Derivation of cp-cv=R

1.	Derivation of cp-cv=R
Answer» \tConsider one mole of an ideal gas enclosed in a cylinder fitted with the movable frictionless piston.Let the gas be heated at constant volume. On supplying dQ amount of heat, let the temperature\xa0of the gas increase by dT.\xa0\xa0 By first law of thermodynamics,\xa0 dQ = dU + dW = dU + PdV\xa0 CpdT = Cv\xa0x dT + RdT\xa0 At a constant pressure,\xa0 P.dV = R.dT\xa0\xa0 where Cp,\xa0Cv\xa0and R are in same units.\xa0 Hence, proved.\xa0\t\xa0

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