A system is taken from state $a$ to state $c$ by two paths $adc$ and $abc$ as shown in the figure. The internal energy at $a$ is $U_a=10 \, J . $ Along the path $adc$ the amount of heat heat absorbed $\delta Q_1=50\, J $ and the work obtained $\delta W_1=20 \, J $ whereas along the path $abc$ the heat absorbed $\delta Q_2=36 \, J . $ The amount of work along the path $abc$ is :