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 $\mathrm{w}_{\mathrm{s}}$ and that along the dotted line path is $\mathrm{w}_{\mathrm{d}}$, then the integer closest to the ratio $\mathrm{w}_{\mathrm{d}} / \mathrm{w}_{\mathrm{s}}$ is

JEE Advanced · 2010 · 11 Apr 2010 · Paper 2 · Chemical Thermodynamics

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

w_{s}

and that along the dotted line path is

w_{d}

, then the integer closest to the ratio

w_{d} / w_{s}

Answer: 2

Solution

Work done by a gas is the area under the P-V curve. The dashed path (curved) represents a process at higher pressure for most of the volume change compared to the solid path (straight line). Therefore, the area under the dashed curve is approximately twice the area under the solid line. The ratio wₐ/wₛ ≈ 2.

JEE Advanced · 2010 · 11 Apr 2010 · Paper 2 · Integer answer

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