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Continuous Probability Distribution - Escape Velocities of Hydrogen Molecules

The surface of the sun has a temperature of about 5800K and consists largely of hydrogen atoms.
We're given that the rms speed of a hydrogen atom at this temperature is 1.20*10^4m/s and the escape speed for a particle is 6.20*10^5m/s.

Can appreciable quantities of hydrogen escape from the sun? Can any hydrogen escape?

What fraction of the H atoms have v_z > 6.20*10^5m/s?