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(C) For the free expansion of an ideal gas into a vacuum,the external pressure $P_{ext} = 0$. According to the first law of thermodynamics,$q = 0$ (ad

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Enthalpy remains unaffected.

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(C) For the free expansion of an ideal gas into a vacuum,the external pressure $P_{ext} = 0$. According to the first law of thermodynamics,$q = 0$ (adiabatic) and $w = -P_{ext} \Delta V = 0$. Therefore,the change in internal energy $\Delta U = q + w = 0$. Since the internal energy of an ideal gas depends only on temperature,$\Delta U = 0$ implies $\Delta T = 0$. Enthalpy is defined as $H = U + PV$. For an ideal gas,$H = U + nRT$. Since $\Delta U = 0$ and $\Delta T = 0$,the change in enthalpy $\Delta H = \Delta U + nR\Delta T = 0 + 0 = 0$. Thus,the enthalpy remains unaffected.

During the free expansion of an ideal gas,its.......

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