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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

`5.016xx10^(4)` K

B

`8.360xx10^(4)K`

C

`2.508 xx 10^(4)` K

D

`1.254xx 10^(4)K`

Text Solution

Verified by Experts

The correct Answer is:
B
`V_("escape") =11200 ` m/s
Say at temperature T it attains `V_("escape")`
So, `sqrt((3K_(B)T)/(m_(O_(2))))=11200` m/s
On solving ,
`T=8.360xx10^(4)` K
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