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 B25% According to Boyle's law for a given mass of an ideal gas at
at constant temperature : PV=K (constant) ∴P1V1=P2V2
Where, P1 and V1 are initial pressure and volume
and P2 and V2 are final pressure and volume ⇒P2P1=V1V2As given;V2=V1−V1×20100=80100V1⇒V2=45V1∴V1V2=54⇒P2P1=54⇒P2P1−1=54−1⇒P2−P1P1=5−44=14⇒P2−P1P1×100=14×100=25%