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Question

Temperature remaining constant, the pressure of a gas is decreased by 20%. The percentage change in volume is

A
increases by 20%
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B
decreases by 20%
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C
increases by 25%
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D
decreases by 25%
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Solution

The correct option is C increases by 25%
Ideal gas equation states that: PV=nRT
As temperature remains constant, so PV= constant =k
As pressure decreases by 20% so P2=0.8P
PV=(0.8P)V2
V2=PV0.8P=V0.8=1.25V
So volume of gas increases by 25%.

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