A monatomic ideal gas has pressure p1 and temperature T1. It is contained in a cylinder of volume V1 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 Ap1 (where A>1).
2. The gas is then expanded at constant temperature until the pressure returns to p1.
3. The gas is then cooled at constant pressure until the volume has returned to V1.

It may be helpful to sketch this process on the pV plane.

A)How much heat Q1 is added to the gas during step 1 of the process?

(Express the heat added in terms of p1, V1, and A.)

W1

B) How much work W2 is done by the gas during step 2?

(Express the work done in terms of p1, V1, and A.)

W2

C)How much work W3 is done by the gas during step 3?

If you've drawn a graph of the process, you won't need to calculate an integral to answer this question.

(Express the work done in terms of p1, V1, and A.)

W3