PART A Question 1 4 Figure Q1 Consider the reversible thermal cycle undergone by an ideal gas shown in Fig. Q1. The cycle is formed by two isobars and two isotherms. (a) Calculate the total work...
PART A Question 1 4 Figure Q1 Consider the reversible thermal cycle undergone by an ideal gas shown in Fig. Q1. The cycle is formed by two isobars and two isotherms. (a) Calculate the total work involved in the cycle. Explain whether the gas does work on its surroundings [5 marks] b) Calculate the net heat exchange involved in path 1-3. Express your result in terms of the pressure and volume of the gas. [5 marks] (c) Make a plot of the cycle in a T vs V diagram. Write a mathematical expression for each of the paths involved in the cycle and indicate them in your plot. [5 marks] (d) Show that the cycle satisfies Clausius Theorem. 15 marks] (e) Derive an expression for the change in Helmholtz free energy involved in path 2 3. [5 marks Total: 25 marks
PART A Question 1 4 Figure Q1 Consider the reversible thermal cycle undergone by an ideal gas shown in Fig. Q1. The cycle is formed by two isobars and two isotherms. (a) Calculate the total work involved in the cycle. Explain whether the gas does work on its surroundings [5 marks] b) Calculate the net heat exchange involved in path 1-3. Express your result in terms of the pressure and volume of the gas. [5 marks] (c) Make a plot of the cycle in a T vs V diagram. Write a mathematical expression for each of the paths involved in the cycle and indicate them in your plot. [5 marks] (d) Show that the cycle satisfies Clausius Theorem. 15 marks] (e) Derive an expression for the change in Helmholtz free energy involved in path 2 3. [5 marks Total: 25 marks