The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are 3×10^(-7)m

Question

The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are \(3 \times 10^{-7} \ m\) and \(600 \ m/s\), respectively. Find the frequency of its collisions.

(1) \(2 \times 10^{10}/s\)

(2) \(9 \times 10^{5}/s\)

(3) \(2 \times 10^9/s\)

(4) \(5 \times 10^8 /s\)

Answer 1

Correct option is : (3) \(2 \times 10^9/s\) 

Frequency \(= \frac{1}{T} = \frac {V_{avg}}{\lambda}\)

\(= \frac{600}{3 \times 157} = 2 \times 10^9 \sec^{-1}\)