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, the integer closest to the ratio wd/ws is

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 ws and that along the dotted line path is wd, the integer closest to the ratio wd/ws is <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/chemistry/c8ca0c44e77a25a77e8e21c17405d27d-.png" /> (A) 2 (B) 0 (C) 4 (D) none of these

Tardigrade Admin · Accepted Answer

Solid line path work done (ws) is isothermal because PV is constant (Boyles law) and dashed line (horizontal) path work done wd is isobaric. Work done in vertical line is zero as Δ V =0 Total work done on solid line path (ws)=2.303 nRT log (V2/V1) =2.303 PV log (V2/V1)=2.303× 4× 0.5 log (5.5/0.5)=4.8 L atm Total work done on dashed line path (wd)= P Δ V =4 × (2-0.5)+1(3-2)+0.5(5.5-3)=6+1+1.25=8.25 so, (wd/ws)=(8.25/4.8)=2 ≈ 1.72

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 $w_{s}$ and that along the dotted line path is $w_{d}$ , the integer closest to the ratio $w_{d} / w_{s}$ is

$2$

$0$

$4$

none of these

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​, the integer closest to the ratio wd​/ws​ is

2

0

4

none of these

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 $w_{s}$ and that along the dotted line path is $w_{d}$ , the integer closest to the ratio $w_{d} / w_{s}$ is

$2$

$0$

$4$