Ideal Gas Pressure Calculator

Q: 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: 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 . Multiply this result by the ideal gas constant (8.314 J⋅K -1 ⋅mol -1 ) to get 298.15 × 8.314 = 2,478.8191 . Divide this result by the gas volume in cubic meters to obtain the gas pressure as 2,478.8191 × 1000/10 = 247.89 kPa . Verify this result using our ideal gas pressure calculator.

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Krishna Sai is a mechanical engineer with a passion for math and physics. He creates calculators with the aim of helping students understand the mathematical concepts behind the calculation. With an interest in coding, Krishna has recently started learning programming and web development. He enjoys long walks, riding his motorcycle, and loves a good story. Someday, he aspires to write his own fantasy book. See full profile

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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 = nRT

where:

$p$ — Pressure of the ideal gas;
$V$ — Volume of the ideal gas;
$n$ — Number of moles of particles in the ideal gas;
$R$ — Ideal gas constant, equal to $8.314 \text{ J/mol}\cdot\text{K}$ ; and
$T$ — Temperature 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:

Multiply the gas temperature in Kelvin by the number of moles of particles in the gas.
Multiply this result by the ideal gas constant, equal to 8.314 J⋅K^-1⋅mol^-1.
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 expand the Calculating number of moles section of 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.

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FAQs

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:

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.
Multiply this result by the ideal gas constant (8.314 J⋅K^-1⋅mol^-1) to get 298.15 × 8.314 = 2,478.8191.
Divide this result by the gas volume in cubic meters to obtain the gas pressure as 2,478.8191 × 1000/10 = 247.89 kPa.
Verify this result using our ideal gas pressure calculator.