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Q. An ideal gas is compressed to half its initial volume by means of several processes. Which of the process results in the maximum work done on the gas?

AIPMTAIPMT 2015Thermodynamics

Solution:

The $P-V $ diagram of an ideal gas compressed from its initial volume $V_0 \, to \, \frac {V_0}{2} $ by several processes is shown in the figure.
image
Work done on the gas = Area under $P-V$ curve
As area under the $P-V$ curve is maximum for adiabatic process, so work done on the gas is maximum for adiabatic process.