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Q.
The ratio CP/CV for a gas mixture consisting of $8g$ of helium and $16g$ of oxygen is :
NTA AbhyasNTA Abhyas 2022
Solution:
$\gamma _{mix}=\frac{n_{1} C p_{1} + n_{2} C p_{2}}{n_{1} C v_{1} + n_{2} C v_{2}}$
$\gamma_{\operatorname{mix}}=\frac{(2)\left(\frac{5}{2}\right)+\left(\frac{1}{2}\right)\left(\frac{7}{2}\right)}{(2)\left(\frac{3}{2}\right)+\frac{1}{2}\left(\frac{5}{2}\right)}=\frac{10+\frac{7}{2}}{6+\frac{5}{2}}=\frac{27}{17}$