Please provide very thorough answers for these thermodynamic problems. Using Daniel V Schroeder's book, only if possible! I will leave great reviews, as your help is sincerely appreciated this weekend before midterms. Thank you!!

5. Thermodynamic Identities A paramagnetic system in a uniform magnetic field H is thermally insulated from its surroundings. It has an induced magnetization M=aH/T and a heat capacity CH=b/T2 at constant H, where a and b are constants and T is the temperature. a. What is the thermodynamic identity for this system? Use this to relate partial derivatives of T and H. b. How will the temperature of the system change when H is quasi-statically reduced to zero? Express T as a function of a,b,H, and the initial temperature T0. c. How strong must the field H be for the final temperature to be half the initial