Multiple choice

At what temperature will the root mean square velocity of oxygen molecules be sufficient, so as to escape from the earth?

  1. 1.6 x 105 K

  2. 28.63 K

  3. 14.31 K

  4. 21.47 K

  5. 42.95 K

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

  (3/2)KT = (1/2)mve2 Where ve = escape velocity of earth = 11.1 km/s K = 1.38 x 10-23 m = mass of 1 molecules of oxygen = 5.34 x 10-26 T  = (mve2/3K)     = 5.34 x 10-26(11.1 x 103)2/3 x 1.38 x 10-23     = 1.6 x 105 K