For this question, consider a cylinder filled with a gas, com- pressed by a piston, as discussed in lectures. Consider the gas to be an ideal gas with constant heat capacity at fixed pressure (Cp) and constant heat capacity at fixed pressure (Cy). (See Tutorial 2). Both Cp and Cy are positive numbers. (a) How could we place this system into a state that is in mechanical equilibrium, but not in thermal equilibrium, with its surroundings? (b) We wish to raise the temperature of the gas isobarically (at constant pressure), and then lower the temperature isochorically (at constant volume). Briefly describe an experimental process that will achieve this. (c) The gas expands isobarically and reversibly from (Vo, Po, To) to (V₁, Po, T₁) — call this Process 1. Illustrate this process on a pV -diagram.

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For this question, consider a cylinder filled with a gas, com- pressed by a piston, as discussed in lectures.
Consider the gas to be an ideal gas with constant heat capacity at fixed pressure (Cp) and constant heat capacity
at fixed pressure (Cy). (See Tutorial 2). Both Cp and Cy are positive numbers.
(a) How could we place this system into a state that is in mechanical equilibrium, but not in thermal
equilibrium, with its surroundings?
(b) We wish to raise the temperature of the gas isobarically (at constant pressure), and then lower the
temperature isochorically (at constant volume). Briefly describe an experimental process that will
achieve this.
(c) The gas expands isobarically and reversibly from (Vo, Po, To) to (V₁, Po, T₁) — call this Process 1.
Illustrate this process on a pV -diagram.
(d) Calculate the amount work done on the gas during Process 1. Pay attention to the sign of your
answer.
(e) Show that the amount of heat that flows into the system during Process 1 is,
V₁ - Vo
Vo
q=Cp To-
Transcribed Image Text:For this question, consider a cylinder filled with a gas, com- pressed by a piston, as discussed in lectures. Consider the gas to be an ideal gas with constant heat capacity at fixed pressure (Cp) and constant heat capacity at fixed pressure (Cy). (See Tutorial 2). Both Cp and Cy are positive numbers. (a) How could we place this system into a state that is in mechanical equilibrium, but not in thermal equilibrium, with its surroundings? (b) We wish to raise the temperature of the gas isobarically (at constant pressure), and then lower the temperature isochorically (at constant volume). Briefly describe an experimental process that will achieve this. (c) The gas expands isobarically and reversibly from (Vo, Po, To) to (V₁, Po, T₁) — call this Process 1. Illustrate this process on a pV -diagram. (d) Calculate the amount work done on the gas during Process 1. Pay attention to the sign of your answer. (e) Show that the amount of heat that flows into the system during Process 1 is, V₁ - Vo Vo q=Cp To-
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