Question

One mole of ideal monoatomic gas `(gamma=5//3)` is mixed with one mole of diatomic gas `(gamma=7//5)`. What is `gamma` for the misture? `gamma` Denotes the ratio of specific heat at constant pressure, to that at constant volume
A. `35//23`
B. `23//15`
C. `3//2`0
D. `4//3`

Answer 1

Correct Answer - C
(c) `(n_1+n_2)/(gamma-1)=(n_1)/(gamma_1-1)+(n_2)/(gamma_2-1)`
`rArr (1+1)/(gamma-1)=1/(5/3-1)+1/(7/5-1) rArr gamma=3/2`