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Osmotic pressure calculator

Solve osmotic pressure, concentration or temperature using a particle factor and osmotic coefficient, with a mass-based concentration option.

Calculator

Osmotic pressure
249.434
Solute concentration
0.1
Temperature
300
Particle factor
1.000000
Osmotic coefficient
1.000000

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How this calculator works

Use the dilute-solution van t Hoff relation with a separate empirical osmotic coefficient. The concentration is for solute formula units before dissociation. A particle factor of two idealizes complete dissociation into two species; the osmotic coefficient represents additional departures from ideality. Avoid counting the same nonideality in both inputs. Mass mode uses final solution volume.

Formula

Pi = i phi c R T, with c in mol/m3, T in K and Pi in Pa.

Worked example

At 300 K, c = 100 mol/m3, i = 1 and phi = 1 give Pi = 249433.8785445972 Pa. Doubling i doubles the pressure.

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Frequently asked questions

Can the particle factor be non-integer?

Yes. An effective measured factor can represent incomplete dissociation.

Is this an osmolality calculation?

No. It uses amount per solution volume, not amount per kilogram of solvent.

Does temperature have to be kelvin?

The calculation uses kelvin; the selector also accepts Celsius and Fahrenheit.

Sources

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