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At what temperature , will the rms speed...

At what temperature , will the rms speed of oxygen molecules be sufficient for escaping from the earth ? Take `m = 2.76 xx 10^(-26) kg, k = 1.38 xx 10^(-23) J//K and v_(e) = 11.2 km//s`.

A

`1.254xx10^(4)K`

B

`2.508xx10^(4)K`

C

`5.016xx10^(4)K`

D

`8.360xx10^(4)K`

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(es)=V_(rms)`
`11.2xx10^(3)=sqrt((3k_(B)T)/(m))`
`implies T = ((11.2xx10(3))^(2)m)/(3K_(B))`
Putting value of `m` and `k_(B)`
`T = 8.360xx10^(4)K`.
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