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 closet to the ratio wd / ws is

Engineering

Chemistry

First Law and Various Process

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. 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 closet to the ratio w_d / w_s is

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

For solid line path show approxy isothermal process

∴ work done |WS| = 2.303 (PV) log $\frac{5.5}{.5}$

=2.303 × 4 × .5 × log 11

$≃$ 4.79

for dashed line path work done

wd = 4 × |2 – .5| + 1 × |3 – 2| + .5 × |5.5 –3|

= 6 + 1 + 1.25 = 8.25

$∴ \frac{w_{d}}{w_{s}} = \frac{8 .25}{4 .8} = 1 .71 ≃ 2$