why is it that on the moon, all gas molecules released on its surface would eventually escape?
I know that gas molecules move randomly and you will always get some that have sufficient velocity (kinetic energy) to escape the moon, but how exactly do these molecules gain energy? do they just keep bouncing around until they have enough kinetic energy to escape?
but how would that explain the idea that energy kinetic energy must be conversed for ideal gas?
If there is a fixed amount of gas on the surface of the moon, and some happen to already have enough velocity to escaped the moon completely, there would be a loss of kinetic energy from that original cluster of gas, so hows does every gas molecule eventually gain enough energy (seemingly from nowhere) that enables them all to have enough velocity to escape the moon?