If one mole of a monatomic gas `(gamma=5/3)` is mixed with one mole of a diatomic gas `(gamma=7/5),` the value of gamma for mixture is

Options

A. 1.4
B. 1.5
C. 1.53
D. 3.07

Answer

B

Explanation

`n_1=1,gamma_1=(5)/(3),n_2=1,gamma_2=(7)/(5)`
`(n_1+n_2)/(overlinegamma-1)=(n_1)/(gamma_1-1)+(n_1)/(gamma_2-1)`
`(1+1)/(overlinegamma-1)=(1)/((5)/(3)-1)+(1)/((7)/(5)-1)`
`(2)/(overlinegamma-1)=(3)/(2)+(5)/(2)=4`
`overlinegamma=(3)/(2)=1.5`