The Kinetic Theory of Gases: Elementary Treatise with Mathematical Appendices

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Longmans, Green, 1899 - 472 páginas

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Contenido

INCREASE OF PRESSURE BY HEAT
17
MEAN VALUE AND COMPONENTS OF THE ENERGY
18
CALCULATION OF THE PRESSURE
19
ANOTHER CALCULATION OF THE PRESSURE
21
ABSOLUTE VALUE OF THE MOLECULAR SPEED
23
TEMPERATURE
26
ABSOLUTE ZERO OF TEMPERATURE
28
PRESSURE AND ENERGY
30
DALTONs LAW FOR THE PRESSURE OF MIXED GASES
31
HEATING BY COMPRESSION
33
COOLING BY EXPANSION
36
VAPORISATION
37
ABSORPTION AND ADSORPTION
39
MAXWELLS LAW SECTION PAGE 41 42 22 UNEQUAL DISTRIBUTION OF MOLECULAR SPEED
41
THE APPLICABILITY OF THE CALCULUS OF PROBABILITY TO THE KINETIC THEORY
42
MAXWELLS
45
PROOF OF MAXWELLS
47
FULLER EXPLANATION OF MAXWELLS
49
MEAN VALUE OF THE SPEED
54
VALUES OF THE SPEEDS
56
EQUALITY OF TEMPERATURE OF DIFFERENT GASES
59
GAYLUSSACs LAW OF GASEOUS DENSITIES
62
AVOGADROS
64
COEFFICIENT OF EXPANSION
65
MAXWELLs LAW FOR A GAS IN MOTION
66
PRESSURE OF A GAS IN MOTION RESISTANCE
67
CHAPTER VII
69
REACTION
72
CROSSPRESSURE
73
PROPAGATION OF SOUND
74
EFFUSION OF GASES
77
THERMAL EFFUSION
89
HEAT EFFECTS ACCOMPANYING EFFUSION 44 45 19 53 56 59 62 63 65 66 67 69 73 87
90
CHAPTER IV
92
INEXACTNESS OF THE THEORETICAL LAWS 41 VAPOURS 42 SATURATED VAPOURS ABSOLUTE BOILINGPOINT
96
RANKINES AND RECKNAGELS MODIFICATION OF BOYLES
99
HIRNS AND VAN DER WAALSS CORRECTION OF BOYLES
100
COMPARISON WITH REGNAULTS OBSERVATIONS
103
PRESSURE AND VOLUMECOEFFICIENTS
104
COMPLETIONS OF VAN DER WAALSs FORMULA
107
THE COHESION OF GASES
109
PLAYFAIR WANKLYNS EXPLANATION ANOMALIES
111
HORSTMANNS EXPLANATION
113
CLAIMS OF THE Two EXPLANATIONS
114
MOLECULAR AND ATOMIC ENERGY
115
POLYATOMIC MOLECULES
121
103
125
APPROXIMATE CALCULATION OF THE ATOMIC ENERGY
127
DEPENDENCE OF THE SPECIFIC HEAT ON THE NUMBER
137
PART II
147
PROBABILITY OF MOLECULAR COLLISIONS
153
PROBABILITY OF PARTICULAR FREE PATHS
159
ON THE ABSOLUTE VALUE OF THE FREE PATH
169
VISCOSITY OF GASES SECTION PAGK 73 ON THE CHARACTER OF INTERNAL AND EXTERNAL FRICTION
171
NEWTONs FUNDAMENTAL LAW OF INTERNAL FRICTION
172
FORMULA FOR THE COEFFICIENT OF VISCOSITY OF A GAS
174
THEORETICAL LAWS OF GASEOUS FRICTION
178
OBSERVATIONS ON THE FRICTION OF GASES AT DIFFERENT PRESSURES
181
NUMERICAL VALUES OF THE FREE PATH AND COLLISION FREQUENCY OF PARTICLES OF AIR
188
FREE PATH AND COLLISIONFREQUENCY OF THE PARTICLES OF DIFFERENT GASES
191
VISCOSITY OF GASEOUS MIXTURES
200
FRICTION OF GASES ON FIXED BODIES
205
THEORY OF EXTERNAL FRICTION
207
COMPARISON OF THE THEORY WITH EXPERIMENT
210
PHENOMENA IN VERY RAREFIED GASES
212
