# Kinetic energy of gas?

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Video answer: Average kinetic energy of a gas and root mean squareâ€¦

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- The kinetic energy of the translational motion of an ideal gas depends on its temperature. The formula for the kinetic energy of a gas defines the average kinetic energy per molecule. The kinetic energy is measured in Joules (J), and the temperature is measured in Kelvin (K).
**K = average kinetic energy per molecule of gas (J)**

Video answer: Chemistry of gases (32 of 40) kinetic energy of a gas molecule

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The kinetic energy of the translational motion of an ideal gas depends on its temperature. The formula for the kinetic energy of a gas defines the average kinetic energy per molecule. The kinetic energy is measured in Joules (J), and the temperature is measured in Kelvin (K). K = average kinetic energy per molecule of gas (J)

Kinetic Theory Of Gases. Kinetic theory of gases relates the macroscopic property of the gas, like â€“ Temperature, Pressure, Volume to the microscopic property of the gas, like â€“ speed, momentum, position. In this model, the atoms and molecules are continually in random motion, constantly colliding one another and the walls of the container within ...

Thus the kinetic energy per Kelvin of one mole of (monatomic ideal gas) is 3 [R/2] = 3R/2. Thus the kinetic energy per Kelvin can be calculated easily: per mole: 12.47 J / K; per molecule: 20.7 yJ / K = 129 Î¼eV / K; At standard temperature (273.15 K), the kinetic energy can also be obtained: per mole: 3406 J; per molecule: 5.65 zJ = 35.2 meV.

According to the kinetic molecular theory, the average kinetic energy of an ideal gas is directly proportional to the absolute temperature. Kinetic energy is the energy a body has by virtue of its motion: (2.6.1) K E = m v 2 2

The shape of the kinetic energy distribution is independent of the molar mass of the gas. When we consider a gas at increasing temperature: The Kinetic Energy distribution curve spreads and flattens out. The most probable kinetic energy increases (the peak shifts to the right).

According to the kinetic molecular theory, the average kinetic energy of gas particles is proportional to the absolute temperature of the gas. This can be expressed with the following equation where k represents the Boltzmann constant. The Boltzmann constant is simply the gas constant R divided by the Avogadroâ€™s constant (NA).

At higher temperatures, due to larger average kinetic energies, the internal energy becomes positive, E internal < 0. In this case, molecules have enough energy to escape intermolecular forces and become a gas.

The total kinetic energy (including translational, rotational and vibrational) of a given molecule of a polyatomic gas is: K = f 2 k b T Where f is the number of degree of freedom of the molecule. K = 3 2 k b T