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 xx 10^(-26) kg , Boltzmann's constant k_B = 1.38 xx 10^(-23) JK^(-1) )

At what temperature will the rms speed of oxygen molecules become just

1.	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 xx 10^(-26) kg , Boltzmann's constant k_B = 1.38 xx 10^(-23) JK^(-1) )
Answer» `1.254xx10^(4)K` `2.508 xx10^(4)K` `5.016 xx10^4K` `8.360 xx10^4K` Solution :`v_e = SQRT((3k_BT)/m)` `:. v_e^2=(3k_BT)/m` `:. T = (v_E^2)/(3k_B)` `:. T = ((11.2xx10^3)^2 xx2.76 xx10^(-26))/(3xx1.38 xx 10^(-23))` `:. T = 83.626 xx10^3` `= 8.363 xx10^4 K` `:. T ~~ 8.360 xx 10^4 K` (Approx)