Question

If 'f' is the number of degrees of freedom of a molecule of a gas and ratio of molar specific heats of a gas, ϒ = 1 + `2/"f"` where ϒ = Cp/Cv. The ratio of 'ϒ' for monoatomic gas to 'ϒ' for (rigid) f diatomic gas is ______.

Options

• `15/35`

• `35/15`

• `21/25`

• `25/21`

Answer 1

If 'f' is the number of degrees of freedom of a molecule of a gas and ratio of molar specific heats of a gas, ϒ = 1 + `2/"f"` where ϒ = Cp/Cv. The ratio of 'ϒ' for monoatomic gas to 'ϒ' for (rigid) f diatomic gas is `underline(25/21)`

Explanation:

`"V"_"mono"/"V"_"diatomic" = (1+ 2/3)/(1+2/5)    "f"_"mono" = 3, "f"_"dia"` = 5

`(5/3)/(7/5) = 25/21`