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4.) This question is from "Introductory Chemical Engineering Thermodynamics" by Elliot and Lira: Express (?H/?V)_T,N in terms of "coefficient of thermal expansion, isothermal compressibility and constant-pressure heat capacity." (?H/?V)_T,N [(partial derivative of enthalpy/partial derivative of volume) with constant temperature and mole number]. I assume you use maxwell relations and probably jacobian manipulations. However, I don't know how to rearrange the expression so only S(entropy), T(temperature), V(volume), and P(pressure) are involved, which is a requirement for jacobian manipulation.
5.) This question is from "Chemical, Biological, and Materials Engrineering Thermodynamics" by Jaun de Pablo: Show that the following fundamental enthalpy relation is for a simple ideal gas H=AN(P^? )exp(S? /NR). It further states that I should observe similarities between that equation and this equation
S=Ns_0 + NR*log{((U/Nu_0)^c)*(V/Nv_0)}.
The entropy equation is for an ideal gas. I see that one equation has a log and one has an exponential function, but that is about it. I really have no idea at all about this one.
6.) This question I guess the professor just made up: Verify that the maxwell relation (?P/?T)_V,N = (?S/?V)_T,N holds for an ideal gas. He further stated that I should use this equation
S=Ns_0 + NR*log{((T/T_0)^(c+1))*(P_0/P)}
Comments: I have no idea about these three questions. If you have any questions feel free to e-mail me at droehrich@wisc.edu or post any suggestions. I am really stuck on these questions, so anything at all will help.
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