Jupiter

k=1.38x10-23J/K

G=6.67x10-11Nm2kg-2

M=1.9x1027kg

T=300K (at high altitude, where the gas is escaping from).

r=7.1x107m

So the minimum mass is 3.5x10-28kg

This is less than the mass of even a hydrogen atom (1.67x10-27kg). So nothing can ever escape into space.

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