Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its CP/CV value will be :

Engineering

Physics

Degree of Freedom Internal Energy of Gas and Specific Heat Capacity of Gases

Question

Consider a mixture of n moles of helium gas and 2n moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its C_P/C_V value will be :

$\frac{67}{45}$

$\frac{19}{13}$

$\frac{23}{15}$

$\frac{40}{27}$

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$γ_{mix} = \frac{n_{1} c_{p_{1}} + n_{2} c_{p_{2}}}{n_{1} c_{v_{1}} + n_{2} c_{v_{2}}}$

$= \frac{n (\frac{5}{2} R) + 2 n (\frac{7}{2} R)}{n (\frac{3}{2} R) + 2 n (\frac{5}{2} R)}$

$= \frac{5 + 14}{3 + 10} = \frac{19}{13}$