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Q. Which of the following statement given below are correct for monoatomic gas?

I. $C_{V}=\frac{3}{2} R$

II. $C_{P}=\frac{5}{2} R$

III. $C_{P}-C_{V}=2 R$

IV. $\frac{C_{P}}{C_{V}}=\frac{5}{3}$

Kinetic Theory

Solution:

$C_{P}=\frac{5}{2} R $
$ C_{V}=\frac{3}{2} R $
$\therefore \frac{C_{P}}{C_{V}}=\frac{5}{3}$