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The temperature at which hydrogen molecu...

The temperature at which hydrogen molecules will have the same root mean square velocity as oxygen molecules have at `127^(@)C` is `:`

A

1. `25^(@)C`

B

2. `7.93^(@)C`

C

3. `-248 ^(@)C`

D

4. `127^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
C
r.m.s. `( H_(2)) = sqrt(( 3RT)/( 2))`
r.m.s. `( O_(2)) = sqrt(( 3R xx 400)/( 32))` ( T = 273 + 127 = 400K )
`sqrt( ( 3RT)/( 2)) = sqrt(( 3R xx 400)/( 32))`
`( T )/( 2) = ( 400)/( 32)`
`:. T = ( 400 xx 2) /( 32) = 25K`
or `T = 25-273 = 248^(@)C`
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