Calculate the value of mean free path ( ) for oxygen molecules at… - Vidyadip

MCQ

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. $\left( k =1.38 \times 10^{-23}\, J\,K ^{-1}\right)$ (in $nm$)

A
$58$
B
$32$
C
$86$
✓
$102$

✓

Answer

Correct option: D.

$102$

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

$\lambda=102\, nm$

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