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

`P_(1)V_(1)=P_(2)V_(2)."If" V_(1)=V`,
`V_(2)=V+(10)/(100)V=V+(V)/(10)=(11V)/(10)`
`P_(1)V=P_(2)(11V)/(10) or (10)/(11)P_(1)=0.9 P_(1)`
`:.` Decrease in pressure=10%