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At what temperature will the average vel...

At what temperature will the average velocity of oxygen molecules be sufficient to escape from the earth. Given mass of oxygen molecule `= 5.34 xx 10^(-26) kg`. Boltzmann constant, `k = 1.38 xx 10^(-23) J "molecule"^(-1) K^(-1)`. Escape velocity of earth `= 11.0 km s^(-1)`.

A

` 5.016 xx 10^(4)K`

B

` 8.360 xx 10^(4)K`

C

` 2.508 xx 10^(4)K`

D

` 1.254 xx 10^(4)K`

Text Solution

Verified by Experts

The correct Answer is:
B
` V_(rms) = sqrt((3KT)/(m))`
`V_(rms) ` should be equal to escape speed
` 11.2 xx 10 ^(3) = sqrt((3KT)/(m))`
` T = 8.36 xx 10 ^(4) K`
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