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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKTGMedium2 minQB

PhysicsMediumsingle choice

What is the fraction of molecules below an altitude h in the atmosphere? Assume uniform gravitational field, isothermal conditions, mass of a molecule m, Boltzmann constant k, temperature T.

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Answer:

Solution:

$P_{h} = P_{0} e^{- m g h / k T}$ with $P_{0} = \frac{m _{\infty} g}{A}, P_{h} = \frac{( m _{\infty} - m _{h} ) g}{A}$ . So $\frac{m _{h}}{m _{\infty}} = \frac{n _{h}}{n _{\infty}} = 1 - e^{- m g h / k T}$ .

Stream:JEESubject:PhysicsTopic:Heat & ThermoSubtopic:KTG

⏱ 2mℹ️ Source: QB

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