Question

If one mole of monoatomic gas `(gamma=5/3)` is mixed with one mole of diatomic gas `(gamma=7/5)`, the value of γ for the mixture is ______.

Options

• 1.40

• 1.50

• 1.53

• 3.07

Answer 1

If one mole of monoatomic gas `(gamma=5/3)` is mixed with one mole of diatomic gas `(gamma=7/5)`, the value of γ for the mixture is 1.50.

Explanation:

`("n"_1+"n"_2)/(gamma-1)="n"_1/(gamma_1-1)+"n"_2/(gamma_2-1)`

or `2/(gamma-1)=1/(5/3-1)+1/(7/5-1)`

∴ γ = `3/2`.