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Assume ideal gas behaviour for all the gases considered and vibrational degrees of freedom to be active. Separate equimolar samples of $Ne, O_{2}, {SO}_{2}$ and ${CH}_{4}$ were subjected to a two step process as mentioned. Initially all are at same state of temperature and pressure.
Step-I: All undergo reversible adiabatic expansion to attain same final volume, which is double the original volume thereby causing the decreases in their temperature.
Step-II; After step I, all are given appropriate amount of heat isochorically to restore the original temperature.
Mark the correct option(s).

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Due to step I only, the decrease in temperature will be maximum for Ne.

The P-V graph of ${CH}_{4}$ and ${SO}_{2}$ will be same for overall process.

There will be no net change in internal energy for any of the gas after both the steps of process are completed.

During step II, heat given will be minimum for ${CH}_{4}$ .

answer is A, C.

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Detailed Solution

As, all undergo reversible adiabatic expansion to attain same final volume, which is double the original volume thereby causing the decreases in their temperature. The decrease in temperature will be maximum for Ne.

There will be no net change in internal energy for any of the gas after both the steps of process are completed.

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