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Consider n moles of ideal gas kept in a cylinder with a piston at the external p

ID: 694076 • Letter: C

Question

Consider n moles of ideal gas kept in a cylinder with a piston at the external pressure po, and heat contact with a reservoir at the temperature To (initial state, referred to as state 0) The external pressure is suddenly changed to p Po/2, and we wait for the system to equilibrate. This state is referred to as intermediate state, or state 1. Then the external pressure is quickly returned to its initial value po, and the heat exchange with the reservoir is blocked (i.e., all further processes are adiabatic). We wait for the system to equilibrate. The resulting (equilibrated) state is referred to as state 2. a) Identify the final state, i.e., calculate the final temperature T2and the volume b) between the final and initial state. Find the change of the entropy AS- S, -So for the entire process, i.e., c)Calculate the integral j & T for the entire process. Apply the second law of thermodynamics to conclude whether our entire process is reversible, or irreversible. Explain your conclusion quantitatively

Explanation / Answer

Since all the processes are adiabatic, the final temperature and volume will remain the same i.e same as the initial one.

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