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Calculate the temperature at which root mean square velocity of `SO_(2)` molecules is the same as that of `O_(2)` molecules at `127^(@)C`. Molecular weights of `O_(2) and SO_(2)` are 32 and 64 respectively.

A

`527^(@)C`

B

`800^(@)C`

C

`500^(@)C`

D

`627^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(rms)=sqrt((3RT)/(M))`
`V_(rms)=sqrt((3RT')/(M'))`
`V_(rms)=V'_(rms), T'=527^(@)C`
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