The PV diagram shows four different possible | vedclass

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(C) For an ideal gas,the temperature $T$ is proportional to the product $PV$ (from $PV = nRT$).$1$. Process $A$ (isobaric expansion): $P$ is constant

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Only Processes $C$ and $D$

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(C) For an ideal gas,the temperature $T$ is proportional to the product $PV$ (from $PV = nRT$).$1$. Process $A$ (isobaric expansion): $P$ is constant and $V$ increases,so $PV$ increases,meaning temperature $T$ increases.$2$. Process $B$ (isothermal expansion): $T$ remains constant by definition.$3$. Process $C$ (adiabatic expansion): Both $P$ and $V$ change such that $PV^{\gamma}$ is constant. Since $V$ increases,$P$ must decrease significantly. For an adiabatic expansion,$T$ decreases.$4$. Process $D$ (isochoric compression): $V$ is constant and $P$ decreases,so $PV$ decreases,meaning temperature $T$ decreases.Thus,the temperature decreases in both processes $C$ and $D$. Therefore,option $C$ is the correct answer.

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