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Average Kinetic Energy of a Gas Particle Calculator

🔥 Heat & thermodynamics. Use the Average kinetic energy of a gas particle formula to find average kinetic energy, temperature: pick the value you want, type the others, and the answer updates as you go.

Eˉk=32kT\bar{E}_k = \tfrac{3}{2}kT

k = Boltzmann constant. Temperature is a measure of average particle energy.

Average kinetic energy6.07 × 10⁻²¹ J

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Average kinetic energyJ
TemperatureK

Worked example

Find the average kinetic energy when Temperature = 293 K.

Using Ek = 3/2kT: Average kinetic energy = 6.07 × 10⁻²¹ J.

Frequently asked questions

What is the formula for Average kinetic energy of a gas particle?

Ek = 3/2kT. k = Boltzmann constant. Temperature is a measure of average particle energy.

What do the letters stand for, and what units are used?

Average kinetic energy in J, Temperature in K.

How do you calculate average kinetic energy?

Put the values into Ek = 3/2kT. For example, with Temperature = 293 K, average kinetic energy = 6.07 × 10⁻²¹ J.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (average kinetic energy, temperature) and fill in the others: it rearranges the formula for you.

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