the area DZ'Vd under the adiabatic to the right of the isometric Dd.

    150

    The increment of this area (or the decrement of the negative area E--04) at constant temperature represents the external work obtainable from the substance in isothermal expansion, in the same way that the decrement of the intrinsic energy represents the work done in adiabatic expansion.

    151

    The function J = E-94,, has been called the " free energy " of the substance by Helmholtz, and 90 the " bound energy."

    152

    These functions do not, however, represent energy existing in the substance, like the intrinsic energy; but the increment of 90 represents heat supplied to, and the decrement of (E-04) represents work obtainable from, the substance when the temperature is kept constant.

    153

    This function is also called the " thermodynamic potential at constant volume " from the analogy with the condition of minimum potential energy as the criterion of stable equilibrium in statics.

    154

    It would seem that before this time Montanus had disappeared from the scene; but Maximilla, and probably also Prisca, were working with redoubled energy.

    155

    He strongly advocated the abolition of university tests (1853), and threw himself with great energy into all that affected the social life of the people.

    156

    It is the man of energy, of some means, of ambition, who takes the chances of success in the new country, leaving the poor, the indolent, the weak and crippled at home.

    157

    Kuprili's restless energy continued to the last, exhibiting itself on one side in wholesale executions, on the other in vast building operations.

    158

    After occupying various important posts he became grand vizier in 1697, and owing to his ability and energy the Turks were able to drive the Austrians back over the Save, and Turkish fleets were sent into the Black Sea and the Mediterranean.

    159

    It appeared that a surface blackened so as to absorb the radiant energy directed on it was repelled relatively to a polished surface.

    160

    In later memoirs Reynolds followed up this subject by proceeding to establish definitions of the velocity and the momentum and the energy at an element of volume of the molecular medium, with the precision necessary in order that the dynamical equations of the medium in bulk, based in the usual manner on these quantities alone, without directly considering thermal stresses, shall be strictly valid - a discussion in which the relation of ordinary molar mechanics to the more complete molecular theory is involved.

    161

    The abrupt cessation of such an inexhaustible fount of enterprise and energy was a distinct loss to Sweden; and signs are not wanting that, in his latter years, Charles had begun to feel the need and value of repose.

    162

    On the 28th of May Rupert and d'Estrees, believing that De Ruyter was too much afraid of their superior numbers to venture to sea, sent in a squadron of light vessels and fire-ships to attack him, but he took the offensive at once, scattering the light squadron, and falling with energy on the restof the fleet, which, not being in expectation of a vigorous assault, was taken at a disadvantage.

    163

    The allies in Germany were now not merely checked but driven from point to point by Turenne, who on this occasion displayed a degree of energy rare in the military history of the period.

    164

    After the accession of the Whigs to office in 1832 he held various important offices in the ministry, and most of the measures of reform for Scotland, such as burgh reform, the improvements in the law of entail, and the reform of the sheriff courts, owed much to his sagacity and energy.

    165

    His life at Rugby was marked by great energy and bold initiative.

    166

    In his last years he passed most of his days at Aix, though he had sufficient energy to take the field for a short time during the Danish War.

    167

    Louis was readily induced to rebel; but the country was saved from a serious civil war by the energy of the king's officers and the solid loyalty of his "good cities."

    168

    Motion is obtained from a continuous-current generator driven by an alternating motor with a very heavy fly-wheel, a combination known as the Ilgner transformer, which runs continuously with a constant draught on the generating station, the extremely variable demand of the winding engine during the acceleration period being met by the energy stored in the fly-wheel, which runs at a very high speed.

    169

    Thus the molecular theory of matter, as we have now pictured it, leads us to identify heat-energy in a body with the energy of motion of the molecules of the body relatively to one another.

    170

    The molecules of the two surface-layers will exert forces upon one another, so that, when the rubbing takes place, each layer will set the molecules of the other into motion, and the energy of rubbing will be used in establishing this heat-motion.

    171

    As the temperature of a body increases the average energy of the molecules will increase, and therefore the range of their excursions from their positions of equilibrium will increase also.

    172

    The substance attains to a perfectly liquid state as soon as the energy of motion of the molecules is such that there is a constant rearrangement of position among them.

    173

    Moreover, the molecules which escape are, on the whole, those with the greatest energy.

    174

    The average energy of the molecules of the liquid is accordingly lowered by evaporation.

    175

    If the system is supposed to obey the conservation of energy and to move solely under its own internal forces, the changes in the co-ordinates and momenta can be found from the Hamiltonian equations aE aE qr = 49 - 1 57., gr where q r denotes dg r ldt, &c., and E is the total energy expressed as a function of pi, qi,.

    176

    Let the whole energy E of the system be supposed equal to Ei+E2, where E2 is of the form E2 = ?

    177

    The second line in E2 will represent the energy (or part of the energy) of s' similar molecules of the second kind, and so on.

    178

    The amplitude of the fork was observed when the sound just ceased to be audible at 27.4 metres away, and the rate of energy emission from the resonator was calculated to be 42 .

    179

    I suspect it is both; GNP rises, so we buy more energy, allowing GNP to rise so we can buy more energy.

    180

    People who live their lives following their passions seem more full of life and energy than anyone else.

    181

    From our point of view, the job of the plant is to convert sunlight into energy and store that energy in a tasty way; then when we eat the plant, we get that energy.

    182

    These sights and sounds had no depressing or intimidating effect on him; on the contrary, they stimulated his energy and determination.

    183

    Thanks to her activity and energy, which infected her fellow travelers, they approached Yaroslavl by the end of the second week.

    184

    The French crowd fled at a continually increasing speed and all its energy was directed to reaching its goal.

    185

    The pale, dark-haired youth was drenched, but it was the wild look on his face that made her stop in the middle of the foyer and watch him pace with agitated energy.

    186

    Her breath caught as his body sucked up her cool energy.

    187

    He was exhausted and wired with angry energy.

    188

    He drew her into his body, reveling in the flow of her cool energy.

    189

    The flow of energy soothed her, and she relaxed against him.

    190

    He carried on with Bianca like the sister she now was, and Jule couldn't help feeling a sense of gratitude towards the small woman with the quick smile, warm gaze, and healing energy.

    191

    Without touching him, she still felt the ebb and flow of energy.

    192

    Cold energy shot through Deidre, and she flinched.

    193

    Darkyn cupped her cheek with one hand, the cool energy spreading as his thumb rubbed her cheek lightly.

    194

    Darkyn touched her arm again, his cool energy making her snap.

    195

    He scared her, and she touched him instinctively, wanting his cool energy to help calm her emotions.

    196

    Deidre braced herself, hoping not to feel the warm energy of his magic.

    197

    His cool energy worked through her, calming her.

    198

    Cold energy sealed the deal as official.

    199

    He touched her again, cold energy spinning through her.

    200

    He gobbled everything he could grab as if building energy for the balance of his coast-to-coast trek.

