When a system is taken from state $i$ to a state $f$ along path $iaf, \,Q = 50\,J$ and $W = 20J.$ Along path $ibf, \,Q = 35J.$ If $W = - 13J$ for the curved return path $f i, Q$ for this path is ...... $J$
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(d) $\Delta U$, remains same for both path

For path $iaf : \Delta U = \Delta Q - \Delta W = 50 - 20 = 30J$. 

For path $fi  :  \Delta U = - \,30\,J\,{\rm{and\, }}\Delta W = - 13J$ 

==> $\Delta Q = - \,30 - 13 = - \,43\;J$.

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