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Calculate the temperature at Which the R...

Calculate the temperature at Which the RMS velocity of `SO_2` becomes equal to that of `O_2` at 303 K

A

`327^(@)C`

B

327 K

C

`32.7^(@)C`

D

32.7 K

Text Solution

Verified by Experts

The correct Answer is:
A

For `O_(2)` r.m.s. `= (3RT)/(M) = sqrt((3R xx 300)/(32))`
For `SO_(2)` r.m.s. `= sqrt((3RT)/(64))`
Since both the velocities are same
`:. Sqrt((3RT)/(64)) = sqrt((3 R xx 300)/(32))`
Solving, `T = 600 K`
`:. T = 600 - 273 = 327^(@)C`
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