    201

    Warm energy fluttered through her.

    202

    She gasped, the heat and energy of his touch making her shiver.

    203

    A ripple of cold energy floated through her head and made her shiver.

    204

    He caught her wrist, and a strange energy moved up her arm.

    205

    He pulled her closer to him, until their sides were pressed together, then released her as the weird energy fluttered through her.

    206

    The strange energy hummed through her again, and she became aware of new sensations she'd never noticed with anyone else.

    207

    Wired energy made him edgy and his step quick.

    208

    Her body was humming with the stranger's weird energy.

    209

    He couldn't forget the energy of the bond that tore through when he held her on the roof.

    210

    He rested his hand on the base of her neck, the warm energy of their bond moving through him.

    211

    She was surprised to feel a strange zap of energy, different than Gabriel's warmth but not unpleasant.

    212

    Deidre's body betrayed her, giving a full-form shudder at the rush of heat and energy.

    213

    Their energy made her skin tingle uncomfortably.

    214

    Cold energy traveled through her as she gripped the emerald.

    215

    It was followed by warm energy that Gabriel pushed into her body to calm her.

    216

    She wanted to tell him to leave, but whatever bond existed between them, it filled her with warmth and energy that quelled the meltdown she was about to have.

    217

    His energy sapped, the kid was sprawled half asleep across the race car bed.

    218

    He found some of his wired energy dissipating at the long walk and change of scenery despite knowing nothing good had ever come from a meeting with Sasha.

    219

    Her eyes were heavy, her anger draining her last bit of energy.

    220

    A blast of energy whipped by her, knocking her back, and the jaguar was sent flying.

    221

    The hot energy circulating through her body came from the large, olive-hued hands touching her.

    222

    The thrum of warm energy coursed through her again, and she felt again her destiny was tied with his.

    223

    Her thoughts drifted to the prisoner, the memory of his touch and the strange energy making her blood quicken.

    224

    The odd energy flowing between them held them both in silence for a long moment before he spoke.

    225

    The warrior before her had an intensity that made her breath catch, and the energy between them made her insides tingle.

    226

    She squirmed, unwilling to be defenseless with the tarantulas so close and uneasy with the warm energy flowing again between them.

    227

    She understood him and obviously felt the same energy he did when they touched.

    228

    His touch sent heated energy through her, and the nearness of his body made her tense.

    229

    The connection between them flowed with hot energy, the planet's life form itself bonding the two of them together at their touch.

    230

    She could feel his angry energy even over the viewer.

    231

    The initial sensations passed, and he breathed deeply, finally able to focus as his body adjusted to the feel of the energy flowing through him.

    232

    She didn't have the energy for a fight.

    233

    All she could think about was seeing, touching, kissing A'Ran and experiencing the odd energy that ran between them.

    234

    She felt the energy even from the distance and started forward.

    235

    Lana brought up the energy grids.

    236

    Everything this side of the Mississippi is working on solar energy, but not all the facilities are equipped with energy storage, and because it's fall, our energy collection is limited.

    237

    She listened for the familiar thrum of energy over her breathing.

    238

    She dragged the unconscious commander to the floor and replaced him in the seat before the energy terminal, assessing the damage done.

    239

    There was no running water, no food supplies, no energy whatsoever, just a deteriorating building with a score of insurgents and a small black box.

    240

    He was hot and sweaty, but he'd not yet been able to rid himself of the wired energy humming through his blood.

    241

    We're building a bigger battery to store the energy we generate from the river, but … Kelli shrugged.

    242

    There's no energy stored in it right now.

    243

    I'll check all the receivers and make sure the town will have energy before I go.

    244

    While they took away the fatigue and gave her energy, she could think of nothing but chocolate sundaes and pickles.

    245

    He managed to keep his body fluids up by frequent gulps to replenish his rapidly diminishing energy.

    246

    That was usually during the winter when he wasn't so busy and had more energy.

    247

    He must have had a lot of energy to keep up with two women.

    248

    Her cool energy surrounded him.

    249

    Here, magic emanated off of everything and filled her with its energy.

    250

    She was wired with a different kind of energy after the sparring session, one that made her remember all too clearly how she'd felt under his body.

    251

    Desire flew through her, hot and fast like the strange energy running between them.

    252

    With his healing magic and the first cheeseburger in her belly, Jenn felt renewed energy.

    253

    It explained the storm-cloud energy and how he'd broken her forearm with no effort.

    254

    Carnot, who were greatly impressed by his energy, sincerity and ability.

    255

    During his father's lifetime he had greatly distinguished himself by his administration of Transylvania, then a wilderness, which, with incredible patience and energy, he colonized and christianized.

    256

    A bent spring possesses energy, for it is capable of doing work in returning to its natural form; a charge of gunpowder possesses energy, for it is capable of doingwork in exploding; aLeyden jar charged with electricity possesses energy, for it is capable of doing work in being discharged.

    257

    The motions of bodies, or of the ultimate parts of bodies, also involve energy, for stopping them would be a source of work.

    258

    All kinds of energy are ultimately measured in terms of work.

    259

    Energy is the capacity for doing work.

    260

    Hence it is not surprising that, in those more subtle forms in which energy cannot be readily or completely converted into work, the universality of the principle of energy, its conservation, as regards amount, should for a long while have escaped recognition after it had become familiar in pure dynamics.

    261

    The smoother we make the pulley the more nearly does the amount of useful work which the weight is capable of doing approach ro foot-pounds, and if we take into account the work done against the friction of the pulley, we may say that the work done by the descending weight is ro foot-pounds, and hence when the weight is in its elevated position we have at disposal r o foot-pounds more energy than when it is in the lower position.

    262

    It should be noticed, however, that this energy is possessed by the system consisting of the earth and pound together, in virtue of their separation, and that neither could do work without the other to attract it.

    263

    The system consisting of the earth and the pound therefore possesses an amount of energy which depends on the relative positions of its two parts, on account of the latent physical connexion existing between them.

    264

    In most mechanical systems the working stresses acting between the parts can be determined when the relative positions of all the parts are known; and the energy which a system possesses in virtue of the relative positions of its parts, or its configuration, is classified as "potential energy," to distinguish it from energy of motion which we shall presently consider.

    265

    A simple example of the transformation of kinetic energy into potential energy, and vice versa, is afforded by the pendulum.

    266

    When work is done against these forces no full equivalent of potential energy may be produced; this applies especially to frictional forces, for if the motion of the system be reversed the forces will be also reversed and will still oppose the motion.

    267

    Newton had divined the principle of the conservation of energy, so far as it belongs purely to mechanics.

    268

    There was, however, even before Newton's time, more than a suspicion that heat was a form of energy.

    269

    After Newton's time the first vigorous effort to restore the universality of the doctrine of energy was made by Benjamin Thompson, Count Rumford, and was published in the Phil.

