One mole each of a monoatomic, diatomic and triatomic gases are mixed `C_(p)//C_(v)` for the mixture is

Options

A. `1.40`
B. 1.428
C. 1.67
D. None of these

Answer

B

Explanation

`C_(v) = (((3)/(2) R + (5)/(2) R + (6)/(2)R))/(3) = (7R)/(3)`
`C_(p) = (((5)/(2) R + (7)/(2) R + (8)/(2) R))/(3) = (10R)/(3)`
`(C_(p))/(C_(v)) = (10)/(7) = 1.428`