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One mole of ideal monoatomic gas (\gamma=5 / 3) is mixed with one mole of diatomic gas (\gamma=7 / 5 ).What is \mathrm{y}for the mixture? ( \mathrm{y} denotes the ratio of specific heat at constant pressure, to that at constant volume)

Option: 1

3 / 2


Option: 2

23 / 15


Option: 3

35 / 23


Option: 4

4 / 3


Answers (1)

best_answer

\gamma_{\text {mix }}=\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 \times \frac{5}{3}}{\left(\frac{5}{3}-1\right)}+\frac{1 \times \frac{7}{5}}{\left(\frac{7}{5}-1\right)}}{\frac{1}{\left(\frac{5}{3}-1\right)}+\frac{1}{\left(\frac{7}{5}-1\right)}}

         =\frac{3}{2}

Posted by

rishi.raj

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