    270

    P. Joule to achieve; his experiments conclusively prove that heat and energy are of the same nature, and that all other forms of energy can be transformed into an equivalent amount of heat.

    271

    He argued that, if heat be energy, then, when it is employed in doing work, as in a steam-engine, some of the heat must itself be consumed in the operation.

    272

    Mayer made an assumption the converse of that of Seguin, asserting that the whole of the work done in compressing the air was converted into heat, and neglecting the possibility of heat being consumed in doing work within the air itself or being produced by the transformation of internal potential energy.

    273

    In this experiment a great noise was produced, corresponding to a loss of energy, and Joule endeavoured to determine the amount of energy necessary to produce an equal amount of sound from the string of a violoncello and to apply a corresponding correction.

    274

    A metal vessel was placed in a calorimeter and air forced into it, the amount of energy expended in compressing the air being measured.

    275

    Assuming that the whole of the energy was converted into heat, when the air was subjected to a pressure of 21.5 atmospheres Joule obtained for the mechanical equivalent of heat about 824.8 foot-pounds, and when a pressure of only 10 .

    276

    By continuing this process every unit of mass which enters B will carry with it more energy than each unit which leaves B, and hence the temperature of the gas in B will be raised and that of the gas in A lowered, while no heat is lost and no energy expended; so that by the application of intelligence alone a portion of gas of uniform pressure and temperature may be sifted into two parts, in which both the temperature and the pressure are different, and from which, therefore, work can be obtained at the expense of heat.

    277

    This shows that the principle of the dissipation of energy has control over the actions of those agents only whose faculties are too gross to enable them to grapple individually with the minute portions of matter which are the seat of energy.

    278

    In the preface he states the position that "whenever, then, two gases are allowed to mix without the performance of work, there is dissipation of energy, and an opportunity of doing work at the expense of low temperature heat has been for ever lost."

    279

    In such experiments the molecular energy of a gas is converted into work only in virtue of the molecules being separated into classes in which their velocities are different, and these classes then allowed to act upon one another through the intervention of a suitable heat-engine.

    280

    If we could drive the engine so fast as to reduce C' to zero, the whole of the energy of the battery would be available, no heat being produced in the wires, but the horse-power of the engine would be indefinitely small.

    281

    The availability of the energy of electrical separation in a charged Leyden jar is also limited only by the resistance of conductors, in virtue of which an amount of heat is necessarily produced, which is greater the less the time occupied in discharging the jar.

    282

    The availability of the energy of magnetization is limited by the coercive force of the magnetized material, in virtue of which any change in the intensity of magnetization is accompanied by the production of heat.

    283

    In all cases there is a general tendency for other forms of energy to be transformed into heat on account of the friction of rough surfaces, the resistance of conductors, or similar causes, and thus to lose availability.

    284

    It is practically important to consider the rate at which energy may be transformed into useful work, or the horse-power of the agent.

    285

    It generally happens that to obtain the greatest possible amount of work from a given supply of energy, and to obtain it at the greatest rate, are conflicting interests.

    286

    A similar condition obtains in the steamengine, in which a great rate of working necessitates the dissipation of a large amount of energy.

    287

    The electric transmission of energy can be performed with an efficiency not reached by any other method, and the electric motor readily adapts itself to cranes.

    288

    To control the speed and Brakes absorb this energy, brakes have to be provided.

    289

    In electric cranes a useful method is to arrange the connexions so that the lifting motor acts as a dynamo, and, driven by the energy of the falling load, generates a current which is converted into heat by being passed through resistances.

    290

    When electric oscillations are set up in an open or closed electric circuit having capacity and inductance, and left to themselves, they die away in amplitude, either because they dissipate their energy as heat in overcoming the resistance of the circuit, or because they radiate it by imparting wave motion to the surrounding ether.

    291

    Accordingly this energy is rapidly dissipated and but few oscillations can take place.

    292

    If, however, the antenna is inductively or directly coupled to a condenser circuit of large capacity then the amount of energy which can be stored up before discharge takes place is very much greater, and hence can be drawn upon to create prolonged or slightly damped trains of waves.

    293

    When electric oscillations are set up in these two classes of electric radiators, the first class send out a highly damped wave train and the second a feeble damped wave train provided that they have sufficient capacity or energy storage and low resistance.

    294

    When oscillations are excited in this last circuit they communicate them to the antenna provided this last circuit is tuned or syntonized to the closed circuit, and the radiating antenna has thus a large store of energy to draw upon and can therefore radiate prolonged trains of electric waves.

    295

    The lower classes provoked disorders, which were very serious at Leghorn, and were only quelled by Guerrazzis energy.

    296

    Almost the only respect in which the Left could boast a decided improvement over the administration of the Right was the energy displayed by Nicotera in combating brigandage and the mafia in Calabria and Sicily.

    297

    Though sixty-eight years of age, Crispi possessed an activity, a rapidity of decision and an energy in execution with which none of his contemporaries could vie.

    298

    In the Armenian question Italy seconded with energy the diplomacy of Austria and Germany, while the Italian fleet joined the British Mediterranean squadron in a demonstration off the Syrian.

    299

    On the 17th of April a general railway strike was ordered by the union, but owing to the action of the authorities, who for once showed energy, the traffic was carried on, Other disturbances of a serious character occurred among the steelworkers of Terni, at Grammichele in Sicily and at Alessandria.

    300

    Baldwin raised them to great prosperity by his energy and foresight, and chiefly as a result of the active political and military support he rendered to the emperors Henry VII., Louis the Bavarian and Charles IV.

    301

    Brown and Escombe have shown that the amount of solar energy taken up by a green leaf may often be fifty times as much as it can utilize in the constructive processes of which it is the seat.

    302

    Whether the leaf is brightly or only moderately illuminated, the same relative proportions of the total energy absorbed are devoted to the purposes of composition and construction respectively.

    303

    The idea was till recently currently accepted, that anything which plants absorbed from without, and which went to build up their organic substance, or to supply them with energy, or to exert some beneficial influence upon their metabolism, coiistituted their food.

    304

    The absorption of these rays implies that the pigment absorbs radiant energy from the sun, and gives us some explanation of its power of constructing the carbohydrates which has been mentioned as the special work of the apparatus.

    305

    Supply and Distribution of Energy in PlantsIt is well known that one of the conditions of life is the maintenance of the process which is known as respiration.

    306

    These respiratory processes are associated with the liberation of energy by the protoplasm, energy which it applies to various purposes.

    307

    The fundamental difference between the two methods is that while the mechanical energy developed by a steam engine is in the first case applied directly to the driving-axle of the locomotive, in the second case it is transformed into electrical energy, transmitted over relatively long distances, and retransformed into mechanical energy on the driving-axles of the train.

    308

    That is to say, the engine actually utilized 61% of the energy which it was possible to utilize by means of a perfect engine working with the same initial pressure against a back pressure equal to;the atmosphere.

