## Statistical Physics, Volume 5Elementary college physics course for students majoring in science and engineering. |

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Page 64

2.2 Elementary

deriving these

2.2 Elementary

**Relations**among Probabilities Probabilities satisfy some simple**relations**which are almost selfevident, but quite important. It will be worthderiving these

**relations**by starting directly from the definition (1) of a probability.Page 184

(b) Use (i) to calculate the mean energy E of the gas by means of the general

immediately that E must be simply N times as large as the mean energy per

molecule.

(b) Use (i) to calculate the mean energy E of the gas by means of the general

**relation**derived in Prob. 4.18. Show that the functional form of (i) impliesimmediately that E must be simply N times as large as the mean energy per

molecule.

Page 270

Note that this

system if its entropy is known as a function of its volume. We derived the

13) by considering how the energy levels of the system move in or out of a given

...

Note that this

**relation**allows us to calculate the mean pressure exerted by asystem if its entropy is known as a function of its volume. We derived the

**relation**(13) by considering how the energy levels of the system move in or out of a given

...

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### Contents

Characteristic Features of Macroscopic Systems | 1 |

A I | 2 |

I | 6 |

Copyright | |

26 other sections not shown

### Common terms and phrases

absolute temperature absorbed accessible approximation assume atoms average Avogadro's calculate classical collision Consider constant container corresponding cules denote discussion distribution ensemble entropy equal equilibrium situation equipartition theorem example exchange energy expression external parameters fluctuations function given heat capacity heat Q heat reservoir Hence ideal gas initial internal energy interval isolated system kinetic energy large number left half liquid ln Q macroscopic parameters macroscopic system macrostate magnetic field magnetic moment magnitude mass mean energy mean number mean pressure mean value measured mechanics mole molecular momentum number of molecules occur oscillator particle particular partition phase space piston position possible values Prob quantity quantum numbers quasi-static random relation result simply solid specific heat spin system statistical statistical ensemble statistically independent Suppose thermal contact thermal interaction thermally insulated thermometer tion total energy total magnetic total number unit volume velocity