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Partial Pressure Calculator

Result

21.278kPa

Result: 21.278 kPa

Dalton's law: a gas contributes its mole fraction of the total pressure. Oxygen at a mole fraction of 0.21 in air at 101.325 kPa has a partial pressure of 21.278 kPa. The mole fraction has no unit, so the answer comes back in whatever pressure unit you entered.

The numbers at a glance

Held fixed: Mole fraction x (0 to 1) 0.2100.

Total pressure (kPa) (kPa)Result (kPa)
0.0000.000
50.00010.500
100.00021.000
101.325Your value21.278
150.00031.500
200.00042.000

Worked examples

How it's calculated

P_i = x × P_total

  1. StepEnter the mole fraction of the gas — its share of all the molecules, from 0 to 1.
  2. StepEnter the total pressure of the mixture; sea-level air is 101.325 kPa.
  3. ResultRead the partial pressure in the same unit as the total.

Reference table

Mole fraction, total pressureThe gasPartial pressure in kPa
0, 101.325a gas that is not in the mixture0.000
0.21, 101.325oxygen in dry air at sea level21.278
0.78, 101.325nitrogen in dry air at sea level79.034
0.5, 200half of a mixture at 200 kPa100.000
1, 101.325a pure gas — the whole pressure101.325

Questions

How do I calculate a partial pressure?

Multiply the mole fraction of the gas by the total pressure of the mixture: P_i = x × P_total. Oxygen at x = 0.21 in air at 101.325 kPa gives 21.278 kPa.

What is Dalton's law of partial pressures?

The total pressure of a mixture of non-reacting gases is the sum of the pressures each gas would exert alone. That is the same as saying every gas takes its mole fraction of the total, so all the partial pressures add back up to it.

What is the mole fraction here?

The moles of that one gas divided by the total moles of all gases, a number between 0 and 1. Dry air is about 0.78 nitrogen and 0.21 oxygen.

Which pressure unit does the answer use?

The one you entered, because the mole fraction is dimensionless. Standard atmospheric pressure is 101.325 kPa, which is 1 atm or 760 mmHg.

Sources and last check

  1. chem.libretexts.org

Information, not professional advice.