Physics > Thermodynamics And Kinetic Theory > Thermodynamics

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 $U_a = 10\ \text{J}$. Along the path $adc$ the amount of heat absorbed $dQ_1 = 50\ \text{J}$ and the work obtained $dW_1 = 20\ \text{J}$, whereas along the path $abc$ the heat absorbed $dQ_2 = 36\ \text{J}$. The amount of work along the path $abc$ is: