If the pressure on density of a diatomic gas `(gamma=7/5)` in adiabatic process changes from `(P,e)` to `(P',e')`, where, `P=32P'`, then, `e/e'` is equal to :

Options

A. `1/128`
B. `25/27`
C. `128`
D. `1/12`

Answer

C

Explanation

`PV^(gamma)`=constant
`:. P/(P')xx[V/(V')]^(gamma)=1`
or `32xx[(e')/e]^(gamma)=1 ( :' V prop 1/e)`
`:. (e')/e=[1/32]^(1/gamma)=[1/32]^(-gamma)=[1/32]^(1.4)(`:.`gamma=1.4)`