1. (Molecular Kinetic Theory) Nitrogen gas is contained in a vessel; the mass of a nitrogen molecule is 4.68x10-26 kg. Every second 5.0x1023 nitrogen molecules strike a wall of area 8.0 cm2. If the molecules move at the rms speed of 300 m/s and strike the wall in a head-on perfectly elastic collision, find the pressure exerted on the wall.

Question

1.	(Molecular Kinetic Theory) Nitrogen gas is contained in a vessel; the mass of a nitrogen molecule is 4.68x10-26 kg. Every second 5.0x1023 nitrogen molecules strike a wall of area 8.0 cm2. If the molecules move at the rms speed of 300 m/s and strike the wall in a head-on perfectly elastic collision, find the pressure exerted on the wall.

mos1635 · Answer

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P=F'/A
P=(-F)/A 
P=N*(-ΔP/Δt)*1/A 
P=N*(-Δ(m*v))/Δt *1/A 
P=(N/Δt)*m*(-Δv)*(1/A) 
(N/Δt)=Every second 5.0x1023 nitrogen 
Δv=-2*v