NEET-XII-Physics
24: Kinetic Theory of Gases
- #15Consider 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.Ans : `` \,\mathrm{\,Here\,},``
`` {\,\mathrm{\,V\,}}_{\,\mathrm{\,avg\,}}=\frac{\sqrt{8\,\mathrm{\,RT\,}}}{\sqrt{\,\mathrm{\,\pi M\,}}}=\frac{\sqrt{8\times 8.83\times 300}}{\sqrt{3.14\times 0.032}}``
`` =445.25\,\mathrm{\,m\,}/\,\mathrm{\,s\,}``
`` ``
`` \,\mathrm{\,We\,}\,\mathrm{\,know\,},``
`` \,\mathrm{\,T\,}=\frac{\,\mathrm{\,Distance\,}}{\,\mathrm{\,Speed\,}}=\frac{6400000\times 2}{445.25}``
`` =\frac{28747.83h}{3600}=7.985h=8h``