How is the temperature of a body related to the speed of movement of its molecules?
September 2, 2021 | education
| According to the basic equation of the molecular kinetic theory of gas, the average kinetic energy Ek (cf) of the translational motion of molecules is determined by the formula: Ek (cf) = 3 * k * T / 2, where k is the Boltzmann constant, T is the absolute temperature.
The average kinetic energy of the translational motion of molecules is determined by the formula: Ek (avg) = m * Vav ^ 2/2, where m is the mass of the molecule, Vav is the mean square velocity of movement.
m * Vav ^ 2/2 = 3 * k * T / 2.
T = m * Vcr ^ 2/3 * k.
It can be seen from the formula that the absolute temperature T is directly proportional to the square of the average velocity of the translational motion of the molecules.
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