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Determine the gas temperature at which ...

Determine the gas temperature at which
(a) the root mean square velocity of hydrogen molecules exceeds their most probable velocity by `Delta v = 400 m//s` ,
(b) the velocity distribution function `F (v)` for the oxygen molecules will have the maximum value at the velocity `v = 420 m//s`.

A

384K

B

342K

C

300K

D

280K

Text Solution

Verified by Experts

The correct Answer is:
A
`v_(rms)-v_(P)=(sqrt(2)-sqrt(2))sqrt((RT)/(M))=Deltav`
`thereforeT=(M)/(R)((Deltav)/(sqrt(3)-sqrt(2)^(2)))=384k`
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