What is the relation between the internal energy and heat supplied in the process 1 and 2 shown in t

Question

What is the relation between the internal energy and heat supplied in the process 1 and 2 shown in the diagram? Both paths start at A and end at B .

Professor PC Thomas Classes · Answer

Internal energy $U$ is a state function ($U_1=U_2$). Path 1 has greater area under the $P-V$ curve, so work $W_1 > W_2$, meaning heat $Q_1 > Q_2$.