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~angel~
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A monatomic ideal gas has pressure p_1 and temperature T_1. It is contained in a cylinder of volume V_1 with a movable piston, so that it can do work on the outside world.
Consider the following three-step transformation of the gas:
1. The gas is heated at constant volume until the pressure reaches A p_1 (where A >1).
2. The gas is then expanded at constant temperature until the pressure returns to p_1.
3. The gas is then cooled at constant pressure until the volume has returned to V_1.
It may be helpful to sketch this process on the pV plane.
How much work W_2 is done by the gas during step 2?
Express the work done in terms of p_1, V_1, and A.
I know I have to find the integral, but I can't work out how to find pressure as a function of volume.
Please help.
Thank you
Consider the following three-step transformation of the gas:
1. The gas is heated at constant volume until the pressure reaches A p_1 (where A >1).
2. The gas is then expanded at constant temperature until the pressure returns to p_1.
3. The gas is then cooled at constant pressure until the volume has returned to V_1.
It may be helpful to sketch this process on the pV plane.
How much work W_2 is done by the gas during step 2?
Express the work done in terms of p_1, V_1, and A.
I know I have to find the integral, but I can't work out how to find pressure as a function of volume.
Please help.
Thank you
