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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

403 K

B

303 K

C

606 K

D

273 K

Text Solution

Verified by Experts

The correct Answer is:
C
`u_(RMS) = sqrt(3RT//M)`
`(u_(O_(2)))/(u_(SO_(2))) = sqrt((T_(O_(2)) M_(SO_(2)))/(T_(SO_(2)) M_(O_(2))))`
`u_(O_(2)) = u_(SO_(2))`
`:. T_(O_(2)) M_(SO_(2)) = T_(SO_(2)) M_(O_(2))`
`303 xx 64 = T_(SO_(2)) xx 32`
`T_(SO_(2)) = 606 K`
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