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  • Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon ( atomic radius 0.1 nm, atomic weight 140) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to : Op

Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon ( atomic radius 0.1 nm, atomic weight 140) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to :
Option: 1 4.67
Option: 2  2.3
Option: 3  1.83
Option: 4 1.07
 

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best_answer

 

 

Mean free time =\frac{1}{\sqrt{2n}_{n}d^{2}v_{ms}}

\frac{t_{Ar}}{t_{xe}}=\frac{d^{2}_{xe}}{d^{2}_{Ar}}\times \sqrt{\frac{m_{1}}{m_{2}}}

=\left ( \frac{0.1}{0.07} \right )^{2}\times \sqrt{\frac{40}{140}}

=\left ( \frac{10}{7} \right )^{2}\times \sqrt{\frac{2}{7}}=1.07

 

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avinash.dongre

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