HW 6 Prob. 1 (a) Use the transformation equations for U, H, F, and G discussed in class H = U + pV, F = U - ST, G = F + pV to verify dU = TdS - pdV, dH = TdS + Vdp. dF = -SdT-pdV, dG =-SdT + VdP (b) Express p, V, T, S in terms of the partial derivatives of thermodynamic energy functions while keeping the appropriate variables constant. One example is T = (25 ) and P - - (ay). There are three more pairs. (c) Use the second derivative relation (axay) = (ayar) and appropriate thermodynamic energy functions to show (aV)= (5)' (V)=(or)V . (OF)s= (25) , and (OF)7(7), Although we will not be using these Maxwell's relations much, if at all, they are useful in the more advanced topics. HW 6 Prob. 2. The Gibbs free energy of a certain system is given by the formula: G = -NKTIn(23) where a is a constant. Calculate (a) the entropy, (b) the heat capacity at constant P, i.c. Co, (c) the equation of state, that is, the relational expression for P, V, and T, and (d) the energy. Guide: Use the differential form of G from Prob. 1 and given in class and take appropriate partial derivatives. e here to search 68'F Sunny msi SONY