At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere (Given: Mass of oxygen molecule (m) = 2.76×10^-26kg, Boltzmann's constant kB= 1.38 ×10^-23 JK-1 )

Question:

At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth’s atmosphere (Given: Mass of oxygen molecule (m) = 2.76×10^-26kg) (Boltzmann’s constant kB= 1.38 ×10^-23 JK-1 )

Options :

(a) 2.508×10^4K
(b) 8.360×10^4K
(c) 5.016×10^4K
(d) 1.254×10^4K

Answer :

(b) 8.360×10^4K

Answer Steps :

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