Question

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 : 

(1) Statement I is false but Statement II is true. 

(2) Statement I is true but Statement II is false. 

(3) Both Statement I and Statement II are false 

(4) Both Statement I and Statement II are true.

Comments

Good question

Answer 1

Correct option is :  (4) Both Statement I and Statement II are true. 

\( \text { State }-1 \text { : Mean free path } \lambda=\frac{1}{\sqrt{2} \pi \mathrm{d}^2 \mathrm{n}}\)  

\(\text { using } \mathrm{d}=2 \mathrm{r} \) 

\(\lambda= \frac{1}{4\sqrt{2}\pi r^2n}\) 

\(\lambda \propto \frac{1}{\mathrm{r}^2} \) 

\( \text { State }-2: \quad \mathrm{E}=\frac{3}{2} \mathrm{kT}\)  

\(\mathrm{E} \propto \mathrm{T}\)