Calculate the fraction of $\mathrm{N}_2$ molecules whose speeds are in the range of $\text{U}_{\text{mp}}$ to $\left(\text{U}_\text{mp}+\text{f} \times \text{U}_\text{mp}\right)?$

$\frac{2 \mathrm{f}}{\mathrm{e} \sqrt{\pi}}$

$\frac{\mathrm{f}}{\sqrt{\pi}}$

$\frac{\mathrm{f}}{\mathrm{2e} \sqrt{\pi}}$

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JEE CHEMISTRY MCQ: STATES OF MATTER

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Application +4 | -1

Calculate the fraction of

\mathrm{N}_2

molecules whose speeds are in the range of

\text{U}_{\text{mp}}

\left(\text{U}_\text{mp}+\text{f} \times \text{U}_\text{mp}\right)?

View answer and explanation

Correct option: A

\frac{4 \mathrm{f}}{\mathrm{e} \sqrt{\pi}}

Option A (4f / (e * sqrt(pi))) is correct because it represents the fraction of molecules within the specified speed range, derived from the Maxwell-Boltzmann distribution.

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