Ratio C_P /C_V for a gas mixture consisting of 8,g of helium and 16,g of oxygen is

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12.Kinetic Theory of Gases

normal

The ratio $C_P /C_V$ for a gas mixture consisting of $8\,g$ of helium and $16\,g$ of oxygen is

$23/15$

$15/23$

$27/17$

$17/27$

Solution

$\mathrm{f}_{\mathrm{av}}=\frac{\mathrm{n}_{1} \mathrm{f}_{1}+\mathrm{n}_{2} \mathrm{f}_{2}}{\mathrm{n}_{1}+\mathrm{n}_{2}}=\frac{\left(\frac{8}{2}\right) 3+\left(\frac{16}{32}\right)(5)}{\left(\frac{8}{2}\right)+\left(\frac{16}{32}\right)}=\frac{145}{45}=\frac{29}{9}$

$y_{a v}=1+\frac{2}{f}=1+\frac{18}{29}=\frac{47}{29}$

Standard 11

Physics

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normal

The ratio of specific heats $\left(\frac{C_{P}}{C_{V}}\right)$ in terms of degree of freedom ( $f$ ) is given by

normal

The ratio $C_P /C_V$ for a gas mixture consisting of $8\,g$ of helium and $16\,g$ of oxygen is

Solution

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