A given mass of gas expands from state A to state B by three paths 1, 2, and 3 as shown in the figure: If w1, w2 and w3 respectively, be the work done by the gas along three paths, then

Question

A given mass of gas expands from state A to state B by three paths 1, 2, and 3 as shown in the figure:

If w1, w2 and w3 respectively, be the work done by the gas along three paths, then (A) w1 > w2 > w3 (B) w1 < w2 < w3 (C) w1 = w2 = w3 (D) w1 < w2; w1 > w3

Tardigrade Admin · Accepted Answer

Work is equal to area under P -V graph (when P is plotted along y-axis). As area under graph 3 is maximum and area under graph 1 is minimum, so w3 is maximum and w1 is minimum. ∴ w1 < w2 < w3

Q. A given mass of gas expands from state $A$ to state $B$ by three paths $1$ , $2$ , and $3$ as shown in the figure :

If $w_{1}$ , $w_{2}$ and $w_{3}$ respectively, be the work done by the gas along three paths, then

$w_{1} > w_{2} > w_{3}$

$w_{1} < w_{2} < w_{3}$

$w_{1} = w_{2} = w_{3}$

$w_{1} < w_{2}$ ; $w_{1} > w_{3}$

Work is equal to area under $P - V$ graph (when $P$ is plotted along $y$ -axis). As area under graph $3$ is maximum and area under graph $1$ is minimum, so $w_{3}$ is maximum and $w_{1}$ is minimum.
$∴ w_{1} < w_{2} < w_{3}$

Q. A given mass of gas expands from state A to state B by three paths 1, 2, and 3 as shown in the figure : If w1​, w2​ and w3​ respectively, be the work done by the gas along three paths, then

w1​>w2​>w3​

w1​<w2​<w3​

w1​=w2​=w3​

w1​<w2​; w1​>w3​