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(C) In the given $P-V$ diagram:$1$. $AB$ is an isothermal process $(T = 	ext{constant})$. Since $V$ increases from $A$ to $B$, $P$ must decrease $(P

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(C) In the given $P-V$ diagram:$1$. $AB$ is an isothermal process $(T = 	ext{constant})$. Since $V$ increases from $A$ to $B$, $P$ must decrease $(P \propto 1/V)$.$2$. $BC$ is an isobaric process $(P = 	ext{constant})$. Since $V$ decreases from $B$ to $C$, $T$ must decrease $(V \propto T)$.$3$. $CA$ is an isochoric process $(V = 	ext{constant})$. Since $P$ increases from $C$ to $A$, $T$ must increase $(P \propto T)$.Mapping these to a $P-T$ diagram:- $AB$: $T$ is constant, so the graph is a vertical line. Since $P$ decreases, the direction is downwards.- $BC$: $P$ is constant, so the graph is a horizontal line. Since $T$ decreases, the direction is towards the left.- $CA$: $V$ is constant, so $P \propto T$. The graph is a straight line passing through the origin. Since $T$ increases, the direction is away from the origin.Comparing these characteristics, the correct $P-T$ diagram is represented by option $C$.

The adjoining figure shows the $P-V$ diagram for a fixed mass of an ideal gas undergoing a cyclic process. $AB$ represents an isothermal process and $CA$ represents an isochoric process. Which of the graphs shown in the following figures represents the $P-T$ diagram of the cyclic process?

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