    309

    In such a case, the best retort was to return in all haste in order to put more energy into the huge centralized organism which the emperor alone could work.

    310

    All creatures exist only through the continuous creative energy of the Divine Being, and are no more independent of his will than are our thoughts independent of us, - or rather less, for there are thoughts which force themselves upon us whether we will or not.

    311

    But these outbursts of energy were too spasmodic, and popular opinion repeatedly veered back in favour of the peace-party.

    312

    At this period Athens was altogether overshadowed in material strength by the great Hellenistic monarchies and even by the new republican leagues of Greece; but she could still on occasion display great energy and patriotism.

    313

    The subsequent history of Benares contains two important events, the rebellion of Chait Singh in 1781, occasioned by the demands of Warren Hastings for money and troops to carry on the Mahratta War, and the Mutiny of 1857, when the energy and coolness of the European officials, chiefly of General Neill, carried the district successfully through the storm.

    314

    In all cases of chemical change energy in the form of heat is either developed or absorbed, and the amount of heat developed or absorbed in a given reaction is as definite as are the weights of the substance engaged in the reaction.

    315

    We may suppose that in the formation of gaseous hydrochloric acid from gaseous chlorine and hydrogen, according to the equation H2 +C1 2 = HCI+HC1, a certain amount of energy is expended in separating the atoms of hydrogen in the hydrogen molecule, and the atoms of chlorine in the chlorine molecule, from each other; but that heat is developed by the combination of the hydrogen atoms with the chlorine atoms, and that, as more energy is developed by the union of the atoms of hydrogen and chlorine than is expended in separating the hydrogen atoms from each other and the chlorine atoms from one another, the result of the action of the two elements upon each other is the development of heat, - the amount finally developed in the reaction being the difference between that absorbed in decomposing the elementary molecules and that developed by the combination of the atoms of chlorine and hydrogen.

    316

    In the formation of gaseous hydrobromic acid from liquid bromine and gaseous hydrogen H2+Br2=HBr+HBr, in addition to the energy expended in decomposing the hydrogen and bromine molecules, energy is also expended in converting the liquid bromine into the gaseous condition, and probably less heat is developed by the combination of bromine and hydrogen than by the combination of chlorine and hydrogen, so that the amount of heat finally developed is much less than is developed in the formation of hydrochloric acid.

    317

    Lastly, in the production of gaseous hydriodic acid from hydrogen and solid iodine H2 - 1 - 12=HI+HI, so much energy is expended in the decomposition of the hydrogen and iodine molecules and in the conversion of the iodine into the gaseous condition, that the heat which it may be supposed is developed by the combination of the hydrogen and iodine atoms is insufficient to balance the expenditure, and the final result is therefore negative; hence it is necessary in forming hydriodic acid from its elements to apply heat continuously.

    318

    Physical Chemistry We have seen how chemistry may be regarded as having for its province the investigation of the composition of matter, and the changes in composition which matter or energy may effect on matter, while physics is concerned with the general properties of matter.

    319

    Another branch, related to energetics, is concerned with the transformation of chemical energy into other forms of energy - heat, light, electricity.

    320

    Combustion is a familiar example of the transformation of chemical energy into heat and light; the quantitative measures of heat evolution or absorption (heat of combustion or combination), and the deductions therefrom, are treated in the article Thermochemistry.

    321

    Transformations of electrical into chemical energy are witnessed in the processes of electrolysis (q.v.; see also Electrochemistry and Electrometallurgy).

    322

    If, however, an amount of energy a is taken up in separating atoms, the ratio is expressible as C p /C„= (5+a)/(3-Fa), which is obviously smaller than 5/3, and decreases with increasing values of a.

    323

    If triple bonds, q in number, occur also, and the energy of such a bond be Z, the equation for H becomes H = nE-+-mn -1-p(2X - Y) +q(3X - Z).

    324

    The first group, named the " luminophore," is such that when excited by suitable aetherial vibrations emits radiant energy; the other, named the " fluorogen," acts with the luminophore in some way or other to cause the fluorescence.

    325

    Mendeleeff endeavoured to obtain a connexion between surface energy and constitution; more successful were the investigations of Schiff, who found that the " molecular surface tension," which he defined as the surface tension divided by the weight.

    326

    Ramsay and Shields suggested that there exists an equation for the surface energy of liquids, analogous to the volume-energy equation of gases, PV = RT.

    327

    But though in Rienzi Wagner had shown energy and ambition, that work was far from representing his preconceived ideal.

    328

    The Persian monarchy was strong in its size, in the mere amount of men and treasure it could dispose of under a single hand; the Greek state was strong in its morale, in the energy and discipline of its soldiery.

    329

    The last duke of Elbeuf was Charles Eugene of Lorraine, prince de Lambesc, who distinguished himself in 1789 by his energy in repressing risings of the people at Paris.

    330

    In these men the millennarianism of the ancient church came to life again; and in the revolutionary movements of the i 5th and 16th centuries - especially in the Anabaptist movements - it appears with all its old uncompromising energy.

    331

    Subsequently he edited a weekly paper at Waltham, studied law and was admitted to the bar, his energy and his ability as a public speaker soon winning him distinction.

    332

    These writings, however, corresponded to but one phase of Rankine's immense energy and many-sided character.

    333

    In 18 To, owing to the growth of Methodism and the lack of ordained ministers, he led the Connexion in the movement for connexionally ordained ministers, and his influence was the chief factor in the success of that important step. From 1811 to 1814 his energy was mainly devoted to establishing auxiliary Bible Societies.

    334

    This was the task of the early Hebrew thinkers, and to it a large part of the higher energy of the nation was devoted.

    335

    The prophetic office ceased to exist when its work was done, and part of the intellectual energy of the people was thus set free for other tasks than the establishment of theistic dogma.

    336

    The charge of pacifism was often brought against him, and his career generally as Secretary was widely condemned throughout the United States as lacking in energy, foresight and ability, and especially for his failure to prepare adequately in the months immediately preceding the American declaration of war.

    337

    With his energy, ability and gift of dominating and organizing, he might indeed have done a great deal.

    338

    For the subjects of this general heading see the articles Mechanics; Dynamics, Analytical; Gyroscope; Harmonic Analysis; Wave; HYDROMechanics; Elasticity; Motion, Laws Of; Energy; Energetics; Astronomy (Celestial Mechanics); Tide.

    339

    Under the " new regime " the Turkish government displayed commendable energy in reconstructing and reorganizing the seapower of the empire.

    340

    The troubles arising from this cause and from greater energy in the collection of taxes led the Armenians in outlying and mountainous districts to rise against the authorities.

    341

    The defeats undergone by their outpost detachment had profoundly affected the nerves of the troops, and on the afternoon of the 11th, on the false alarm of a French approach, a panic broke out in the streets of Jena, and it took all the energy of Hohenlohe and his staff to restore order.

