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At what temperature is the root mean square velocity of gaseous hydrogen molecules is equal to that of oxygen molecules at `47^(@)C`?A. `20 k`B. `80 K`C. `- 73 K`D. `3 K`

Answer» Correct Answer - A
`(v_(rms))_(H_(2)) = (v_(rms))_(O_(2))`
`sqrt((3RT_(H_(2)))/((M_(0))_(H_(2)))) = sqrt((3 R T_(O_(2)))/((M_(0))_(O_(2))))`
`sqrt(T_(H_(2))/(2)) = sqrt(((273 + 47))/(32))`
`T_(H_(2)) = 20 K`


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