In order to increase the volume of a gas by `10%` , the pressure of the gas should be

Options

A. decreased by `10%`
B. decreased by `1%`
C. increased by `10%`
D. increased by `1%`

Answer

A

Explanation

According to Boyle.s law, pV = constant
`"or "p_(1)V_(1)=p_(2)V_(2)`
If `V_(2)=V_(1)+(V_(1)xx10)/(100)=1.1V_(1)`
`p_(2)=(p_(1)V_(1))/(V_(2))=(p_(1)xxV_(1))/(1.1V_(1))=0.9p_(1)`
`therefore" Pressure decreases by 10%"`.