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At what temperature will the RMS velocit...

At what temperature will the RMS velocity of `SO_(2)` be the same as that of `O_(2)` at 303 K?

A

`327^(@)C`

B

`127^(@)C`

C

`54^(@)C`

D

`227^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A

`mu ( SO)_(2) = sqrt(( 3RT)/( 32))`
`mu ( O_(2)) = sqrt(( 3R xx 300)/( 64))`
`sqrt(( 3RT)/( 64)) = sqrt(( 3R xx 300)/( 32))`
or `T = 600 K = 327^(@)C`
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