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For oxygen gas at 27^(@)C and 1 atm pres...

For oxygen gas at `27^(@)C` and 1 atm pressure, calculate
The number of collisions per cubic metre per second. The collision diameter of oxygen molecule is 361 picometre.

Text Solution

Verified by Experts

Number of collisions per second per molecule, `Z_(11)= (pi d^(2) lt c gt P^(2))/(sqrt(2) (kT)^(2))`
`=((3.1416)(3.61xx 10^(-10)m)^(2)(447.0 ms^(-1))(1.01325 xx 10^(5)N m^(-2))^(2))/((1.4142)(1.38xx 10^(-23)JK^(-1))^(2)(300K)^(2))=7.75 xx10^(34)s^(-1)m^(-3)`.
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