Prove that Cp - Cv = R. – InterviewSolution

1.	Prove that Cp - Cv = R.
Answer» Derivation:ΔU = ΔQ + ΔW ΔU = Cv ΔT (At pressure is constant)ΔQ = Cp ΔT (At pressure is constant)ΔW = -P ΔV (Negative since the calculation been complete)Pv = RT (1 mole of gas)Because of pressure is constant, R is also constantChange in V will make change in TPΔV = R ΔTCv ΔT = CpΔT - RΔTDivided by ΔTCv = Cp - RCp - Cv = R

Discussion