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Prove that Cp - Cv = …

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Prove that Cp - Cv = R.

Posted by Gaurav Nagyan 6 years, 11 months ago

CBSE > Class 11 > Physics

1 answers

Ankit Singh 6 years, 11 months ago

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 constant Change in V will make change in T PΔV = R ΔT Cv ΔT = CpΔT - RΔT Divided by ΔT Cv = Cp - R Cp - Cv = R

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