Q.

Given below are two statements:

 

Statement (I): The mean free path of gas molecules is inversely proportional to square of molecular diameter.

 

Statement (II): Average kinetic energy of gas molecules is directly proportional to absolute temperature of gas.

 

In the light of the above statements, choose the correct answer from the options given below:                   [2024]

1

Statement I is false but Statement II is true

 

2

Both Statement I and Statement II are true

 

3

Statement I is true but Statement II is false

 

4

Both Statement I and Statement II are false

 


Ans.

(2)   

        Statement 1: Mean free path

         λ=12πd2n using d=2r

        λ=142πr2nλ1r2

        Statement 2:

        E=32kTET