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(B) For an ideal gas, the equation of state is $PV = nRT$. Given the process equation $PV^2 = K$ (where $K$ is a constant).Substituting $P = \frac{nRT

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Cooled

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(B) For an ideal gas, the equation of state is $PV = nRT$. Given the process equation $PV^2 = K$ (where $K$ is a constant).Substituting $P = \frac{nRT}{V}$ into the process equation, we get $(\frac{nRT}{V})V^2 = K$, which simplifies to $TV = \frac{K}{nR} = 	ext{constant}$.Since $T \propto \frac{1}{V}$, as the gas expands, the volume $V$ increases.Because $V$ increases, the temperature $T$ must decrease.Therefore, the gas is cooled during the expansion.

An ideal gas expands in such a manner that its pressure and volume are related by the equation $PV^2 = \text{constant}$. During this process, the gas is

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