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Thermo: Deriving dh=Cp(dT) & du=Cv(dT)

Why does du/dT = Cv, and same for Cp?

Also, i dont understand how Cp/Cv = v, where v is the specific volume. It is derived from:
Cv + R = Cp, how is PV=nRT used to get from Cv + R = Cp to Cp/Cv = v? I know n is replaced by m/M to leave Pv=RT where R would equal R(universal gas const)/M, but how would you use that?

Reply 1

musicmobile

Thank god i took cosmology!

Reply 2

div curl F = 0

From Wikipedia: "Specific heat capacity, also known simply as specific heat, is the measure of the heat energy required to increase the temperature of a unit quantity of a substance by a certain temperature interval":