An ideal gas undergoes four different thermodynamic processes from A to B represented by four different paths I, II, III and IV as depicted in the adjoining P - V diagram. Comment on the change in internal energy of the gas.

Options

A. same in I and n but not in III and IV
B. same in III and IV but not in I and II
C. same in I, II and III but not in IV
D. same in all the four cases.

Answer

D

Explanation

Internal energy of a system is path independent, it depends only on the final and initial points.lt is evident from the figure that all the four paths have same final and initial points.
Change in internal energy is same for all the four paths.