Dalton's Partial Pressure Calculator

Apply Dalton's law to split a gas mixture into the partial pressure and mole fraction of each component from the total pressure and moles. Free.

Frequently Asked Questions

What is the law of partial pressures?

The law of partial pressures states that the total pressure of a mixture of non-reacting gases equals the sum of the partial pressures each gas would exert if it occupied the container alone.

How is a partial pressure calculated?

The partial pressure of a gas equals its mole fraction, its share of the total moles present, multiplied by the total pressure of the mixture.

What is mole fraction?

The mole fraction of a gas is the moles of that gas divided by the total moles of all gases in the mixture, a value between 0 and 1. In a mixture of 2 mol O2 and 3 mol N2, the mole fraction of O2 is 2/5 = 0.4. Multiplying the mole fraction by the total pressure gives that gas's partial pressure, and all mole fractions in a mixture add up to 1.

How do I correct for water vapor when collecting a gas over water?

When you collect a gas by bubbling it into an inverted container filled with water, the gas mixes with water vapor, so the measured total pressure includes both. By Dalton's law the pressure of the dry gas is the total pressure minus the vapor pressure of water at that temperature: P(gas) = P(total) - P(water). At 25 C the vapor pressure of water is about 23.8 mmHg (3.17 kPa), so you subtract that value to get the true partial pressure of the gas collected. A vapor-pressure table gives the figure to subtract at each temperature.

Can I find the moles of a gas from its partial pressure?

Yes. Rearranging Dalton's law, a gas's mole fraction equals its partial pressure divided by the total pressure, and multiplying that fraction by the total moles gives the moles of that gas. For example, a gas with a partial pressure of 4 atm in a 10 atm mixture containing 5 mol overall has a mole fraction of 4/10 = 0.4 and accounts for 0.4 x 5 = 2 mol. You can also get the moles directly from the ideal gas law, n = PV/RT, using the partial pressure as P.

Important Disclaimer: Estimates for informational purposes only.

This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.