Two different ideal diatomic gases A and B are initially in the same state. A and B are then expanded to same final volume through adiabatic and isothermal process respectively. If P_A, PB and TA, TB represents the final pressure and temperatures of A and B respectively then : 

P_A < P_B and T_A < T_B

For adiabatic process : \(PV_1^{\gamma} = P_AV_2^{\gamma}\)

\(P_A = P(\frac{V_1}{V_2})^{\gamma}\) ... (i)

For isothermal process : \(PV_1 = P_B V_2\)

\(P_B = P\frac{V_1}{V_2}\) ... (ii)

From eq. (i) and (ii) : \(P_A < P_B\) and PV = nRT

\(T_A < T_B\)