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Prove the 2 questions step by step please In general for an arbitrary thermodynamic property of a pure substance, M=M(T,P); whence dM=(TM)PdT+(PM)TdP Prove that dS=TCV(PT)VdP+TCP(VT)PdV

Prove the 2 questions step by step please

In general for an arbitrary thermodynamic property of a pure substance, M=M(T,P); whence dM=(TM)PdT+(PM)TdP Prove that dS=TCV(PT)VdP+TCP(VT)PdV

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