Question

How much should the pressure be increased i
order to decrease the volume of a gas by 5% at
constant temperature?
(2) 5.26%
(3) 10%
(4) 4.26%
(1) 5%
LO​

Answer 1

EXPLANATION

Let, Initial pressure be P1 and initial volume be V1

∵ The volume has to be decreased by 5%, so the final volume of the gas is, V2= V-Vx5%=V-V/20= 19V/20.

Let P2 be the final pressure of the gas.

We know that,

P1V1=P2V2

=>P2=P1V1/V2

      =P1V1/19V/20

=>P2=(20/19) P1=1.05 P1

∴ Increase in pressure=P2-P1=1.05 P1- P1=0.05 P1

∴ The pressure has to be increased by 0.05 multiple of the initial pressure.

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