Question

The value of 'γ' for a gas is given as `gamma = 1 + 2/"f"`, where 'f ' is the number of degrees of freedom of freedom of a molecule of a gas. What is the ratio of `gamma_"monoatonic"//gamma_"diatomic"`?
Diatomic gas consists of rigid gas molecules

Options

• `25/21`

• `3/10`

• `21/25`

• `10/3`

Answer 1

`25/21`

Explanation:

`"v"_"monoatomic" = 1 + 2/3 = 5/3`

`"v"_"diatomic" = 1 + 2/5 = 7/5`

`therefore "v"_"monoatomic"/"v"_"diatomic" = (5//3)/(7//5) = 25/21`