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Question

At constant temperature on increasing the pressure of a gas by 5% will decrease its volume by

A
5%
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B
5.26%
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C
4.26%
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D
4.76%
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Solution

The correct option is D 4.76%
If P1=P then P2=P+ 5% of P = 1.05 P
From Boyle's law PV=constant V2V1=P1P2=P1.05P=100105

Fractional change in volume=ΔVV=V2V1V1=100105105=5105
Percentage change in volume ΔVV×100%=5105×%=4.76% i.e. volume decrease by 4.76

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