    342

    The Peninsular War called for large forces of the old Grande Arsnee and for a brief period Napoleon directed operations in person; and the Austrians took advantage of the dissemination and weakness of the French forces in Germany to push forward their own preparations with renewed energy.

    343

    Ceaseless industry and energy were the principal results of the victory.

    344

    A partial explanation of this phenomenon may perhaps be found in the economy of nervous energy his strategical method ensured to him.

    345

    In 1894 he was greatly cheered by the plan, suggested by friends in England and carried out by them with the greatest energy, of the noble collection of his works in twenty-eight volumes, since known as the Edinburgh editions.

    346

    The Greeks are of an especially fine type, physical and moral, and noted all through Anatolia for energy and stability.

    347

    Carbonic acid is taken from the water and synthesized (by the mediation of light energy) into carbohydrate.

    348

    Crowds of persons attended his addresses, on whom his energy, command of language, powerful voice and impassioned gestures made a profound impression.

    349

    Graham, crossing the Douro near Lamego, carried out his laborious march with great energy, and Joseph retired precipitately from the Douro, behind the Pisuerga.

    350

    For some years Gratian governed the empire with energy and success, but gradually he sank into indolence, occupied himself chiefly with the pleasures of the chase, and became a tool in the hands of the Frankish general Merobaudes and bishop Ambrose.

    351

    The ions are associated with very large electric charges, and, whatever their exact relations with those charges may be, it is certain that the energy of a system in such a state must be different from its energy when unelectrified.

    352

    In accordance with the principles of energetics, any change which involves a decrease in the total available energy of the system will tend to occur, and thus the necessary and sufficient condition for the production of electromotive force is that the available energy of the system should decrease when the current flows.

    353

    This process involves a decrease in the available energy of the system, for the dissolution of zinc gives out more energy than the separation of copper absorbs.

    354

    It is necessary to observe that the condition for change in a system is that the total available energy of the whole system should be decreased by the change.

    355

    Thus in the Daniell cell the dissolution of copper as well as of zinc would increase the loss in available energy.

    356

    In order that positively electrified ions may enter a solution, an equivalent amount of other positive ions must be removed or negative ions be added, and, for the process to occur spontaneously, the possible action at the two electrodes must involve a decrease in the total available energy of the system.

    357

    Now a well-known relation connects the available energy of a reversible system with the corresponding change in its total internal energy.

    358

    If the chemical changes which occur in the cell were allowed to take place in a closed vessel without the performance of electrical or other work, the change in energy would be measured by the heat evolved.

    359

    Since the final state of the system would be the same as in the actual processes of the cell, the same amount of heat must give a measure of the change in internal energy when the cell is in action.

    360

    Thus, if L denote the heat corresponding with the chemical changes associated with unit electric transfer, Le will be the heat corresponding with an electric transfer e, and will also be equal to the change in internal energy of the cell.

    361

    Hence we get the equation Ee = Le +Te (dE/dT) or E = L+T(dE/dT), as a particular case of the general thermodynamic equation of available energy.

    362

    In the latter case, the tendency of the metal to dissolve in the more dilute solution is greater than its tendency to dissolve in the more concentrated solution, and thus there is a decrease in available energy when metal dissolves in the dilute solution and separates in equivalent quantity from the concentrated solution.

    363

    An electromotive force is therefore set up in this direction, and, if we can calculate the change in available energy due to the processes of the cell, we can foretell the value of the electromotive force.

    364

    Once more we see that it is the total impending change in the available energy of the system which controls the electromotive force.

    365

    But the government and the people displayed a memorable and exemplary energy, under the constant supervision of the king, the queen, and burgomaster Nansen.

    366

    The fear of being imprisoned in a convent for the rest of her life was the determining cause of her irresistible outburst of energy.

    367

    Forces acting on a Small Body in the Magnetic Field.-If a small magnet of length ds and pole-strength m is brought into a magnetic field such that the values of the magnetic potential at the negative and positive poles respectively are V 1 and the work done upon the magnet, and therefore its potential energy, will be W =m(V2-Vi) =mdV, which may be written W =m d s- = M d v= - MHo = - vIHo, ds ds where M is the moment of the magnet, v the volume, I the magnetization, and Ho the magnetic force along ds.

    368

    Hopkinson pointed out that the greatest dissipation of energy which can be caused by a to-and-fro reversal is approximately represented by Coercive force X maximum induction fir.

    369

    For specimens of large sectional area it is necessary to apply corrections in respect of the energy dissipated by eddy currents and in heating the secondary circuit.

    370

    In response to the demand, manufacturers have succeeded in producing transformer plate in which the loss of energy due to hysteresis is exceedingly small.

    371

    The rate at which energy is lost being proportional to the frequency, it is obvious that the loss at frequency ioo may be deduced from that at any other frequency n by simply multiplying by too n.

    372

    Further, if the alternations take place so slowly that the full maximum and minimum values of the magnetization are reached in the intervals between the reversals, there will again be no dissipation of energy.

    373

    But at any intermediate frequency the ascending and descending curves of magnetization will enclose a space, and energy will be dissipated.

    374

    Applying the principle of the conservation of internal energy, he demonstrates that for iron in a field of woo units and upwards the E.M.F.

    375

    Now the unstable movements of the needles are of a mechanically irreversible character; the energy expended in dissociating the members of a combination and placing them in unstable positions assumes the kinetic form when the needles turn over, and is ultimately frittered down into heat.

    376

    Hence in performing a cycle there is a waste of energy corresponding to what has been termed hysteresis-loss.

    377

    Supposing Ewing's hypothesis to be correct, it is clear that if the magnetization of a piece of iron were reversed by a strong rotating field instead of by a field alternating through zero, the loss of energy by hysteresis should be little or nothing, for the molecules would rotate with the field and no unstable movements would be possible.'

    378

    Besides this most important contribution to the general fabric of dynamical science, we owe to Lagrange several minor theorems of great elegance, - among which may be mentioned his theorem that the kinetic energy imparted by given impulses to a material system under given constraints is a maximum.

    379

    In spite of its wide basis and great energy, the monte dei riformatori, the heart of the new government, could not satisfactorily cope with the attacks of adverse factions and treacherous allies.

    380

    Espartero crushed with much energy a revolutionary rising in Barcelona, but on his return to Madrid was so coldly welcomed that he perceived that his prestige was on the wane.

    381

    Mutesa was a clever man of restless energy, but regardless of human life and suffering, and consumed by vanity.

    382

    Deliverance from the pantheistic conception of the universe comes through the recognition of the central place occupied by thought and purpose in the actual world, and, as a consequence of this, of the illegitimacy of the abstraction whereby material energy is taken for the ultimate reality.

    383

    They spent their energy in attacking Plato and Aristotle, and hence earned the opprobrious epithet of Eristic. They used their dialectic subtlety to disprove the possibility of motion and decay; unity is the negation of change, increase and decrease, birth and death.

