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Chem 3301 exam

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1 1. (55 points) Thermodynamic Relationships - ?Maxwell?s Relations? Using the first and second laws, or any other way you choose. For FULL Credit YOU MUST JUSTIFY each step a) (20 pts) Show that the fundamental equation for dH is given by dH = TdS + Vdp b) (5 pts) Treat H as a function of p and S. Write out its total derivative, dH, in terms of dp, dS and partial derivatives of H. 2 c) (5pts) Show that Vp H S ???? ? ??? ? ? ? and that TS H p ?? ? ?? ? ? ? ? d) (10 pts) Show that Sp p T S V ??? ? ??? ? ? ??? ? ?? ? ? ? ? 3 e) (5 pts) Show that T Cp T S p ?? ? ?? ? ? ? ? 4 f) (10 pts) Show that ??? ? ??? ? ???? ? ??? ? ? ????? ? ??? ? ? ? Vp H Tp S TT 1 5 2. (45 points) The phase diagram of H2O.

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