A shown in the figure, the amount of heat absorbed along the path $ABC$ is $90\,J$ and the amount of work done by the system is $30\,J$ . If the amount of work done along the path $ADC$ is $20\,J$ , the amount of heat absorbed will be .... $J$
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$\Delta \mathrm{U}_{\mathrm{ABC}}=\Delta \mathrm{U}_{\mathrm{ADC}}$
$\Rightarrow \Delta \mathrm{Q}_{\mathrm{ABC}}-\mathrm{W}_{\mathrm{ABC}}=\Delta \mathrm{Q}_{\mathrm{ADC}}-\mathrm{W}_{\mathrm{ADC}}$
$\Rightarrow 90-30=\Delta Q_{A D C}-20$
$\Rightarrow \Delta \mathrm{Q}_{\mathrm{ADC}}=80 \mathrm{J}$
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