Question

what should be the percentage increase in pressure for 5% decrease in volume?

Answer 1

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

∴ %age increase in pressure=(P2-P1)/P1 x100=(1.05P1-P1)/P1  x100=0.5x100=50%

Thank u.

Answer 2

Answer: 5.26% decrease

Explanation: