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Question

The state of an ideal gas is changed through an isothermal process at temperature To as shown in figure. The work done by the gas going from state B to C is double the work done by gas in going from state A to B. If the pressure in the state B is Po2, then the pressure of the gas in state C is


A
Po3
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B
Po4
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C
Po6
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D
Po8
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Solution

The correct option is D Po8
From indicator diagram (PV diagram), For an isothermal process, both pressure and volume vary.

In the diagram, pressure variation is given
Pi=Po;Pf=P02
Workdone (WAB)=nRToln(PiPf)
=nRToln(2)

To find WBC;Pi=Po2,Pf=Pc
WBC=nRToln(Po2Pc)
given that,
WBC=2WAB
nRToln(Po2Pc)=2nRToln(2)
Po2Pc=4
Pc=Po8

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