Total random kinetic energy of all the molecules in one mole of hydrogen at temperature of 300 K is 3741.3 J. Speed with which a mole of hydrogen have to move so that kinetic energy of the mass is equal to the total random kinetic energy of its molecules is 7482.6 m/s
According to kinetic theory, average kinetic energy of gas molecules depends on the absolute temperature. At given temperature, molecules of all the gases have same average kinetic energy".
Kinetic energy = 3/2 * R T
= 3/2 * 8.314 * 300
= 3741.3 J
KE = 1/2 * m v²
v² = 2 KE/m
= 2* 3741.3 /1
Speed = 7482.6 m/s
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