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Question

By what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by 20% at a constant temperature?

A
20%
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B
25%
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C
10%
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D
5%
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Solution

The correct option is B 25%
According to Boyle's law for a given mass of an ideal gas at
PV=K (constant) at constant temperature

P1V1=P2V2
Where, P1 and V1 are initial pressure and volume
and P2 and V2 are final pressure and volume
P2P1=V1V2As given;V2=V1V1×20100=80100V1V2=45V1V1V2=54P2P1=54P2P11=541P2P1P1=544=14P2P1P1×100=14×100=25%

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