The temperature at which all molecular motion stops is

Zero Kelvin

Explanation:

The average kinetic energy of the particles in a gas is related to the absolute temperature of the gas by (for an ideal monoatomic gas):

where

k is the Boltzmann constant

T is the absolute temperature

The average kinetic energy is the energy possessed by the particles due to their motion; we see that this energy becomes zero when T = 0, which means when the substance reaches a temperature of zero Kelvin. Therefore, this means that at this temperature all the particles stop moving.

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