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Osmotic Pressure Calculator

Calculate osmotic pressure, molarity, temperature, or van't Hoff factor using Π = iMRT, with atm, kPa, bar, torr, mmHg, and psi output.

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Osmotic pressure from the van't Hoff relation

An osmotic pressure calculator uses the ideal dilute relation Π = iMRT to connect osmotic pressure with molarity, temperature, and van't Hoff factor. It is useful for chemistry coursework, membrane comparisons, and quick checks of how solution particle concentration changes the pressure needed to stop osmosis.

What osmotic pressure means

Osmotic pressure is the pressure required to stop net solvent flow across an ideal semipermeable membrane separating a solution from pure solvent. In dilute solution it behaves mathematically like a gas-law analogue, because the effect scales with the number of dissolved particles.

That is why the page reports both formal molarity and particle molarity i × M. Higher temperature or more dissolved particles produces a larger osmotic pressure under the same ideal assumptions.

Formula used here

This calculator uses the van't Hoff relation Π = iMRT. M is molarity in mol/L, T is absolute temperature in kelvin, R is the gas constant in L·atm·mol^-1·K^-1, and i is the van't Hoff factor.

Π = iMRT

Ideal dilute osmotic pressure relation for semipermeable-membrane systems.

M = Π / (iRT)

Rearranged form used when solving concentration from a measured osmotic pressure.

Worked example

A 0.15 M sodium chloride solution at 25 °C with i ≈ 1.9 gives an osmotic pressure of about 7.0 to 7.4 atm under the ideal-dilute model, depending on rounding. The calculator then converts that value into kPa, bar, torr, mmHg, or psi as needed.

Because the equation depends on kelvin temperature, the page can also reverse-solve the temperature or effective van't Hoff factor when the other quantities are known.

Frequently asked questions

Why does this use kelvin internally?

The van't Hoff equation requires absolute temperature. The calculator accepts Celsius for convenience, then converts it to kelvin before solving.

Is osmotic pressure the same as blood pressure or hydrostatic pressure?

No. Osmotic pressure is a colligative solution property tied to semipermeable-membrane equilibrium. It is not a direct model for physiological blood-pressure measurement or bulk fluid statics.

Does the ideal van't Hoff equation work for concentrated real solutions?

Only approximately. Real solutions can deviate from ideality, especially at higher concentration, with strong solute-solvent interactions, or in biological systems.

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