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 PA, PB and TA, TB represents the final pressure and temperatures of A and B respectively then :
Answer & explanation
Correct answer: option 1
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
\(T_A < T_B\)