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 $\frac{W_{d}}{W_{s}}$ is:___

Open in App

Solution

Work done along dashed path $| - W | = \sum p Δ V = 4 \times 1.5 + 1 \times 1 + \frac{2}{3} \times 2.5 = 8.65 L a t m$
Work done along solid path $- W = n R T I n \frac{v_{2}}{v_{1}} = p_{1} V_{1} I n \frac{V_{2}}{V_{1}}$
$= 2 \times 2.3 l o g \frac{5.5}{0.5} = 2 \times 2.3 l o g 11 = 4.79$
$\Rightarrow \frac{W_{d}}{W_{s}} = \frac{8.65}{4.79} = 1.80 \approx 2$

Suggest Corrections

Similar questions

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 above. 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}

is :

Q. One mole of an ideal gas is taken from a to b along two paths denoted by the solid and dashed line as shown in the graph above. 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}

is:

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. It the work done along the solid line path is $W_{s}$ and that along the dotted line path is $\frac{W_{d}}{W_{s}}$ is ___