Heat given to process is positive, match the following option of Column I with the corresponding option of Column II : [2006]

Question

Heat given to process is positive, match the following option of Column I with the corresponding option of Column II : [2006]

Smart Achievers · Accepted Answer

(2)

From the given $P - V$ graph, in process $J \to K$ volume,

$V =$ constant $p$ is decreasing and $P \propto T$

Therefore, $T$ should also decrease.

$∴$ $W = P d V = 0, Δ V = Δ Q < 0 (negative)$

From $Δ Q = Δ U + Δ W$

In process $K \to L$ $P$ = constant $= n C_{p} Δ T$ $V$ is increasing so temperature should also increase.

$∴$ $Δ W = P d V > 0, Δ U = n C_{v} Δ T > 0$ and $Q = m C Δ T > 0$

In process $L \to M$ $V$ = constant $P$ increases to $T$ increases.

$∴$ $W = 0, Δ U > 0$ and $Q > 0$

In process $M \to J$

$V$ is decreasing $∴$ $Δ W < 0$

$T$ is also decreasing $∴$ $Δ U < 0$ and $Δ Q < 0$

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