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At what temperature most probable speed ...

At what temperature most probable speed of `O_(2)` molecules have the same value of root mean square speed of `O_(2)` molecules at `300 K`?

A

`150 K`

B

`600 K`

C

`750 K`

D

`450 K`

Text Solution

Verified by Experts

The correct Answer is:
D
`(U_(MP))/(U_(rms))=sqrt(((2RT_(1))/(M))/((3RT_(2))/(M)))=sqrt((2T_(1))/(3T_(2)))implies (2)/(3)(T_(1))/(T_(2))=1`
`T_(1)=(3)/(2)xx300= 450K`
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