At what temperature will the average velocity of oxygen molecules be sufficient so as to escape from the earth ? Escape velocity of earth is 11.0 kms^(-1) and mass of one molecule of oxygen is 5.34xx10^(-26) kg. Boltzmann constant =1.38xx10^(-23) " J molecule"^(-1) K^(-1) .

At what temperature will the average velocity of oxygen molecules be s

1.	At what temperature will the average velocity of oxygen molecules be sufficient so as to escape from the earth ? Escape velocity of earth is 11.0 kms^(-1) and mass of one molecule of oxygen is 5.34xx10^(-26) kg. Boltzmann constant =1.38xx10^(-23) " J molecule"^(-1) K^(-1) .
Answer» SOLUTION :For the MOLECULE to just escape from the earth, AVERAGE KINETIC energy of the molecule at temperature T = Escape energy of the molecule. (or) `3/2k_BT=1/2mv_e^2` `T = (mv_e^2)/(3k_B)` `=(5.34xx10^(-26)xx(11.0xx10^3)^2)/(3xx1.38xx10^(-23))` `= 1.56xx10^5 K`.