Question 249: Thermodynamics & KTG

Question

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

Accepted Answer

$$\begin{array}{ll}
\mathrm{f}_1=3, & \mathrm{f}_2=5 \
\mathrm{n}_1=3, & \mathrm{n}_2=2
\end{array}$$
$$\begin{aligned}
& \mathrm{f}_{	ext {mixture }}=\frac{\mathrm{n}_1 \mathrm{f}_1+\mathrm{n}_2 \mathrm{f}_2}{\mathrm{n}_1+\mathrm{n}_2}=\frac{9+10}{\mathrm{f}}=\frac{19}{5} \
& \gamma_{	ext {mixture }}=1+\frac{2 	imes 5}{19}=\frac{29}{19}=1.52
\end{aligned}$$

Answer

1.35

Answer

1.52

Answer

1.40

Answer

1.75

Thermodynamics & KTG

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

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