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Consider an ideal monatomic gas og N indistinguishable particles, mass m each and total energy U,...

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Chemistry

Consider an ideal monatomic gas og N indistinguishableparticles, mass m each and total energy U, confined to a onedimnensional channel of length L.

Calculate the multiplicity of the 1-D gas and its entropy,following the line of reasoning used in deriving these quantites inthe 3-D case.

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4.2 Ratings (736 Votes)
Entropy S of a Monoatomic ideal gas equation called the SackurTetrode equation N number of atoms k Boltzmanns constant 13806 X 1023 JK V volume U internal energy h Plancks constant 6626 X 1034 Jsec One of the things which can be determined directly from this equation is the change in entropy during an isothermal expansion where N and U are constant implying QW Expanding the entropy expression for Vf and Vi with log combination rules leads to For determining other functions it is useful to expand the entropy expression to separate the U and V dependence Then making use of the definition of temperature in terms of entropy This gives an expression for internal energy that is consistent with equipartition of energy with kT2 of energy for each degree of freedom for each atom For processes with an ideal gas the change in entropy can be calculated from the relationship Making use of the first law of thermodynamics and    See Answer
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