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Question

One mole of an ideal gas is taken from a to b along two paths denoted by the solid and the dashed lines as shown in the graph below. It the work done along the solid line path is Ws and that along the dotted line path is WdWs is ___


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Solution

Work done along dashed path |W|=PΔV
=4×1.5+1×1+23×2.5=8.65 L atm
Work done along solid path - W=nRT ln V2V1=p1V1 ln V2V1
=2×2.3 log 5.50.5=2×2.3 log 11=4.79WdWs=8.654.79=1.802


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