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  • The mean free path for the collision of Nitrogen molecules at STP is 

The mean free path for the collision of Nitrogen molecules at STP is 6.44\times 10^{-6 }cm . What is the mean time interval between collisions?

R=8.31\times 10^{7 } erg/molK, Molecular mass of Nitrogen = 28

 

Option: 1

\text 1.306 \times 10^{-10}


Option: 2

\text 1.306 \times 10^{10}


Option: 3

\text 2.306 \times 10^{-10}


Option: 4

None of these


Answers (1)

best_answer

\text { rms speed, } c=\sqrt{\frac{3 R T}{M}}=\sqrt{\frac{3 \times 8.31 \times 10^7 \times 273}{28}} \mathrm{~cm} / \mathrm{s}

Mean time interval between collisions =\frac{\text { mean free path }}{\text { rms velocity }}

\begin{aligned} & =6.44 \times 10^{-6} \times \sqrt{\frac{28}{3 \times 8.31 \times 10^7 \times 273}} \\ & =1.306 \times 10^{-10} \mathrm{~s} \end{aligned}

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chirag

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