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At what temperature is the rms velocity ...

At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at `47^(@)C`?

A

80 K

B

`-73 K`

C

3 K

D

20 K

Text Solution

Verified by Experts

The correct Answer is:
D
`upsilon_(rms) = sqrt((3RT_(H))/(M_H)) = sqrt((3RT_("OXY"))/(M_("OXY"))`
`(T_H)/(M_H) = (T_("OXY"))/(M_("OXY"))`
or, `T_(H) = T_("OXY") (M_H)/(M_("OXY")) = (47+273) 2/32 = 320/16`
`= 20K`.
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