question_answer

A system goes from A to B via two processes 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     AIEEE  Solved  Paper-2005

A) \[\Delta {{U}_{1}}=\Delta {{U}_{2}}\]

B) relation between\[\Delta {{U}_{1}}\]and\[\Delta {{U}_{2}}\]cannot be determined

C) \[\Delta {{U}_{2}}>\Delta {{U}_{1}}\]

D) \[\Delta {{U}_{2}}<\Delta {{U}_{1}}\]

Correct Answer: A

Solution :

The change in internal energy does not depend upon path followed by the process. It only depends on initial and final states. Hence,