Assume ideal gas behaviour for all gases and vibrational degrees of freedom to be active. Separate equimolar samples of Ne, , and gases were subjected to a two-step process. Initially all are at the s

Question

Assume ideal gas behaviour for all gases and vibrational degrees of freedom to be active. Separate equimolar samples of Ne, $O_2$, $SO_2$ and $CH_4$ gases were subjected to a two-step process. Initially all are at the same temperature and pressure. Step I: All undergo reversible adiabatic expansion to attain same final volume (double the original volume), causing decrease in temperature. Step II: Heat given isochorically to restore original temperature. Which of the following is/are correct statement(s)?

Prashant Kotian · Accepted Answer

Correct answer: A,C. In Step I: T2/T1 = (V1/V2)^(γ-1) = (0.5)^(γ-1). Since γ is highest for monoatomic Ne (γ=1.67), temperature decrease is maximum for Ne (A correct). Since the overall two-step process returns gas to initial temperature (isothermal net), and internal energy of ideal gas is a function of T only, net Δ U = 0 for all gases (C correct). has more vibrational modes than , so its is larger, making heat required and PV path different (B and D incorrect).

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