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Question

Physics Question on Kinetic molecular theory of gases

The number of air molecules per cm3 increased from 3 × 1019 to 12 × 1019. The ratio of collision frequency of air molecules before and after the increase in the number respectively is :

A

0.25

B

0.75

C

1.25

D

0.50

Answer

0.25

Explanation

Solution

Collision frequency is given by 𝑍 = 𝑛𝜋𝑑 2𝑉𝑎𝑣𝑔, where n is number of molecules per unit volume.
𝑍1/ 𝑍2 = 𝑛1 /𝑛2 = 3/ 12 = 1/ 4 = 0.25