An ideal gas in a thermally insulated vessel | vedclass

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(D) The process is an irreversible adiabatic expansion against an external pressure (due to the mass $m$).Since the vessel is thermally insulated,the

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None of these

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(D) The process is an irreversible adiabatic expansion against an external pressure (due to the mass $m$).Since the vessel is thermally insulated,the heat exchange $q = 0$.For an adiabatic process,the first law of thermodynamics states $\Delta U = q + w$. Since $q = 0$,$\Delta U = w$.In an expansion,the gas does work on the surroundings,so $w Since $\Delta U = n C_{vm} \Delta T$,a decrease in internal energy results in a decrease in temperature,so $T_2 Therefore,none of the given options ($q > 0$,$T_1 V_1^{\gamma - 1} = T_2 V_2^{\gamma - 1}$,$T_1 = T_2$) are correct.

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