Calculate the value of mean free path ($\lambda$) for oxygen molecules at temperature 27$^\circ$C and pressure 1.01 $\times$ 105 Pa. Assume the molecular diameter 0.3 nm and the gas is ideal. (k = 1.38 $\times$ 10$-$23 JK$-$1)
Solution
${I_{mean}} = {{RT} \over {\sqrt 2 \pi {d^2}{N_A}P}}$<br><br>$$ = {{1.38 \times 300 \times {{10}^{ - 23}}} \over {\sqrt 2 \times 3.14 \times {{(0.3 \times {{10}^{ - 9}})}^2} \times 1.01 \times {{10}^5}}}$$<br><br>$= 102 \times {10^{ - 9}}$ m<br><br>$= 102$ nm
About this question
Subject: Physics · Chapter: Thermodynamics · Topic: Zeroth and First Law
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