Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways, the work done by the gas is W1 if the process is purely isothermal, W2 if purely isobaric and W3 if purely adiabatic, then

Question

Starting with the same initial conditions, an ideal gas expands from volume V1 to V2 in three different ways, the work done by the gas is W1 if the process is purely isothermal, W2 if purely isobaric and W3 if purely adiabatic, then (A) W2 > W1 > W3 (B) W2 > W3 > W1 (C) W1 > W2 > W3 (D) W1 > W3 > W2

Tardigrade Admin · Accepted Answer

The corresponding p-V graphs (also called indicator diagram) in three different processes will be as shown :
Area under the graph gives the work done by the gas.
(Area )

_{2}

> (Area)

_{1}

> (Area )

_{3}

∴

W

_{2}

> W

_{1}

> W

_{3}

Q. Starting with the same initial conditions, an ideal gas expands from volume V $_{1}$ to V $_{2}$ in three different ways, the work done by the gas is W $_{1}$ if the process is purely isothermal, W $_{2}$ if purely isobaric and W $_{3}$ if purely adiabatic, then

$W_{2} > W_{1} > W_{3}$

$W_{2} > W_{3} > W_{1}$

$W_{1} > W_{2} > W_{3}$

$W_{1} > W_{3} > W_{2}$

The corresponding p-V graphs (also called indicator diagram) in three different processes will be as shown :
Area under the graph gives the work done by the gas.
(Area ) $_{2}$ > (Area) $_{1}$ > (Area ) $_{3}$
$∴$ W $_{2}$ > W $_{1}$ > W $_{3}$

Q. Starting with the same initial conditions, an ideal gas expands from volume V1​ to V2​ in three different ways, the work done by the gas is W1​ if the process is purely isothermal, W2​ if purely isobaric and W3​ if purely adiabatic, then

W2​>W1​>W3​

W2​>W3​>W1​

W1​>W2​>W3​

W1​>W3​>W2​