Need to figure out if a planet can have a hydrogen atmosphere
The Attempt at a Solution
Ok so I would first find the escape velocity of the planet, than find the velocity of the molecule. I am given the mas of planet radius and the temperature.
I would just use ves to find escape velocity, but not sure about the hydrogen particles.
Would i just use Vrms? what would m =? for nitrogen its 28mp mp= mass of proton, but no idea where the 28 comes from.
also in my notes says
Tesc=1/54 (GMm/kR) than they do it for nitrogen on earth and get 3900k and than does it for the moon and gets 175 k and says this is why earth has a atmosphere and moon doesn't, but does not really explain wht the numbers mean. I know its temperature but how would i know if there is a atmosphere or not.