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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

IIT JEEIIT JEE 2000Thermodynamics

Solution:

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 )$_3$
$\therefore \, \, \, \, $ W$_2$ > W$_1$ > W$_3$

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