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Question

If N is the number of collisions per unit area per second which the molecules may make with the wall of the vessel. Find x such that x=N1026.

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Solution

The RMS velocity of particles will be

vrms=3RTM=3(8.314)30028X103=517m/s

Thus, momentum change per unit area per second will be

ΔpAΔt=P

Assuming collision to be elastic, the molecules will return with the same speed. Hence,

N2mvrmsAΔt=P

NAΔt=P2mvrms

NAΔt=2X105(6.022X1023)2(28X103)(517)=4.2X1027

Answer is 4.2X1027

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