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Physics Question on Kinetic molecular theory of gases

The ratio of the specific heats CPCV=γ\frac{C_P}{C_V} = \gamma in terms of degrees of freedom (n) is given by :

A

(1+2n)\left(1 + \frac{2}{n} \right)

B

(1+n2)\left(1 + \frac{n}{2} \right)

C

(1+1n)\left(1 + \frac{1}{n} \right)

D

(1+n3)\left(1 + \frac{n}{3} \right)

Answer

(1+2n)\left(1 + \frac{2}{n} \right)

Explanation

Solution

γ=1+2n\gamma = 1 + \frac{2}{n}

Here degree of freedom→ \rightarrow
∴γ=1+2n\therefore \gamma = 1 + \frac{2}{n}