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

Options

A. decrease by 10%
B. decreased by 1%
C. increased by 10%
D. decreased 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)`
pr `P_(2)=(10)/(11) P_(1)=0.9p_(1)=90% "of " P_(1)`