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At what temperature the most probable ve...

At what temperature the most probable velocity of `O_(2)` gas is equal to the RMS velocity of `O_(3)` at 't'°C?

A

`(273 +t) sqrt(3/2 K)`

B

`(273 + t)sqrt(2/3 K)`

C

`(273 + t) K`

D

`3/2 (273 + t ) K`

Text Solution

Verified by Experts

`(U_(mp))_(O_2) = (U_(rms))_(O_3)`
`= sqrt((2RT_2)/(32)) = sqrt((3r(t + 273))/(48))`
`(2T_2)/(32) = (3(t+273))/(48) implies t_2 = (t + 273)k`.
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