Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
On a pressure-volume graph a gas goes from A (, ) to B (, ) along a straight line. Find the work done by the gas. Then find the work if it goes from A to B by expanding at the steady pressure of and then losing pressure at a steady volume. And by the other corner path?
Work done by a gas is the area under its path on a pressure-volume graph. At a steady pressure ; along a straight line, the average pressure times ; at a steady temperature . Expanding gives positive work, squeezing negative. .
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Straight line. .
Step 2. High path. All the expansion is at : .
Step 3. Low path. Pressure falls first, then it expands at : .
Answer: , and .
Watch out. Same start, same end, three different works: work depends on the path.
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