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Heat given

Question

1 mole of a gas having $γ = \frac{7}{5}$ is mixed with 1 mole of a gas having $γ = \frac{4}{3}$ . What will be the $γ$ for the mixture?

Easy

A

5/11
B

15/13
C

15/11
D

5/13

Solution

$\begin{array}{l} \frac{1 + 1}{γ - 1} = \frac{1}{γ_{1} - 1} + \frac{1}{γ_{2} - 1} \\ \frac{2}{γ - 1} = \frac{1}{(\frac{7}{5} - 1)} + \frac{1}{(\frac{4}{3} - 1)} \\ \Rightarrow γ = \frac{15}{11} \end{array}$

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