One mole of a monatomic ideal gas is taken through a cycle $ABCDA$ as shown in the $P-V$ diagram. Column $II$ gives the characteristics involved in the cycle. Match them with each of the processes qiven in Column $I$
| Column $I$ | Column $II$ |
| $(A)$ Process $A \rightarrow B$ | $(p)$ Internal energy decreases. |
| $(B)$ Process $B \rightarrow C$ | $(q)$ Internal energy increases. |
| $(C)$ Process $C \rightarrow D$ | $(r)$ Heat is lost. |
| $(D)$ Process $D \rightarrow A$ | $(s)$ Heat is gained. |
| $(t)$ Work is done on the gas. |
IIT 2011, Diffcult
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for $(A): A B$ is Isobaric compression
W is $- Ve ; \Delta U$ is $- Ve ; \Delta Q$ is - Ve
for $(B)$ : $C$ is Isochoric
$W = O ; \Delta U$ is $- Ve ; \Delta Q$ is - Ve
for $(C)$ : $CD$ is Isobaric expansion
$W$ is $+V e ; \Delta U$ is $+V e ; \Delta Q$ is $+V e$
for $(D)$ : $DA$ is Isothermal
W is $- Ve ; \Delta U=0 ; \Delta Q$ is - Ve
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