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A 25xx10^(-3)m^(3) volume cylinder is fi...

A `25xx10^(-3)m^(3)` volume cylinder is filled with 1 mol of `O_2` gas at room temperature (300 K).The molecular diameter of `O_2`, and its root mean square speed, are found to be 0.3 nm and `200 m//s`, respectively.What is the average collision rate (per second) for an `O_2` molecule ?

A

`~10^(13)`

B

`~10^(10)`

C

`~10^(12)`

D

`~10^(11)`

Text Solution

Verified by Experts

The correct Answer is:
B
Collision frequency = `sqrt((8kT)/( pi m)).(sqrt2 pi d^2 N_AP)/(RT)`
`=sqrt((8)/(pi) xx (25)/(3) . (300)/(32))(sqrt2 pi xx 9 xx 10^(-20) xx 6.023 xx 10^(23) xx 10^5)/((25)/(3)xx300)`
`=135.8 xx 10^6s^(-1)~~ 10^(10)`
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