Question
A system goes from $$A$$ to $$B$$ via two processes I and II as shown in figure. If $$\Delta {U_1}$$ and $$\Delta {U_2}$$ are the changes in internal energies in the processes I and II respectively, then
A.
relation between $$\Delta {U_1}$$ and $$\Delta {U_2}$$ can not be determined
B.
$$\Delta {U_1} = \Delta {U_2}$$
C.
$$\Delta {U_2} < \Delta {U_1}$$
D.
$$\Delta {U_2} > \Delta {U_1}$$
Answer :
$$\Delta {U_1} = \Delta {U_2}$$
Solution :
Change in internal energy do not depend upon the path followed by the process. It only depends on initial and final states i.e.,
$$\Delta {U_1} = \Delta {U_2}$$