INFLUENCE OF THE TEMPERATURE ON THE VISCOSITY
215
VISCOSITY OF VAPOURS
221
DEPENDENCE ON THE TEMPERATURE
223
DISSOCIATION
228
ALTERATION OF VISCOSITY BY DISSOCIATION
230
COMPARISON OF THE THEORY WITH THE BEHAVIOUR OF CARBONIC ACID
233
ANOTHER THEORY OF DIFFUSION
262
OBSERVATIONS IN TEST OF THE THEORIES
264
DEPENDENCE ON PRESSURE AND TEMPERATURE
268
CALCULATION OF THE COEFFICIENT OF DIFFUSION FROM THE COEFFICIENT OF VISCOSITY
273
SERTION
277
104
279
THEORETICAL LAWS OF THE CONDUCTION OF HEAT
287
107
288
108
291
CHAPTER X
299
111
302
113
309
MOLECULAR VOLUMES
311
114
315
POSSIBILITY OF DETERMINING THE SIZE OF GASEOUS MOLE
317
CALCULATION OF THE SIZE OF MOLECULES FROM THE
323
SECTION AND VOLUME OF MOLECULES
332
MOLECULAR FORCES
347
APPENDIX I
355
SUMMATION
356
REACTION
358
MOMENTUM CARRIED OVER
359
6 COMPONENTS OF PRESSURE
361
INTERPRETATION OF THE FORMULA
362
8 KINETIC PRESSURE OF LIQUEFIED SUBSTANCES
365
APPENDIX II
368
10 HYPOTHESES USED IN THE PROOF
370
MECHANICAL CONDITIONS
373
12 DETERMINING EQUATIONS 874
374
13 ANOTHER METHOD
377
14 INTEGRATION OF THE EQUATIONS 878
378
15 DETERMINATION OF THE CONSTANTS
380
16 LAW OF THE DISTRIBUTION OF SPEEDS
381
17 GAS IN ROTATION
382
18 TRANSFORMATION OF COORDINATES
386
19 JEAN VALUES OF THE SPEED AND ENERGY
388
MIXED GASES 890
390
21 POLYATOMIC MOLECULES
393
23 ROTATIONS OF THE MOLECULES
400
24 MOLECULAR AND ATOMIC ENERGY
404
25 MOLECULAR AND ATOMIC MOTION IN MIXED GASES
405
SECTION PAGE 26 PROBABILITY OF A MOLECULAR FREE PATH OF GIVEN MAGNI TUDE
407
27 PROBABILITY OF AN ENCOUNTER
409
28 NUMBER OF ENCOUNTERS
410
MEAN COLLISIONFREQUENCY ACCORDING TO MAXWELLS LAW
413
30 COLLISIONFREQUENCY IN MIXED GASES
415
31 NUMBER OF MOLECULAR COLLISIONS IN A CURRENT OF GAS
418
COLLISIONFREQUENCY OF A PARTICULAR MOLECULE
420
33 MOLECULAR FREE PATH
422
34 CORRECTION OF THE FORMULA BY ALLOWING FOR THE DIMEN SIONS OF THE MOLECULES
423
35 INFLUENCE OF COHESION ON THE FREE PATH
425
36 FREE PATH IN MIXED GASES
427
37 FREE PATH OF A PARTICLE WITH A GIVEN SPEED
428
DIFFERENT MEAN VALUES OF THE FREE PATH
429
39 INTERVAL BETWEEN Two COLLISIONS
432
40 CALCULATION OF THE PRESSURE
433
41 NUMBER AND MEAN COLLISIONIMPULSE OF THE COLLIDING PARTICLES
436
PRESSURE OF AIR IN MOTION
437
APPENDIX IV
439
CALCULATION OF VISCOSITY ON THE ASSUMPTION OF MAX WELLs LAW OF DISTRIBUTION OF SPEEDS
444
47 CALCULATION FROM MAXWELLS GENERAL LAW
446
48 INVESTIGATION AND DEVELOPMENT OF THE FORMULA FOR THE COEFFICIENT OF VISCOSITY
448
FRICTION ACCOMPANYING CHANGE OF DENSITY
452
50 EXTERNAL FRICTION
454
SECTION PAGE
456
56 CONDITIONS FOR THE STATIONARY STATE
463
CONTENTS
4
HYDROSTATICS
12
MANUFACTURES
18
METALLURGY
31

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