Part A
Work done for processes 2-->3 and 4 -->1 is zero
Work done for process 1 --> 2 = p1 (V2 - V1) = 10 * 1.013e5 (8 - 2 )e-3
Work done for process 1 --> 2 = 10 * 1.013e5 * 6e-3
Work done for process 1 --> 2 = 6078 J
Now,
Work done for process 3 ---> 4 = -2 * 1.013e5 * 6e-3
Work done for process 3 ---> 4 = -1215.6 J
so,
total work done = 4862.4 J
Now , To prove that it is equal to the area enclosed by the loop.
W = (6e-3) * (8*1.013e5)
W = 4862.4 J
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Part B
If the loop is traversed in the opposite direction,
W = -4862.4 J
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