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If \(V_H, V_N\) and \(V_O\) denote the root mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then:
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Verified Answer
The correct answer is:
\(V_H > V_N > V_O\)
\(\mathrm{V}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{KT}}{\mathrm{m}}}\)
\(\mathrm{m}=\) Molar Mass of molecule
Now, \(\mathrm{m}_{\mathrm{H}} < \mathrm{m}_{\mathrm{N}} < \mathrm{m}_{\mathrm{O}}\)
\(\therefore \mathrm{V}_{\mathrm{H}} > \mathrm{V}_{\mathrm{N}} > \mathrm{V}_{\mathrm{O}}\)
\(\mathrm{m}=\) Molar Mass of molecule
Now, \(\mathrm{m}_{\mathrm{H}} < \mathrm{m}_{\mathrm{N}} < \mathrm{m}_{\mathrm{O}}\)
\(\therefore \mathrm{V}_{\mathrm{H}} > \mathrm{V}_{\mathrm{N}} > \mathrm{V}_{\mathrm{O}}\)
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