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At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at `47^(@)C`?A. `80K`B. `-73K`C. `3K`D. `20K`

Answer» Correct Answer - D
`V_("rms") = sqrt((3RT)/(M))`
Where `T` is the temperature of the gas molecules in kelvin and `M` is the molecules mass of the gas
`V_(H_(2))= V_(O_(2)) implies sqrt((T_(H_(2)))/(M_(H_(2)))) = sqrt((T_(O_(2)))/(M_(O_(2)))) implies (T_(H_(2)))/(2) = (320)/(32) implies T_(H_(2)) = 20K`


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