One mole of an ideal gas expands adiabatically from an initial state \(\left(T_A, V_0\right)\) to final state \(\left(T_f, 5 V_0\right)\). Another mole of the same gas expands isothermally from a different initial state \(\left(T_B, V_0\right)\) to the same final state \(\left(T_f, 5 V_0\right)\). The ratio of the specific heats at constant pressure and constant volume of this ideal gas is \(\gamma\). What is the ratio \(T_A / T_B\) ?

[JEE Advanced 2023]

Question

One mole of an ideal gas expands adiabatically from an initial state \(\left(T_A, V_0\right)\) to final state \(\left(T_f, 5 V_0\right)\). Another mole of the same gas expands isothermally from a different initial state \(\left(T_B, V_0\right)\) to the same final state \(\left(T_f, 5 V_0\right)\). The ratio of the specific heats at constant pressure and constant volume of this ideal gas is \(\gamma\). What is the ratio \(T_A / T_B\) ?

[JEE Advanced 2023]

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One mole of an ideal gas expands adiabatically from an initial state \(\left(T_A, V_0\right)\) to final state \(\left(T_…

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