Question: why do all molecules have the same kinetic energy? KE=1/2mv^2 ; lighter molecules have less mass but they move faster such that their average KE

why do all molecules have the same kinetic energy? KE=1/2mv^2 ; lighter molecules have less mass but they move faster such that their average KE stays the same. can you show mathematically that the kinetic energy is the same? a way to plug in molecular mass and temperature and get out the velocity of the molecule?

***gas molecules

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