`A` gas for which `gamma=1.5` is suddenly compressed to `1//4` th of the initial volume. Then the ratio of the final to initial pressure is

Options

A. 4 atm
B. 6 atm
C. 8 atm
D. 16 atm

Answer

C

Explanation

`P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma)`
`1V^(1.5)=P_(2)(1/4)^(3//2)`
8 atm `=P_(2)`