An ideal gas undergoes a quasi-static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure P and volume V is given by P V n = consta

Question

An ideal gas undergoes a quasi-static, reversible process in which its molar heat capacity C remains constant. If during this process the relation of pressure P and volume V is given by P V n = constant, then n is given by (Here C P and C V are molar specific heat at constant pressure and constant volume, respectively) :

TestHub · Accepted Answer

P V n = k C = C v + R 1 - n ; C - C v = R 1 - n 1 - n = R C - C v ; n = 1 - R C - C v n = C - C v - R C - C v ; n = C - C v - C p - C v C - C v n = C - C v - C p + C v C - C v ; n = C - C p C - C v

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