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Q.

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. If the work done along the solid line path is  Ws, and that along the dotted line path is  Wd then the integer closest to the ratio  Wd/Ws is

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a

0.582

b

1.582

c

0.85

d

1.72

answer is B.

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Detailed Solution

Wd=WAB+WCD+WEF=4×1.5+1×1+0.5×2.5=8.25L.atmWs=2.303nRTlogV2V1=2.303PVlogV2V1Ws=2.303×4×0.51log5.50.5=4.79L.atmWdWs=8.254.79=1.72

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