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  4. A gas mixture contain one mole O2 gas and one mole He gas. Find the ratio of specific heat at constant pressure to that at constant volume of the gaseous mixture.

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Q. A gas mixture contain one mole $O_2$ gas and one mole He gas. Find the ratio of specific heat at constant pressure to that at constant volume of the gaseous mixture.

AIIMSAIIMS 2013Kinetic Theory

Solution:

For mixture of gases,
$C_{V}=\frac{\frac{3}{2}R+\frac{5}{2}R}{1+1}=2R$
$C_{P}=2R+R=3R$
$\therefore \frac{C_{P}}{C_{V}}=\frac{3}{2} \frac{R}{R}=1.5$