In the figure given two processes $A$ and $B$ are shown by which a thermo-dynamical system goes from initial to final state $F.$ If $\Delta {Q_A}$ and $\Delta {Q_B}$ are respectively the heats supplied to the systems then
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(d) $\Delta Q = \Delta U + \Delta W;$ $\Delta U$ does not depend upon path.
$\because \Delta {W_A} > \Delta {W_B}$ ==> $\Delta {Q_A} > \Delta {Q_B}$
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