    384

    Thus, the gases are not present in simple multiples of their combining weights; atmospheric air results when oxygen and nitrogen are mixed in the prescribed ratio, the mixing being unattended by any manifestation of energy, such as is invariably associated with a chemical action; the gases may be mechanically separated by atmolysis, i.e.

    385

    Unfortunately for him the first orders sent to Billow by Gneisenau, chief of the staff, at midnight June 14-1 5, were written in so stilted and hazy a style that Billow did not consider any especial display of energy was required.

    386

    After doing what was possible to infuse energy into the operations of the French forces, he returned to Paris and was made a member of the Committee of Public Safety.

    387

    He continued to visit the armies at the front, and to inspire them with energy.

    388

    The swellings on the palmar faces of the phalanges of the several fingers are also indicative, the 1st and and of the thumb respectively, of the logical faculty and of the will; the 1st, and and 3rd of the index finger, of materialism, law and order, idealism; those of the middle finger, humanity, system, intelligence; of the ring finger, truth, economy, energy; and of the little finger, goodness, prudence, reflectiveness.

    389

    When the excitement caused by the Revolution had subsided, Congregationalism entered upon a new period of energy.

    390

    Fortunately the college was more or less successful, owing largely to his enthusiasm and energy, and many of the men who were trained there subsequently made their mark in chemical history.

    391

    Noske, notwithstanding the genuineness of his Republican and Social Democratic opinions, enjoyed con siderable popularity in the new army and with the reactionary friends of law and order, as a man of decided character, great energy and resourcefulness in times of crisis.

    392

    The talents and energy with which he was endowed had endeared him to the people, and great hopes were founded on his accession.

    393

    His energy and ability were conspicuous in the disastrous battle of Chancellorsvine (q.v.); and at Gettysburg the part played by the III.

    394

    His singleness of purpose, personal independence and indomit able energy enabled him to achieve triumphs that to others seemed impossible.

    395

    We may say here that the energy or the intensity of the sound of given wave-length is proportional to the square of the amplitude.

    396

    We shall show that if we sum these up for a whole wave the potential energy is equal to the kinetic energy.

    397

    The kinetic energy per cubic centimetre is 2 pu t, where is the density and u is the velocity of disturbance due to the passage of the wave.

    398

    But the energy will also be doubled, so that (15) still gives the average excess of pressure.

    399

    But there is always leakage of energy either through friction or through wave-emission, so that the vibration only increases up to the point at which the leakage of energy balances the energy put in by the applied force.

    400

    Further, the greater the dissipation of energy the less is the prominence of the amplitude of vibration for exact coincidence over the amplitude when the periods are not quite the same, though it is still the greatest for coincidence.

    401

    Probably we should be driven to a purely physical unit, the stream of energy proceeding in any direction, and if the noise were great enough we might measure it possibly by the pressure against a surface.

    402

    The intensity of the stream of energy passing per second through a square centimetre when a given pure tone is sounded is more definite and can be measured.

    403

    In the one, the energy of vibration of the source is measured, and the rate at which that energy decreases is observed.

    404

    The amount radiated out in the form of sound waves is deduced, and hence the energy of the stream at any distance is known.

    405

    The energy of this fork with a given amplitude of vibration could be calculated from its dimensions and elasticity, and the amplitude was observed by measuring with a microscope the line into which the image of a starch grain on the prong was drawn by the vibration.

    406

    The rate of loss of energy was calculated from the rate of dying down of the vibration.

    407

    The difference in loss in the two cases measured the energy given up to and sent out by the resonator as sound.

    408

    It is remarkable that, as Lord Rayleigh says, " the streams of energy required to influence the eye and the ear are of the same order of magnitude."

    409

    But the reflection is not complete, for some of the energy comes out as waves; hence the direct and reflected trains are quite equal, and cannot neutralize each other at the loop.

    410

    If r is of the order of A, n is of the order of y; and the kinetic energy of the radial motion is of the same order as that of the longitudinal motion.

    411

    When a system is set vibrating and left to itself, the vibration gradually dies away as the energy leaks out either in the waves formed or through friction.

    412

    Hence the stream of air does work during half the vibration and this is not abstracted during the other half, and so it goes on increasing the motion until the supply of energy in blowing is equal to the loss by friction and sound.

    413

    During the quarter swing ending with greatest nodal pressure, the kinetic energy is changed to potential energy manifested in the increase of pressure.

    414

    This becomes again kinetic in the second quarter swing, then in the third quarter it is changed to potential energy again, but now manifested in the decrease of pressure.

    415

    The pressure is further increased and the potential energy is also increased.

    416

    There will be more kinetic energy formed in the return journey and the vibration tends to grow.

    417

    But if the heat is given at the instant of greatest rarefaction, the increase of pressure lessens the difference from the undisturbed pressure, and lessens the potential energy, so that during the return less kinetic energy is formed and the vibration tends to die away.

    418

    In 1840 he ', as thus enabled to give a quantitative statement of the law acc s rding to which heat is produced in a conductor by the pas ageof an electric current, and in succeeding years he publish d a series of valuable researches on the agency of electricity in ansformations of energy.

    419

    Henry soon returned to Saxony, where he found full scope for his untiring energy.

    420

    His personal courage and extreme affability made him highly popular among the lower orders, but he showed himself quite incapable of taking advantage permanently of the revival of the national energy, and the extraordinary overflow of native middle-class talent, which were the immediate consequences of the revolution of 1660.

    421

    On graduating at Berlin in August 1836, Waitz went to Hanover to assist Pertz in the great national work of publishing the Monumenta Germaniae historica; and the energy and learning he displayed in that position won him a summons to the chair of history at Kiel in 1842.

    422

    She was able to display remarkable energy in visiting the sights of the city, and even went as far afield as San Gimignano; and her visit had a notable effect in strengthening the bonds of friendship between the United Kingdom and the Italian people.

    423

    Meters intended to measure electric energy (which is really the subject of the sale and purchase) are called joule meters, or generally watt-hour meters.

    424

    Electrolytic Meters are exclusively ampere-hour meters, measuring electric quantity directly and electric energy only indirectly, on the assumption that the pressure of the supply is constant.

    425

    The shunted voltameter was then inserted in series with the electric supply mains leading to the house or building taking electric energy, and the current which passed dissolved the zinc from one plate and deposited it upon the other, so that after a certain interval of time had elapsed the altered weight of the plates enabled the quantity of electricity to be determined from the known fact that an electric current of one ampere, flowing for one hour, removes 1.2533 grammes of zinc from a solution of sulphate of zinc. Hence the quantity in amperehours passing through the electrolytic cell being known and the fraction of the whole quantity taken by the cell being known, the quantity supplied to the house was determined.

    426

    Hence the meter is a watt-hour meter and measures electric energy.

    427

    When this is the case, the number of revolutions of the meter in a given time is a measure of the watt-hours or energy which is passed through the meter.

