For the P-V diagram of a thermodynamic cycle | vedclass

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(B) In the given $P-V$ diagram:$1$. Process $A \longrightarrow B$: The pressure $P$ is constant while the volume $V$ increases. This is an isobaric ex

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(B) In the given $P-V$ diagram:$1$. Process $A \longrightarrow B$: The pressure $P$ is constant while the volume $V$ increases. This is an isobaric expansion.$2$. Process $B \longrightarrow C$: This is an isothermal process ($T$ is constant). For an ideal gas,$PV = nRT$,so $P \propto 1/V$. The curve is a rectangular hyperbola.$3$. Process $C \longrightarrow D$: The volume $V$ is constant while the pressure $P$ decreases. This is an isochoric cooling process.$4$. Process $D \longrightarrow A$: This is an isothermal process ($T$ is constant). Similar to $B \longrightarrow C$,$P \propto 1/V$.Now,let's analyze the $P-T$ graph:- For an isobaric process $(A \longrightarrow B)$,$V \propto T$. Since $V$ increases,$T$ must increase at constant $P$.- For an isothermal process $(B \longrightarrow C)$,$T$ is constant,so the graph is a vertical line segment.- For an isochoric process $(C \longrightarrow D)$,$P \propto T$. This is a straight line passing through the origin $(0,0)$.- For an isothermal process $(D \longrightarrow A)$,$T$ is constant,so the graph is a vertical line segment.Comparing these with the given options,the correct $P-T$ graph is represented by option $B$.

For the $P-V$ diagram of a thermodynamic cycle as shown in the figure,processes $BC$ and $DA$ are isothermal. Which of the corresponding graphs is correct?

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