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why does the CpdT change like the underlined part in red? dH=dH=(pH)Tdp+Cp(TH)pdT0=(pH)Tdp+CpdT(pH)T=Cp(pT)H=CpCpdp+CpdT=(pT)H

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why does the CpdT change like the underlined part in red?

dH=dH=(pH)Tdp+Cp(TH)pdT0=(pH)Tdp+CpdT(pH)T=Cp(pT)H=CpCpdp+CpdT=(pT)H

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