For any given ideal gas at a particular fixed temperature, the exact mathematical ratio of its root — States of Matter and Gaseous State Chemistry Question
Question
For any given ideal gas at a particular fixed temperature, the exact mathematical ratio of its root mean square ($U_{rms}$) velocity to its average ($U_{avg}$) velocity is:
Answer: B
💡 Solution & Explanation
Formulas: $U_{rms} = \sqrt{3RT/M}$, $U_{avg} = \sqrt{8RT/\pi M}$. Ratio $U_{rms} : U_{avg} = \sqrt{3} : \sqrt{8/\pi} = 1.732 : 1.595 \approx 1.086 : 1$.
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