how does the total translational kinetic energy of all molecules in an ideal gas depend on the temperature?

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22-11-2022
Physics

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how does the total translational kinetic energy of all molecules in an ideal gas depend on the temperature?

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OneeRa OneeRa · Answer 1 · 2022-11-25T11:31:09+01:00

The total translational kinetic energy is directly proportional to the temperature of gas. The higher the temperature, the greater the total translational kinetic energy of all molecules in an ideal gas.

How to find the translational kinetic energy?

In an ideal gas, the translational kinetic energy can be counted by the following equation.

E = 3/2 kT

Where

E = translational kinetic energy (J)
k = Boltzmann constant (1.381 × 10⁻²³.m².kg.s⁻².K⁻¹)
T = temperature of gas (K)

That is the energy per particle. If there are N particles of gases, the formula would be:

E = 3/2 NkT

Where

N = number of gas particles

Thus, the total translational kinetic energy of all molecules in an ideal gas can be counted by the formula E = 3/2 NkT. It means that the kinetic energy is directly proportional to the temperature of gas.

Learn more about translational kinetic energy here:

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