Find ratio of compressive coefficient-constant temperature

Question

P = RT/(v+c/T^2)

1) use maxwell relations to prove that the entropy of the system using this substance between states p1 and p2 is given as

s2-s1 = R Ln(p2/p1) - 2v/T (p2-p1)

2) use maxwell relations and prove that the ratio of compressive coefficient at constant temperature to the one at costant entropy is

Cp/Cv = Xt/Xs = γ

Cp -Cv =vT (β^2 /Xt)