    428

    The counting mechanism and dials may be so arranged as to indicate this energy directly in watt-hours.

    429

    On the other hand the resistance of the shunt coil absorbs energy which generally varies from i to 3 watts and is a loss either to the consumer or to the supply company, according to the manner in which the shunt coil is connected.

    430

    As soon as the plate has lost a certain amount of weight corresponding to the value of the electric energy represented by the coin, the plate rises out of the liquid and cuts off the current.

    431

    The emperor took no notice of these offers, and ordered him to govern with more energy.

    432

    In person he somewhat resembled Napoleon, but utterly lacked his strength and energy.

    433

    In the early part of that campaign Jerome was entrusted with an important movement which might have brought the southern Russian army into grave danger; on his failure (which was probably due to his lack of energy) the emperor promptly subjected him to the control of Marshal Davout, and Jerome returned to Cassel.

    434

    Yet the energy of the sexagenarian statesman was wonderful.

    435

    He filled this post with the same energy which he had shown in the many scientific commissions in which he had taken part.

    436

    Tait in an article on "Energy," published in Good Words in 1862, which gave rise to a long but lively discussion.

    437

    At Austerlitz he had the satisfaction of witnessing the actual results of his artillery reforms. The commissariat scandals which came to light after the peace of Tilsit convinced the emperor that nothing short of the stern and incorruptible energy of Arakcheev could reach the sources of the evil, and in January 1808 he was appointed inspector-general and war minister.

    438

    Let E be the effective elasticity of the aether; then E = pc t, where p is its density, and c the velocity of light which is 3 X 10 10 cm./sec. If = A cos" (t - x/c) is the linear vibration, the stress is E dE/dx; and the total energy, which is twice the kinetic energy Zp(d/dt) 2 dx, is 2pn2A2 per cm., which is thus equal to 1.8 ergs as above.

    439

    It thus appears that if the amplitude of vibration could be as much as 1 o_2 of the wave-length, the aether would be an excessively rare medium with very slight elasticity; and yet it would be capable of transmitting the supply of solar energy on which all terrestrial activity depends.

    440

    Long previously Lord Kelvin himself came nearer this view, in offering the opinion that magnetism consisted, in some way, in the angular momentum of the material molecules, of which the energy of irregular translations constitutes.

    441

    Gauss, that the definite results attainable by the hypothesis of mutual atomic attractions really reposed on much wider and less special principles - those, namely, connected with the modern doctrine of energy.

    442

    The evidence for this view, that all these agencies are at bottom connected together and parts of the same scheme, was enormously strengthened during the latter half of the 19th century by the development of a relation of simple quantitative equivalence between them; it has been found that we can define quantities relating to them, under the names of mechanical energy, electric energy, thermal energy, and so on, so that when one of them disappears, it is replaced by the others to exactly equal amount.

    443

    This single principle of energy has transformed physical science by making possible the construction of a network of ramifying connexions between its various departments; it thus stimulates the belief that these constitute a single whole, and encourages the search for the complete scheme of interconnexion of which the principle of energy and the links which it suggests form only a single feature.

    444

    Thus, if we are treating of energy, we can separate out mechanical and electric and other constituents in it; and there will be a residue of which we know nothing except its quantity, and which we call thermal.

    445

    This merely thermal energy - which is gradually but very slowly being restricted in amount as new subsidiary organized types become recognized in it - though transmutable in equivalent quantities with the other kinds, yet is so only to a limited extent; the tracing out of the laws of this limitation belongs to the science of thermodynamics.

    446

    It is the business of that science to find out what is the greatest amount of thermal energy that can possibly be recoverable into organized kinds under given circumstances.

    447

    The fundamental character of energy in material systems here comes into view; if there were any other independent scalar entity, besides mass and energy, that pervaded them with relations of equivalence, we should expect the existence of yet another set of qualities analogous to those connected with temperature.

    448

    If we rest on the synthesis here described, the energy of the matter, even the thermal part, appears largely as potential energy of strain in the aether which interacts with the kinetic energy associated with disturbances involving finite velocity of matter.

    449

    MacCullagh's hands the correct equations were derived from a single energy formula by the principle of least action; and while the validity of this dynamical method was maintained, it was frankly admitted that no mechanical analogy was forthcoming.

    450

    The most fundamental experimental confirmation that the theory of the aether has received on the optical side in recent years has been the verification of Maxwell's proposition that radiation exerts mechanical force on a material system, on which it falls, which may be represented in all cases as the resultant of pressures operating along the rays, and of intensity equal at each point of free space to the density of radiant energy.

    451

    But the Montagnards made up by their fanatical, or desperate, energy and boldness for what they lacked in talent or in numbers.

    452

    We may gauge the energy with which the Greek intellect turned in this direction if we call to mind that the controversy about dogma was replaced by the controversy about images.

    453

    But the controversy about predestination, which, in the 9th century, Hincmar and Hrabanus fought out with the monk Gottschalk of Fulda, as well as the discussions that arose from the definition of the doctrine of transubstantiation of Radbert, enable us to gauge the intellectual energy with which theological problems were once more being handled.

    454

    The energy of a succession of distinguished abbots and the disciples whom they inspired succeeded in bringing about the victory of the reforming ideas in the French monasteries; once more the rule of St Benedict controlled the life of the monks.

    455

    An energy which never slackened, a doggedness which no adversity could crush, a fiery ambition coupled with the coolest calculation, and a diplomatic unscrupulousness which looked always to the end and never to the means, these were the salient qualities of the reconstructor of the dismembered Danish state.

    456

    Valdemar now gave full play to his endless energy.

    457

    But towards the end of his reign the energy of Wladislaus revived, and he began to occupy himself with another scheme for regenerating his country, in its own despite, by means of the Cossacks.

    458

    The war with Muscovy was then prosecuted with renewed energy and extraordinary success.

    459

    At the siege of Devanhalli (1749) Hyder's services attracted the attention of Nanjiraj, the minister of the raja of Mysore, and he at once received an independent command; within the next twelve years his energy and ability had made him completely master of minister and raja alike, and in everything but in name he was ruler of the kingdom.

    460

    He had as a nucleus but few regular troops, but the energy of the military and civil authorities enabled his force to be augmented by national guards, &c., to 17,600 men.

    461

    In this war, which resembles in character, and in its striking vicissitudes, the English War of the Roses at the end of the 15th century, Abdur Rahman soon became distinguished for ability and daring energy.

    462

    Spain undoubtedly owed to Isabella's clear intellect, resolute energy and unselfish patriotism much of that greatness which for the first time it acquired under "the Catholic sovereigns."

    463

    After a certain discount for friction and the recoil of the gun, the net work realized by the powder-gas as the shot advances AM is represented by the area Acpm, and this is equated to the kinetic energy e of the shot, in foot-tons, (I) e d2 I + p, a in which the factor 4(k 2 /d 2)tan 2 S represents the fraction due to the rotation of the shot, of diameter d and axial radius of gyration k, and S represents the angle of the rifling; this factor may be ignored in the subsequent calculations as small, less than I %.

