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 the relation between $\Delta U _{1}$ and $\Delta U _{2}$ is

• A. $\Delta U _{1}=\Delta U _{2}$
• B. $\Delta U _{2}<\Delta U _{1}$
• C. $\Delta U _{2}>\Delta U _{1}$
• D. undetermined

Answer 1

Answer: (A)

Internal energy is a state function, i.e. it depends upon initial and final state.
Hence, it does not depend upon the path chosen.
Since, initial and final states are same, so $\Delta U_{1}=\Delta U_{2}$