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Understanding college physics-didn't you say Q=W+E? Why is there only one formula Q=E=vCT when gas is doing work?
In solution, Cp refers to the molar heat capacity under constant pressure, and refers to the heat changed by changing the unit temperature under the condition of constant gas pressure. Cp=Cv (constant volume molar heat capacity) +R (universal gas constant). The internal energy changes U=nCvT, and the work is W=pV=nRT. Add up to Q=U+W=n(Cv+R)T=nCpT.