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 " P_(2) = (10)/(11) P_(1) = 0.9 P_(1) = 90% P_(1)`
Decrease in pressure = 10%