How much should the pressure be increased in order to decrease the volume of a gas 5% at a constant temprature ?

Options

A. `5%`
B. `5.26%`
C. `10%`
D. `4.26%`

Answer

B

Explanation

New volume , `V_(1)=V-(5)/(100)V=(95V)/(100)`
New pressure , `p_(1)=(pV)/(V_(1))=(pV)/((95//100)V)=(100)/(95)p`
`therefore%"increase in pressure"=((p_(1)-P)/(p))xx100=(P_(1)/(p)-1)xx100`
`((100)/(95)-1)xx100=5.26%`