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  4. Calculate the value of mean free path (λ) for oxygen molecules at temperature 27° C and pressure 1.01 × 105 Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. ( k =1.38 × 10-23 JK -1)

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Q. Calculate the value of mean free path $(\lambda)$ for oxygen molecules at temperature $27^{\circ} C$ and pressure $1.01 \times 10^{5} Pa$. Assume the molecular diameter $0.3\,\,nm$ and the gas is ideal. $\left( k =1.38 \times 10^{-23} JK ^{-1}\right)$

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Solution:

$\lambda=\frac{ RT }{\sqrt{2} \pi d ^{2} N _{ A } P }$
$\lambda=102\,\,nm$