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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoThermodynamics Laws & Specific Heats of GasesMedium2 minQB

PhysicsMediuminteger

Find the ratio of the number of moles of a monoatomic and a diatomic gas whose mixture has an adiabatic exponent $γ = \frac{3}{2}$ .

Answer:

Solution:

For the mixture $C_{v} = \frac{R}{γ - 1} = 2 R$ since $γ = \frac{3}{2}$ . Then $\frac{n _{1} ( \frac{3}{2} ) R + n _{2} ( \frac{5}{2} ) R}{n _{1} + n _{2}} = 2 R$ , so $\frac{3}{2} n_{1} + \frac{5}{2} n_{2} = 2 n_{1} + 2 n_{2}$ , which gives $n_{1} = n_{2}$ . Ratio = $1$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Thermodynamics Laws & Specific Heats of Gases

⏱ 2mℹ️ Source: QB

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