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What is the ratio of r.m.s. speed of Oxy...

What is the ratio of r.m.s. speed of Oxygen and Hydrogen molecules at the same temperature?

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The r.m.s. speed of oxygen molecules at temperature T is
`C_("oxy") = sqrt((3RT)/(M_0)) = sqrt((3RT)/(32))`
The r.m.s speed of Hydrogen molecules at same temperature (T) is
`C_(H) = sqrt((3RT)/(M_H))` But molecular weight of hydrogen = 2
`:. C_(H) = sqrt((3RT)/2)`
Ratio of r.m.s. speed of Oxygen and Hydrogen molecules is
`(C_("oxy"))/(C_H) = (sqrt((3RT)/(32)))/(sqrt((3RT)/(2)))= sqrt((3RT)/(32)xx(2)/(3RT)) = 1/(sqrt(16))`
`:. C_("oxy") : C_(H) = 1:4`.
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