A monoatomic gas is suddenly compressed to `(1//8)^(th)` of its initial volume adiabatically. The ratio of its final pressure to the initial pressure is given the ratio of the specific heat of the given gas to be 5/3).

Options

A. 32
B. 40/3
C. 24/5
D. 8

Answer

A

Explanation

For adiabatic process, `PV^(gamma)=` constant.
`therefore P_(1)V_(1)^(gamma)=P_(2)V_(2)^(gamma)`
`(P_(2))/(P_(1))=((V_(1))/(V_(2)))^(gamma)=((8V_(1))/(V_(2)))^(5//3)=(2^(3))^(5//3)=2^(5)=32`.