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» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :For the <a href="https://interviewquestions.tuteehub.com/tag/molecule-563028" style="font-weight:bold;" target="_blank" title="Click to know more about MOLECULE">MOLECULE</a> to just escape from the earth, <a href="https://interviewquestions.tuteehub.com/tag/average-13416" style="font-weight:bold;" target="_blank" title="Click to know more about AVERAGE">AVERAGE</a> <a href="https://interviewquestions.tuteehub.com/tag/kinetic-533291" style="font-weight:bold;" target="_blank" title="Click to know more about KINETIC">KINETIC</a> energy of the molecule at temperature <br/> T = Escape energy of the molecule. <br/> (or) `3/2k_BT=1/2mv_e^2` <br/> `T = (mv_e^2)/(3k_B)` <br/> `=(5.34xx10^(-26)xx(11.0xx10^3)^2)/(3xx1.38xx10^(-23))` <br/> `= 1.56xx10^5 K`.</body></html>