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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 above. 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:

1

3

2

4

Solution:

For calculating work done, we need to calculate the area under curve for solid and dotted lines.Let wd and ws be work done along the dotted and solid path respectively.wd=4×1.5+1×1+2.5×2/3=8.65Process is isothermal.ws=2×2.303log5.5/0.5=2×2.303×log11=2×2.303×1.0414=4.79wd/ws=8.65/4.79=1.80≈2