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Physics - Heat & Thermo Question with Solution | TestHub

PhysicsHeat & ThermoKinetic Theory of Gases and Gas LawsHard2 minQB

PhysicsHardnumerical

A spherical vessel of radius 10 cm holds nitrogen ( $M = 28$ ) at 300 K and $1 0^{5}$ Pa. Find the number of molecule-wall collisions per second in units of $1 0^{27}$ (two decimals). Use $\overset{v}{ˉ} = \frac{8 k T}{πm}$ .

Answer:

0.36

Solution:

$n = \frac{P}{k T} = 2.42 e + 25$ $m^{- 3}$ . $\overset{v}{ˉ} = 476$ m/s. Collisions per second = $\frac{1}{4} n \overset{v}{ˉ} \times 4 π r^{2} = 0.36 \times 1 0^{27}$ .

Subject:PhysicsTopic:Heat & ThermoSubtopic:Kinetic Theory of Gases and Gas Laws

⏱ 2mℹ️ Source: QB

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