Use the Maxwell relations to express the derivatives (ðœ•Pâ„ðœ•S)subV and (ðœ•Vâ„ðœ•S)subP in terms of the heat capacities, the thermal coefficient and the isothermal compressibility.
Answer The first law dU= T dS- pdV+µdN yields T = (dU/d S) V,NP= -(dU/dV) S,Nµ =(dU/dN) S,Vfrom the definition of heat capacity it follows that :Cv = (dQ/dT) V,N = (dU/dT)V,NSince, U may be…