Callen H.B - Thermodynamics And An Introduction To Thermostatistics · Problem 7.3-1

STABILITY OF THERMODYNAMIC SYSTEMS

Physics — Statistical Mechanics · tds-equations-derivation

Problem

Thermodynamicists sometimes refer to the ``first T dST\,dS equation'' and the ``second T dST\,dS equation''; T dS=Ncv dT+(Tα/κT)dV(N constant)T\,dS = Nc_v\,dT + \left(T\alpha/\kappa_T\right)dV \qquad (N\text{ constant}) T dS=Ncp dT−TVα dP(N constant)T\,dS = Nc_p\,dT - TV\alpha\,dP \qquad (N\text{ constant}) Derive these equations.

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