Ideal Gas Pressure Calculator

Created by Krishna Nelaturu
Reviewed by Adena Benn
Last updated: Jan 18, 2024


Our ideal gas pressure calculator is here to help you calculate pressure using the ideal gas law. If you're interested in learning about ideal gas or where this law applies, you've come to the right place. In this article, we shall briefly examine the ideal gas law and how to calculate pressure using the ideal gas law.

What is ideal gas law?

An ideal gas is a theoretical gas comprised of point-like particles with no intermolecular forces. Any collisions between gas particles must be perfectly elastic. This consideration provides a significant mathematical advantage since the ideal gas law describes the relationship between the gas's pressure, temperature, and volume:

pV=nRTpV = nRT

where:

  • ppPressure of the ideal gas;
  • VVVolume of the ideal gas;
  • nnNumber of moles of particles in the ideal gas;
  • RRIdeal gas constant, equal to 8.314 J/molK8.314 \text{ J/mol}\cdot\text{K}; and
  • TTTemperature of the ideal gas.

We can consider some real gases ideal around standard temperature and pressure (STP). Gases express ideal behavior at higher temperatures and lower pressures as the particles' kinetic energy will be high enough to make intermolecular forces negligible.

How do you calculate pressure using ideal gas law?

To calculate the gas pressure using the ideal gas law, follow these steps:

  1. Multiply the gas temperature in Kelvin by the number of moles of particles in the gas.
  2. Multiply this result by the ideal gas constant, equal to 8.314 J⋅K-1⋅mol-1.
  3. Divide this result by the gas volume in cubic meters to obtain the gas pressure.

How to use this ideal gas pressure calculator?

Our ideal gas pressure calculator is versatile and easy to use:

  • You can enter the volume V, the number of moles n, and temperature T, and this tool will automatically calculate pressure using the ideal gas law.

  • You can click on the advanced mode button in our ideal gas pressure calculator if you need to determine the number of moles n from the mass and molar mass of the gas. Learn how to do this using our mole calculator.

Other relevant calculators

We have more ideal gas law calculators for you to explore:

FAQ

What is the pressure of 1 mol of ideal gas occupying 10 liters at 25°C?

247.89 kPa or 2.47 bar. To calculate this value manually, follow these steps:

  1. Multiply the gas temperature in Kelvin (298.15 K) by the number of moles (1 mol) of particles in the gas to get 298.15.
  2. Multiply this result by the ideal gas constant (8.314 J⋅K-1⋅mol-1) to get 298.15 × 8.314 = 2,478.8191.
  3. Divide this result by the gas volume in cubic meters to obtain the gas pressure as 2,478.8191 × 1000/10 = 247.89 kPa.
  4. Verify this result using our ideal gas pressure calculator.
Krishna Nelaturu
Escape velocity equation
Volume (V)
cu ft
Amount of substance (n)
mol
Temperature (T)
°F
Result
Pressure (p)
Pa
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