If one mole of a monoatomic gas $\left( \gamma = \frac{5}{3} \right)$ is mixed with one mole of a diatomic gas $\left( \gamma = \frac{7}{5} \right)$, the value of $\gamma$ for the mixture is

Question

Dr. Abubacker · Accepted Answer

(c) $\gamma_{\max} = \frac{\frac{\mu_{1}\gamma_{1}}{\gamma_{1} - 1} + \frac{\mu_{2}\gamma_{2}}{\gamma_{2} - 1}}{\frac{\mu_{1}}{\gamma_{1} - 1} + \frac{\mu_{2}}{\gamma_{2} - 1}}$
$= \frac{\frac{1 	imes \frac{5}{3}}{\left\lbrack \frac{5}{3} - 1 ightbrack} + \frac{1 	imes \frac{7}{5}}{\left\lbrack \frac{7}{5} - 1 ightbrack}}{\left\lbrack \frac{1}{\frac{5}{3} - 1} ightbrack + \left\lbrack \frac{1}{\frac{7}{5} - 1} ightbrack}$=$\frac{3}{2} = 1.5$

Q. If one mole of a monoatomic gas $\left( \gamma = \frac{5}{3} \right)$ is mixed with one mole of a diatomic gas $\left( \gamma = \frac{7}{5} \right)$, the value of $\gamma$ for the mixture is

Explanation

Reviewed by Dr. Abubacker

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