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# Use the Maxwell relations to express the derivatives (PS)subV and (VS)subP in terms of the heat capacities, the thermal coefficient and the...

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...