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Q.

One mole of an ideal gas at pressure $P_{0}$ and temperature $T_{0}$ volume $V_{0}$ is expanded isothermally to twice its volume and then compressed at constant pressure to $(\frac{V_{0}}{2})$ and the gas is brought to original state by a process in which $P \propto V$ (Pressure is directly proportional to volume). The correct representation of process is :

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a

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b

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c

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d

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answer is C.

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Detailed Solution

$V_{f} = 2 V_{0}$

$\begin{aligned} V_{f} = V_{0} / 2, T_{f} = \frac{V_{0}}{2 \times 2 V_{0}} T_{0} . \\ = \frac{T_{0}}{4} \end{aligned}$

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One mole of an ideal gas at pressure P0 and temperature T0volume V0is expanded isothermally to twice its volume and then compressed at constant pressure to V02 and the gas is brought to original state by a process in which P∝V (Pressure is directly proportional to volume). The correct representation of process is :