3.2 When the number of particles changes in a thermodynamic transformation, it is important to use the correct form of entropy for an ideal gas, as given by the Sacker-Tetrode equation (2.49). (a) Use the Sacker-Tetrode equation to calculate A(V, T) and G(P, T) for an ideal gas. Show, in particular, that A(V,T) = NkT[In(nλ³)-1], where it is the density, and λ =√√2h²/mkT is the thermal wavelength. (b) Obtain the chemical potential for an ideal gas from (24/3N)v.r and (AG/AN)P.T. Show that you get the same answer μ=kT ln(nλ³).

3.2 When the number of particles changes in a thermodynamic transformation, it is important to use the correct form of entropy for an ideal gas, as given by the Sacker-Tetrode equation (2.49). (a) Use the Sacker-Tetrode equation to calculate A(V, T) and G(P, T) for an ideal gas. Show, in particular, that A(V,T) = NkT[In(nλ³)-1], where it is the density, and λ =√√2h²/mkT is the thermal wavelength. (b) Obtain the chemical potential for an ideal gas from (24/3N)v.r and (AG/AN)P.T. Show that you get the same answer μ=kT ln(nλ³).

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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