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When the number of particles changes in a thermodynanmic trạnsformation, it is important to use the correct form of entropy for an ideal gas, as given by the Sacker-Tetrode equation S= Nk wheren = N/V. (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(nx³) – 11, where n is the density, and A = /2xh*/mkT is the themal wavelength. (b) Obtain the chemical potential for an ideal gas from (aA/ƏN)v.r and (aG/ƏN)P,r. Show that you get the same answer

When the number of particles changes in a thermodynanmic trạnsformation, it is important to use the correct form of entropy for an ideal gas, as given by the Sacker-Tetrode equation S= Nk wheren = N/V. (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(nx³) – 11, where n is the density, and A = /2xh*/mkT is the themal wavelength. (b) Obtain the chemical potential for an ideal gas from (aA/ƏN)v.r and (aG/ƏN)P,r. Show that you get the same answer

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When the number of particles changes in a thermodynanmic trạnsformation, it is important to use the correct form of entropy for an ideal gas, as given by the Sacker-Tetrode equation S= Nk wheren = N/V. (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(nx³) – 11, where n is the density, and A = /2xh*/mkT is the themal wavelength. (b) Obtain the chemical potential for an ideal gas from (aA/ƏN)v.r and (aG/ƏN)P,r. Show that you get the same answer
Transcribed Image Text:When the number of particles changes in a thermodynanmic trạnsformation, it is important to use the correct form of entropy for an ideal gas, as given by the Sacker-Tetrode equation S= Nk wheren = N/V. (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(nx³) – 11, where n is the density, and A = /2xh*/mkT is the themal wavelength. (b) Obtain the chemical potential for an ideal gas from (aA/ƏN)v.r and (aG/ƏN)P,r. Show that you get the same answer
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