    464

    One of the distinguished pupils of Photius, Arethas, bishop of Caesarea in Cappadocia (c. 907-932), devoted himself with remarkable energy to collecting and expounding the Greek classics.

    465

    Moreover, all his martial energy notwithstanding, his personality must have been singularly winning; for it is said of him that he left behind not a single enemy, all his opponents having long since been converted by him into friends.

    466

    The duration of the war was due to the nature of the country and the enormous distances to be traversed, not to any want of energy, for the armies were in deadly earnest and their battles and combats (of which two thousand four hundred can be named) sterner than those of almost any war in modern history.

    467

    Foote's gunboats could, and did, run the gauntlet, but a canal had to be cut right round the batteries for the transports, before the land forces could cross the river and attack the works in rear; when this was accomplished, by the skill and energy of all concerned, the place with its garrison of 7000 men surrendered at once (April 8, 1862).

    468

    The new commander displayed great energy in reorganizing the Army of the Potomac, the discipline of which had not come unscathed through a career of failure.

    469

    The Kuluglis,descendants of Turks by native women - once a distinct race noted for their energy, bravery and pride - have almost ceased to exist as a separate people, being merged in the Moors.

    470

    His reign was one of uninterrupted peace, and the great material development of the two kingdoms during the first half of the 19th century was largely due to his energy and foresight.

    471

    Visited in 1873 and 1878 the colony was found in excellent order, but by the end of the century it was stated that intermarriage was bringing a deterioration of intellect, morals and energy, and that the islanders would probably drift into imbecility.

    472

    He owed his political influence chiefly to his rank, his mild disposition, and his personal integrity, for his talents were in no sense brilliant, and he was deficient in practical energy as well as in intellectual grasp.

    473

    Each of them he thought likely to extend to two large quarto volumes, and on both he expended an unusual amount of enthusiasm and energy.

    474

    Here, for the next thirty-six years, until his death on the 8th of June 1727, he continued to discharge the twofold office of pastor and professor with rare energy and success.

    475

    At an early age he was left a penniless orphan, and his education was acquired in a small country school until he procured, mainly by his own energy, a nomination to the Military Academy.

    476

    In the "Seven Days" Jackson was frequently at fault, but his driving energy bore no small part in securing the defeat of McClellan's advance on Richmond.

    477

    At the head of his troops, who idolized him, he was a Cromwell, adding to the zeal of a fanatic and the energy of the born leader the special military skill and trained soldierly spirit which the English commander had to gain by experience.

    478

    In their great energy and their love of enterprise they resemble the Basques.

    479

    In Gnosticism, on the contrary, the world of evil is full of active energy and hostile powers.

    480

    What drew these two forces together was the energy exerted by the universal idea of salvation in both systems. Christian Gnosticism actually introduced only one new figure into the already existing Gnostic theories, namely that of the historical Saviour Jesus Christ.

    481

    The work was pushed forward with energy, and on the 5th of October 1568 the volume was ready for publication.

    482

    He joined the revolutionary movement with more enthusiasm than energy, and though the emperor Nicholas I.

    483

    He now threw himself with characteristic energy and zeal into the task of examining the numerous MSS.

    484

    Its manifoldness is not then to be taken as excluding its fundamental unity; the divisions which our ordinary perception and thought introduce into it have not absolute validity, but are to be interpreted as the outcome of the single formative energy or complex of forces which is the inner aspect, the soul of nature.

    485

    In point of time and energy military activity was about equally divided between these two fields.

    486

    Bouillier (1813-1899), which makes life, or life and mind, the directive principle in evolution and growth, holding that all cannot be traced back to chemical and mechanical processes, but that there is a directive force which guides energy without altering its amount.

    487

    Any form of electrokinetic voltmeter which involves the passage of a current through the wire necessitates the expenditure of energy to maintain this current and therefore involves cost of production.

    488

    Since there are 8760 hours in a year, if such an instrument were connected continuously to the circuit it would take up energy equal to 263,000 watt-hours, or 260 Board of Trade units per annum, If the cost of production of this energy was only one penny per unit, the working expenses of keeping such a voltmeter in connexion with a circuit would therefore be more than £i per annum, representing a capitalized value of, say, £io.

    489

    During the War of Secession, when each governor was responsible for organizing troops from his state, much turned upon his energy, popularity and loyalty.

    490

    The application of electricity to purposes of manufacture and transportation made the waterfalls and rapids in which the country abounds the source of an almost unlimited supply of energy capable of easy distribution for industrial purposes over wide areas.

    491

    His eloquence was of the vehement order; but it wins hearers and readers by the strength of its passion, the energy of its truth, the pregnancy and elegance of its expression, just as much as it repels them by its heat without light, its sophistical argumentaiions, and its elaborate hair-splittings.

    492

    At Rome in mature manhood Tertullian became a Christian, under what circumstances we do not know, and forthwith he bent himself with all his energy to the study of Scripture and of Christian literature.

    493

    As Whip the Master of Elibank earned high praise for his energy and tact; but he was somewhat unfortunately mixed up with the " Marconi Scandal " in connexion with Mr. Lloyd George and Sir Rufus Isaacs, as having invested part of the Liberal Party funds in American Marconi shares in which he, with them, was speculating - a transaction hotly debated in Parliament in 1913.

    494

    Thus a fall in the gradient at any point in the course of a stream; any snag, projection or dam, impeding the current; the reduced velocity caused by the overflowing of streams in flood and the dissipation of their energy where they enter a lake or the sea, are all contributing causes to alluviation, or the deposition of streamborne sediment.

    495

    While possessing considerable gifts of mind and a latent fund of energy, he seldom acted or reflected until the favourable moment had passed.

    496

    Supported by his friends Lightfoot and Hort, he threw himself into the new work with extraordinary energy.

    497

    The reforms in the regulations for degrees in divinity, the formation and first revision of the new theological tripos, the inauguration of the Cambridge mission to Delhi, the institution of the Church Society (for the discussion of theological and ecclesiastical questions by the younger men), the meetings for the divinity faculty, the organization of the new Divinity School and Library and, later, the institution of the Cambridge Clergy Training School, were all, in a very real degree, the result of Westcott's energy and influence as regius professor.

    498

    Upon one famous occasion in 1892 he succeeded in bringing to a peaceful solution a long and bitter strike which had divided the masters and men in the Durham collieries; and his success was due to the confidence which he inspired by the extraordinary moral energy of his strangely "prophetic" personality, at once thoughtful, vehement and affectionate.

    499

    His energy was remarkable to the very end.

    500

    In the settlement and administration of the conquered territory he rapidly acquired the habits and experience of a statesman, while his military operations against Doondiah, a robber chief, were conducted with extraordinary energy and success, Doondiah being killed and his army scattered.