3. For a mole of a perfect monoatomic gas, the internal energy, U, can be expressed as a function of the pressure and volume as U = U(P,V) = PV a) Calculate explicitly the line integral of dU along...

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Extracted text: 3. For a mole of a perfect monoatomic gas, the internal energy, U, can be expressed as a function of the pressure and volume as U = U(P,V) = PV a) Calculate explicitly the line integral of dU along the closed path ABCD shown as a black trace in the P– V graph below. 3P1 2P1 P1 A V V1 2V1 3V1 4V1 5V1 6V1 Problem 3a-3c b) Compute the following line integrals between the points B and C in the figure above: 1. S, PdV, along the path, h, described by P = 3P¡V1/(V – 3V1), shown in red in the figure above. 2. S, PdV, along the path, s, shown in black in the figure above. Use these results to demonstrate that dW -PdV is not an exact differential.


Extracted text: c) Use dU = 8Q-PdV to compute the heat, QD→A, associated to the process D → A along the black vertical line shown in the figure above. d) Calculate the line integral of dU along the path shown below. Pr 3 P1 2 P1- P1 V V1 2V1 Problem 3d