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Kinetic Theory Of Gases Calculator

Work out kinetic theory of gases instantly with clear inputs, formula shown and shareable results.

About Kinetic Theory Of Gases Calculator

Kinetic theory identifies temperature with molecular motion: the average translational kinetic energy is 1.5kT, independent of the gas. At 300 K that is 6.21e-21 J, or 0.0388 eV - the origin of the kT/e = 25.9 mV thermal voltage in semiconductors. Pressure follows as NkT/V, the microscopic form of the ideal gas law.

Formulas

Average kinetic energy

KE = 1.5 k T per molecule

Pressure

P = N k T / V

Worked example

With the default values below, Kinetic Theory Of Gases Calculator returns Average Kinetic Energy Per Molecule of 6.21292 × 10⁻²¹. Change any input above and every figure here is recalculated in your browser.

Inputs used

Temperatureminimum 0 K
300 K
Number of moleculesminimum 0
100,000,000,000,000,000,000,000
Container volumeminimum 0 m3
0.01 m3

Results

Average Kinetic Energy Per Molecule
6.21292 × 10⁻²¹ J
Pressure Exerted
41,419.5 Pa
Same Energy In Electronvolts
0.03878 eV
Total Translational Energy
621.29 J

Step by step

  1. 1Values used
  2. 2Average kinetic energy
  3. 3Pressure
  4. 4Average Kinetic Energy Per Molecule= 0.00000 J
  5. 5Pressure Exerted= 41,419.5 Pa
  6. 6Same Energy In Electronvolts= 0.03878 eV
  7. 7Total Translational Energy= 621.29 J

Assumptions and limits

  • The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 5 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Why is kinetic energy independent of the gas?

Because temperature is defined by energy per degree of freedom. Heavier molecules simply move more slowly to carry the same energy.

Where does kT appear elsewhere?

Everywhere in statistical physics - Boltzmann factors, diode equations, reaction rates. At room temperature kT is about 25.7 meV.

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