Prove that the following statements are true (30 p.)

a) The dependence of enthalpy on temperature and pressure, i.e. H = H(T, P). Write the total differential of H with using chain rule and using obtained equation prove that (H/V)T equal to zero if (H/P)T is equal to zero.

b) The derivative (S/V)P for a fluid has the same sign as its coefficient of thermal expansion and is inversley proportional to it.