Ideal Gas Law Calculator

The Ideal Gas Law Calculator will calculate:

Any of the missing gas parameter from pressure, volume and temperature when the other parameters are known.

Ideal Gas Law Calculator
What would you like to calculate?
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Calculator Precision (Decimal Places)
(P) Pressure of gas(V) Volume of gas(T) Temperature of gas
Gas pressure (P) Pa
Gas volume (V) m³
Molar mass of gas (M) kg/mol
Mass of gas (m) kg
Ideal gas constant (R) J/mol∙K
Temperature of ideal gas (T) K

Calculation Restrictions: The gas inside the cylinder is considered as ideal, the piston slides without friction along the cylinder.

Ideal Gas Law Calculator Results (detailed calculations and formula below)
Gas Temperature of ideal gas calculation

T = **P × V × M/m × R** T = × × / × T = / T =
Gas Pressure of ideal gas gas calculation
P = **T × m × R/V × M** P = × × / × P = / P =
Gas Volume of ideal gas gas calculation
V = **T × m × R/P × M** V = × × / × V = / V =
Ideal Gas Law Calculator Input and calculated values
Gas pressure (P) Pa
Gas volume (V) m³
Molar mass of gas (M) kg/mol
Mass of gas (m) kg
Ideal gas constant (R) J/mol∙K
Temperature of ideal gas (T) K

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each ideal gas law calculation, the Ideal Gas Law Calculator will automatically calculate the results and update the Physics formula elements with each element of the ideal gas law calculation. You can then email or print this ideal gas law calculation as required for later use.

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Discover Physics with free Physics Revision Notes and Physics Calculator: Ideal Gas Law. This image shows the properties and ideal gas law formula for the Ideal Gas Law. The Ideal Gas Law Calculator will calculate any of the missing gas parameter from pressure, volume and temperature when the other parameters are known.

Gas Temperature of ideal gas Formula and Calculation

T = P × V × M/m × R

Gas Pressure of ideal gas Formula and Calculation

P = T × m × R/V × M

Gas Volume of ideal gas Formula and Calculation

V = T × m × R/P × M

This gas formulas above derive from the Ideal Gas Law:

P × V = n × R × T

Where n = m/M is the number of gas moles.

Thermodynamics Physics Tutorials associated with the Ideal Gas Law Calculator

The following Physics tutorials are provided within the Thermodynamics section of our Free Physics Tutorials. Each Thermodynamics tutorial includes detailed Thermodynamics formula and example of how to calculate and resolve specific Thermodynamics questions and problems. At the end of each Thermodynamics tutorial you will find Thermodynamics revision questions with a hidden answer that reveals when clicked. This allows you to learn about Thermodynamics and test your knowledge of Physics by answering the test questions on Thermodynamics.

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