when can molecules average velocity be same as escape velocity?
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Mass of Oxygen molecule, M = 2.76x10^-26 kg
Boltzmann constant, k= 1.38x10^-23 J/K
Escape velocity, v= 11.2x10^3 m/s
Rms velocity = (3kT/M)^1/2
Rms velocity = (3 x 1.38x10^-23 x T/2.76 x 10^-26)^1/2 = 11.2x10^3
Squaring both sides,
3 x 1.38x10^-23 J/K x T/2.76 x 10^-26 kg = 1.25x10^8 m/s
T=1.25x10^8 m/s x 2.76x10^-26 kg /3 x 1.38x10^-23 J/K
Solving the above equation you’d get,
T = 8.3 x 10^4 K
Has9:
what happens if the average velocity exceeds the escape velocity?
you won't break free of its gravitational well Any powered craft can move at any speed, and escape the gravity of any object
didn't get it mate. what if the avg. velocity of a molecule exceeds the Ve. will the atmosphere collapse or something?
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