(a) what is the total random kinetic energy of all the molecules in one mole of hydrogen at a temperature of 300 k? (b) with what speed would a mole of hydrogen have to move so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules?

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15-12-2022
Chemistry

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(a) what is the total random kinetic energy of all the molecules in one mole of hydrogen at a temperature of 300 k? (b) with what speed would a mole of hydrogen have to move so that the kinetic energy of the mass as a whole would be equal to the total random kinetic energy of its molecules?

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tutorconsortium272 tutorconsortium272 · Answer 1 · 2022-12-20T12:30:01+01:00

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

What is kinetic energy of gas molecule?

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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