Question

Consider a sample of oxygen at 300 K. Find the average time taken by a molecule to travel a distance equal to the diameter of the earth.

Use R=8.314 JK^-1 mol^-1

Answer 1

Here,

\[ V_{avg}  = \frac{\sqrt{8RT}}{\sqrt{\pi M}} = \frac{\sqrt{8 \times 8 . 314 \times 300}}{\sqrt{3 . 14 \times 0 . 032}}\] 

\[ = 441 . 44 \text { m/s }\] 

We know

\[T = \frac{\text { Distance }}{\text { Speed }} = \frac{6400000 \times 2}{441 . 44}\] 

\[ = \frac{28996.01  h}{3600}=8.054h=8h\]