One mole of an ideal gas expands from state to
by three paths 1, 2 and 3 as shown in the figure below. If W1, W2 and W3 are respective work done by ideal gas along the three paths then:
Work is a path function and not a state function. And Area under curve gives Work done. As far as the magnitude is concerned, work done by gas will be maximum in path 3 because the area under the curve is highest in the case of path 3. The second highest area is under path 2 and the least area is of the curve 1.
Hence, Option number (3) is correct