The pressure and density of a diatomic gas `(gamma=7//5)` change adiabatically from (p,d) to `(p^('),d^('))`. If `(d^('))/(d)=32`, then `(P^('))/(P)` should be

Options

A. 1/128
B. 32
C. 128
D. None of the above

Answer

C

Explanation

`V=m/d` and `PV^(gamma)` = constant
`implies (P.)/(P)=((V)/(V.))^(gamma) = ((d.)/(d))^(gamma)`
`implies (P.)/(P)= (32)^(7//5)` = 128.