Question

A gas has n degrees of freedom. The ratio of the specific heat of the gas at constant volume to the specific heat of the gas at constant pressure will be ______.

Options

• `n/(n + 2)`

• `(n + 2)/n`

• `n/(2n + 2)`

• `n/(n - 2)`

Answer 1

A gas has n degrees of freedom. The ratio of the specific heat of the gas at constant volume to the specific heat of the gas at constant pressure will be `underlinebb(n/(n + 2)).`

Explanation:

`"C"_"v" = ("nR")/2, "C"_"p" = (("n" + 2)"R")/2 (∵ "C"_"p" - "C"_"v" = "R")`

`"C"_"v"/"C"_"p" = "n"/("n" + 2)`