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The average speed of molecules of oxygen gas is 450 m/s. If the mean free path is 1.1 × 10-7 m, then the average number of collisions per second is

a
9.1×107
b
4.1×108
c
4.1×109
d
4.1×1012

detailed solution

Correct option is C

vav=450  m/s;λ=1.1×10−7m.We know that λ¯=vrmscollision frequency=vav0.9213×collision frequency[Since vav=0.9213×vrms1.1×10−7=4500.9213×collision frequencyCollision frequency =4500.9213×1.1×10−7=450×1070.9213×1.1=4.44×109s−1≅4.1×109

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