Ideal Gas Pressure Calculator
Solve for gas pressure using the ideal gas law from moles, volume, and temperature.
Solving for Pressure With the Ideal Gas Law
When you know how much gas is present, the volume it occupies, and its temperature, you can solve for pressure. Lab workers, process engineers, and students rearrange the ideal gas law to find container pressure before opening a valve or sizing equipment.
Pressure Formula
Rearranging \(PV = nRT\) gives:
$$P = \frac{nRT}{V}$$Use \(n\) in moles, \(T\) in kelvin, and \(V\) in cubic meters. With \(R = 8.314\ \text{J mol}^{-1}\text{K}^{-1}\), the result is in pascals. One mole of an ideal gas at 273.15 K in 22.414 L exerts about 101,325 Pa, or 1 atm.
Unit Notes
Volume must be converted from liters to cubic meters by dividing by 1000. Temperature must always be absolute (kelvin), not Celsius.
Related tools: Ideal Gas Law Calculator, Ideal Gas Temperature Calculator, and Ideal Gas Volume Calculator.
Frequently Asked Questions
What are the default inputs based on?
One mole at 273.15 K in 22.414 L is the molar volume of an ideal gas at standard temperature. That combination yields 101,325 Pa, or 1 atm.
Why must volume be in liters here?
This tool accepts liters for convenience and converts internally to cubic meters. Always check unit labels before entering values.
Can pressure be negative?
No. Negative moles, volume, or temperature are not physical. The calculator returns no result when any input is zero or invalid.
How do I convert pascals to atm?
Divide pascals by 101,325. The result panel also shows pressure in atmospheres alongside pascals.
Does this work for mixtures?
For ideal gas mixtures, use total moles of all components. Partial pressures add to the total when volumes and temperatures match.
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