I want to see the steps for 3a and b.

3. For a mole of a perfect Inonoatornic gas, the internal energy, U, can be expressed as a function of the pressure and volume as U = U(P,V) = EPV a) Calculate explicitly the line integral of {10' along the closed path ABCD shown as a black trace in the P V graph below. P 3P1 2P1 P1 0 V1 2V1 3V1 4V1 5V1 3V1 Problem 3a36 1)) Compute the following line integrals between the points B and C in the gure above: 1. fhPer, along the path, It, described by P = 2.1311?1 /(V 3V1). shown in red in the gure above. 2. f, PdV, along the path, .5, shown in black in the gure above. Use these results to demonstrate that 6W = PdV is not an exact differential