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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 Po8From indicator diagram (P−V 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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