An ideal gas is taken from point $A$ to point $C$ on $P-V$ diagram through two process $AOC$ and $ABC$ as shown in the figure. Process $AOC$ is isothermal
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Being a state-function, change in in internal energy$(\Delta U)$ is the same for the two processes AOC and $ABC,$ i.e. $\Delta U_{A O C}=\Delta U_{A B C}$
Work done $=W=$ area under $P-V$ diagram Hence $W_{A O C}>W_{A B C}$
$\Rightarrow \Delta U_{A O C}+W_{A O C}>\Delta U_{A B C}+W_{A B C}$
$\Rightarrow \Delta Q_{A O C}>\Delta Q_{A B C}$
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