The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are and 600 m/s, respectively. Find the frequency of its collisions. [2025]

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Solution

Q.
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. [2025]

1 $2 \times 10^{10} / s$

2 $9 \times 10^{5} / s$

3 $2 \times 10^{9} / s$

4 $5 \times 10^{2} / s$

Ans.
(3)

Frequency of collision $= \frac{average speed}{mean free path}$

$= \frac{600}{3 \times 10^{- 7}} = 2 \times 10^{9} / s$

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