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Osmotic Pressure Calculator

Calculate osmotic pressure using the van't Hoff equation (π = iMRT). Convert between atm, kPa, mmHg, and psi.

About this calculator

This calculator applies the van't Hoff equation for osmotic pressure, π = iMRT, where i is the van't Hoff factor (particles produced per formula unit in solution), M is molar concentration, R is the ideal gas constant (0.08206 L·atm/(mol·K)), and T is absolute temperature in Kelvin. The equation treats dissolved solute as behaving like an ideal gas confined by a semipermeable membrane, which is a close approximation for dilute solutions but increasingly inaccurate at high concentration, where real solute-solute interactions lower the effective pressure below the ideal prediction. Osmotic Pressure (atm) is directly proportional to all three of Molarity, Temperature (K), and the van't Hoff Factor -- doubling any one of them doubles the pressure, holding the others fixed. Because all three inputs appear as simple multiplicative factors, nudging any single one of them by some percentage moves the pressure by that same percentage regardless of which input changed -- none of the three is locally more sensitive than the others.

Molarity does carry by far the widest declared range in this calculator (0.0001 to 100 M, a 10^6-fold span) compared to Temperature (1 to 10,000 K) and van't Hoff Factor (1 to 10), so realistic swings in Molarity typically produce the largest absolute change in pressure even though the underlying formula treats all three symmetrically. Osmolarity (Osm/L) is simply i times M and is reported alongside pressure because it is the more common label for total dissolved-particle concentration in clinical and biological contexts (e.g. blood plasma osmolarity is roughly 0.28-0.30 Osm/L). The pressure outputs in kPa, mmHg, and psi are unit conversions of the same atm value using the standard atmosphere definitions (1 atm = 101.325 kPa = 760 mmHg = 14.696 psi) and add no new physics.

Inputs

M
K

Results

Osmotic Pressure

2.4466 atm

Osmotic Pressure247.9 kPa
Osmotic Pressure1,859.43 mmHg
Osmotic Pressure35.956 psi
Osmolarity0.1 Osm/L
How to Use This Calculator
  1. Enter solution molarity and temperature in Kelvin.
  2. Set van't Hoff factor (i) — 1 for non-electrolytes, 2 for NaCl, etc.
  3. Review Osmotic Pressure in atm, kPa, mmHg, and psi, plus Osmolarity (Osm/L).

How the result changes with Molarity

MolarityOsmotic Pressure
0.051.2233 atm
0.081.835 atm
0.153.6699 atm
0.256.1165 atm

What each input means

Molarity
Molar concentration of solute in the solution
Temperature
Absolute temperature in Kelvin (25°C = 298.15 K)
van't Hoff Factor (i)
Number of particles per formula unit in solution (NaCl = 2, glucose = 1)

How this is calculated

Formula

π = iMRT

Worked example, using the default values

  1. Identify Input Parameters
    Molarity = 0.1, Temperature = 298.15, van't Hoff Factor (i) = 1 = 3 input(s) provided
  2. Calculate Osmotic Pressure
    Osmotic Pressure
    2.4466 = 2.4466
  3. Calculate Osmotic Pressure
    Osmotic Pressure
    247.9 = 247.9
  4. Calculate Osmotic Pressure
    Osmotic Pressure
    1859.43 = 1859.43

Engine last updated . Checked against 1 independently-derived test — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does the van't Hoff factor matter for a simple sugar solution versus salt?

The van't Hoff factor (i) counts how many dissolved particles each formula unit produces. A non-electrolyte like glucose stays as one particle per molecule (i = 1), while NaCl dissociates into Na+ and Cl- (i = 2 in the ideal case), doubling the osmotic pressure of an equally molar salt solution compared to an equally molar sugar solution.

Does one input matter more than the others for the pressure result?

Not in the formula itself: Molarity, Temperature, and the van't Hoff Factor all enter the pressure equation multiplicatively, so a given percentage change in any one produces the same percentage change in pressure. In practice, Molarity tends to swing results the most because its allowed range in this calculator spans six orders of magnitude (0.0001 to 100 M), far wider than the realistic ranges for Temperature or the van't Hoff Factor.

Does this calculator account for non-ideal solution behavior at high concentration?

No. The van't Hoff equation assumes dilute, ideal-solution behavior, treating solute particles as non-interacting. At high molarity, real solutions deviate from this ideal prediction because ions and molecules interact with each other, so the true osmotic pressure at very high concentrations will typically be somewhat lower than this calculator reports.

How do I convert the temperature input to Kelvin?

Add 273.15 to a Celsius temperature to get Kelvin -- the calculator's default of 298.15 K corresponds to 25°C (standard room temperature). Osmotic pressure calculations always require absolute temperature because the underlying gas-law relationship is only valid on the Kelvin scale, where zero represents true zero thermal energy.

What is Osmolarity and how does it differ from Molarity?

Osmolarity is the total concentration of dissolved particles, equal to Molarity multiplied by the van't Hoff Factor (i x M). For a non-dissociating solute like glucose, Osmolarity equals Molarity; for an electrolyte like NaCl that splits into two ions, Osmolarity is twice the Molarity, which is why it is the more clinically relevant number for comparing solutions with different solutes.

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