The mass of O $_{2}$ molecule is 16 times that H $_{2}$ molecule. The rms velocity of O $_{2}$ molecule at room temperature C $_{r m s}$ . The rms velocity of H $_{2}$ molecule at the same temperature will be :

\frac{C_{r m s}}{16}

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\frac{C_{r m s}}{4}

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4 C_{r m s}

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16 C_{r m s}

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Solution

The correct option is A $4 C_{r m s}$
$C \propto \frac{1}{\sqrt{M}} ∴ \frac{C}{C_{r m s}} = \frac{\sqrt{M_{o x y g e n}}}{\sqrt{M_{h y d r o g e n}}} ∴ C = \sqrt{16} C_{r m s} C = 4 C_{r m s}$

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The mass of O2 molecule is 16 times that H2 molecule. The rms velocity of O2 molecule at room temperature Crms. The rms velocity of H2 molecule at the same temperature will be :

The correct option is A 4CrmsC∝1√M∴CCrms=√Moxygen√Mhydrogen∴C=√16CrmsC=4Crms

The mass of O $_{2}$ molecule is 16 times that H $_{2}$ molecule. The rms velocity of O $_{2}$ molecule at room temperature C $_{r m s}$ . The rms velocity of H $_{2}$ molecule at the same temperature will be :

The correct option is A $4 C_{r m s}$
$C \propto \frac{1}{\sqrt{M}} ∴ \frac{C}{C_{r m s}} = \frac{\sqrt{M_{o x y g e n}}}{\sqrt{M_{h y d r o g e n}}} ∴ C = \sqrt{16} C_{r m s} C = 4 C_{r m s}$