I need help with 3A and B. Please show me the detailed steps. 3. For a mole of a perfect monoatomic gas, the internal energy, U, can be expressedas a function of the pressure and volume asU = U (P,V) = PVa) Calculate explicitly the line integral of dU along the closed path ABCD shown asa black trace in the P – V graph below.3P12P1P1AVV12V13V14V15V16V1Problem За-3Зсb) Compute the following line integrals between the points B and C in the figureabove:1. S, PdV, along the path, h, described by P = 3P¡V1/(V – 3V1), shown in redin 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.

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 3 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. D C 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;V/(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 &W = -PdV is not an exact differential. S.

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 3 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. D C 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;V/(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 &W = -PdV is not an exact differential. S.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter4: Gibbs Energy And Chemical Potential

Section: Chapter Questions

Problem 4.42E: Use the ideal gas law to demonstrate the cyclic rule of partial derivatives.

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