Water Potential Calculator

Calculate solute potential and total water potential from concentration, temperature, ionization, and pressure.

Calculate water potential
Enter solution conditions using molar concentration, degrees Celsius, and pressure in megapascals.

About water potential

Water potential describes the potential energy of water relative to pure water under reference conditions. It predicts the direction in which water will move: water generally travels from a region with higher water potential toward a region with lower water potential. Plant physiologists, soil scientists, and students use this quantity to understand osmosis, water uptake by roots, cell turgor, wilting, and transport through plant tissues. Pure water at atmospheric pressure is assigned a water potential of zero, while dissolved solutes usually make the value negative. This calculator combines solute potential with pressure potential. Solute potential is calculated with the van't Hoff relationship, solute potential equals negative i times C times R times T. The ionization constant i represents the number of dissolved particles produced by each formula unit. It is approximately 1 for substances such as sucrose that do not dissociate, about 2 for ideal sodium chloride, and may differ from an integer in real solutions. C is molar concentration, R is the gas constant expressed as 0.008314 liter megapascals per mole kelvin, and T is absolute temperature in kelvin. The calculator converts an entered Celsius temperature to kelvin automatically. Pressure potential accounts for physical pressure on water. A turgid living cell normally has positive pressure potential, whereas tension in xylem can be represented by a negative pressure potential. Adding pressure potential to solute potential gives the total water potential for this simplified model. Other components, including gravitational and matric potential, can matter in tall plants, dry soils, or porous materials, but they are not included here. Use consistent units and interpret the result in context. An ideal-solution calculation is most suitable for dilute solutions; concentrated or strongly interacting solutions can depart from ideal behavior. A more negative result indicates a stronger tendency to draw in water when compared with a less negative neighboring compartment. The numerical result is useful for coursework and preliminary estimates, but careful laboratory work should use measured osmotic properties and account for every relevant potential component.

Water potential examples

These examples use the ideal van't Hoff equation and rounded results.

ConditionsWater potentialInterpretation
0.10 mol/L sucrose, 25 °C, i = 1, pressure = 0 MPa-0.2479 MPaA dilute non-ionizing solution.
0.20 mol/L solute, 20 °C, i = 2, pressure = 0.5 MPa-0.4749 MPaPositive pressure partly offsets solute potential.
0.05 mol/L solute, 30 °C, i = 1, pressure = 0.2 MPa0.0740 MPaPressure is greater than the osmotic contribution.

How to calculate water potential

  1. Enter the molar concentration of dissolved solute.
  2. Enter the solution temperature in degrees Celsius.
  3. Supply the ionization constant and the pressure potential in megapascals.
  4. Select Calculate Water Potential and compare the solute and total potential results.

Water potential FAQ

What does a negative water potential mean?

A negative value means the water has less potential energy than pure water at the reference state. Water tends to move toward that region from a region with a higher value when a pathway is available.

Why is temperature converted to kelvin?

The van't Hoff equation requires an absolute temperature scale. Adding 273.15 to degrees Celsius provides the kelvin value used by the gas-law relationship.

What ionization constant should I use?

Use 1 for a solute that remains as intact molecules in an ideal solution. For a dissociating electrolyte, use the effective number of particles produced per formula unit, recognizing that real behavior may be nonideal.

Is pressure potential always positive?

No. Turgor pressure in cells is commonly positive, but water under tension may have negative pressure potential. Enter the sign that represents the physical system being modeled.

Does this include matric potential?

No, this calculator adds only solute and pressure potential. Soil and porous-media calculations may also require matric and gravitational components.