QJEEM24Pha724: JEE Main 2024 Physics - Class 11 JEEM24Pha724 Solution: If three moles of monoatomic gas ( γ = 5 3 ) is mixed with two…

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QJEEM24Pha724: JEE Main 2024 Physics - Class 11 JEEM24Pha724 Solution: If three moles of monoatomic gas ( γ = 5 3 ) is mixed with two…

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

Multiple Choice Options

A 1.35
B 1.52
C 1.4
D 1.75

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Accepted Answer

$\begin{array}{ll} f_{1} = 3, & f_{2} = 5 \\ n_{1} = 3, & n_{2} = 2 \end{array}$

$\begin{aligned} f_{mixture} = \frac{n_{1} f_{1} + n_{2} f_{2}}{n_{1} + n_{2}} = \frac{9 + 10}{f} = \frac{19}{5} \\ γ_{mixture} = 1 + \frac{2 \times 5}{19} = \frac{29}{19} = 1.52 \end{aligned}$

QJEEM24Pha724: JEE Main 2024 Physics - Class 11 JEEM24Pha724 Solution: If three moles of monoatomic gas ( γ = 5 3 ) is mixed with two…

Multiple Choice Options

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