Water Potential Calculator — Osmotic and Pressure Potential | LazyTools

Water Potential Calculator

Calculate water potential (psi) from osmotic potential and pressure potential components. Essential for plant physiology, soil science, and agricultural irrigation management. Includes solute concentration inputs.

Water potential (psi)Osmotic potentialPressure potentialPlant physiology

Water Potential Calculator Tool

Water potential components

Reset
psi = psi_s + psi_p. Osmotic: psi_s = -iCRT. R = 0.00831 L·MPa/(mol·K)
Enter values and click Calculate
Water potential
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-
Osmotic potential
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MPa (psi_s)
Pressure potential
-
MPa (psi_p / turgor)
Water status
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-
Direction of flow
-
water moves to lower psi
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★ Key features

Why use this free water potential calculator?

Built with the features most competitors miss — deeper inputs, benchmark data, and actionable guidance alongside the core calculation.

💧
3 calculation modes
Full water potential (psi_s + psi_p), osmotic potential from concentration (van't Hoff), and total water potential from osmolarity.
📈
Van't Hoff equation built in
Calculate osmotic potential directly from solute concentration, ionisation constant, and temperature.
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Plant water stress classification
Results include a plant water status classification from turgid to severe stress.
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Ionisation constant presets
Non-electrolytes (sucrose), 1:1 salts (NaCl), and 1:2 salts (CaCl2) plus custom i values.
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Direction of water flow
Shows the direction of water movement relative to pure water for biological context.
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Free, browser-based
No registration, no download. Works on any device.
📄 How to use

How to use this water potential calculator

1
Select calculation mode
Full calculation: enter osmotic and pressure potentials directly. Osmotic mode: calculate from solute concentration using van't Hoff.
2
Enter the required values
Full mode: enter psi_s (negative) and psi_p (positive for turgid cells). Concentration mode: enter solute, i factor, concentration, and temperature.
3
Read water potential and status
Total water potential, components, stress classification, and flow direction are all shown.
4
Use for osmosis or irrigation problems
Compare water potentials of two solutions to determine direction and magnitude of osmotic flow.
📚 Reference

Water potential reference values

SystemTypical water potentialNotes
Pure water0 MPaReference point
Well-watered plant leaf-0.1 to -0.3 MPaHigh water status
Field capacity soil-0.033 MPaOptimal soil moisture
Plant at mild stress-0.5 to -1.0 MPaReduced growth
Permanent wilting point-1.5 MPaMost crops cannot recover
0.3 M sucrose (25C)-0.74 MPaVan't Hoff calculation
Seawater~-2.7 MPaToo low for most crops
📈 vs the competition

How this calculator compares

LazyTools fills the gaps most competing tools leave open — deeper analysis, benchmark context, and actionable guidance alongside the core calculation.

FeatureLazyToolsOmniCalculatorBioninja.comBiology textbook tools
3 calculation modes✓ YesPartial
Van't Hoff osmotic calc✓ Yes
Plant stress classification✓ Yes
Ionisation constant presets✓ Yes
Flow direction output✓ Yes
Free, no registration✓ Yes
📖 Complete guide

Water Potential Calculator: Complete Guide

Water potential is the fundamental concept governing water movement in plants, soil, and biological systems. It integrates the effects of solute concentration (osmotic potential) and physical pressure (pressure potential) into a single thermodynamic quantity that predicts the direction and magnitude of water flow.

The water potential equation

Total water potential (psi) = Osmotic potential (psi_s) + Pressure potential (psi_p). Pure water has psi = 0 MPa. Osmotic potential is always negative because dissolved solutes reduce the free energy of water molecules. Pressure potential is positive in turgid cells (turgor pressure) and negative in xylem under tension (tension pressure). The sum determines the total driving force for water movement.

The van't Hoff equation for osmotic potential

Psi_s = -iCRT. R = 0.00831 L MPa/(mol K) is the gas constant in appropriate units. T is temperature in Kelvin (C + 273.15). Example: 0.2 M sucrose (i=1) at 25C: psi_s = -(1 x 0.2 x 0.00831 x 298.15) = -0.495 MPa. Example: 0.2 M NaCl (i=2) at 25C: psi_s = -(2 x 0.2 x 0.00831 x 298.15) = -0.990 MPa. Note how a 1:1 salt at the same molar concentration produces twice the osmotic effect as a non-electrolyte.

Water potential in plant physiology

Water enters roots from soil because root cell water potential is lower (more negative) than soil water potential. It moves up the xylem driven by the tension created by transpiration at leaf surfaces. In leaves, water evaporates from cell walls into air spaces, creating a water potential gradient that pulls water up the plant. This process (the cohesion-tension mechanism) explains how trees can lift water to heights of 100 metres or more without a pump.

Soil water potential and plant water status

Field capacity (soil at optimal moisture after drainage): approximately -0.033 MPa. Permanent wilting point: approximately -1.5 MPa. Plant-available water is between these two values. When soil water potential falls below the plant's leaf water potential, water can no longer enter the plant even if it is present in the soil. Understanding this gradient explains why plants on certain soil types wilt faster despite the same water content.

Frequently asked questions

Water potential (psi) is a measure of the potential energy of water in a system relative to pure water. It determines the direction of water movement: water always moves from regions of higher water potential to lower water potential (more negative). Measured in MPa or bars.
Total water potential (psi) = Osmotic potential (psi_s) + Pressure potential (psi_p). Osmotic potential is always negative (solutes reduce water potential). Pressure potential (turgor) is usually positive in turgid plant cells.
Osmotic potential (psi_s) = -iCRT. Where i = ionisation constant, C = solute concentration in mol/L, R = gas constant (0.00831 L MPa/(mol K)), T = temperature in Kelvin. Sucrose at 0.3 M, 25C: psi_s = -(1 x 0.3 x 0.00831 x 298.15) = -0.743 MPa.
Pressure potential (psi_p) results from the physical pressure exerted by the cell wall on the cell contents. In turgid plant cells, it is positive (0.1 to 2.0 MPa). In flaccid cells, it approaches zero. In xylem under tension, it can be negative.
Most plants begin to wilt when leaf water potential falls below approximately -1.0 to -1.5 MPa. The permanent wilting point (where plants cannot recover with watering) is approximately -1.5 MPa for many crops.
Pure water at standard conditions (sea level, 25C) has a water potential of 0 MPa. All biological solutions have lower (more negative) water potential due to dissolved solutes.
Water moves by osmosis from regions of high water potential (less negative, more dilute) to regions of lower water potential (more negative, more concentrated solutes). Water enters plant roots because soil water potential is higher than root cell water potential.
Osmotic pressure is a positive value equal to the osmotic potential in magnitude: pi = iCRT. Osmotic potential is the negative of osmotic pressure. They describe the same phenomenon from different frames of reference. Water potential = -pi + pressure.
The ionisation constant i (also called the van't Hoff factor) accounts for the number of particles a solute dissociates into in solution. Non-electrolytes (sucrose, glucose): i = 1. NaCl: i = approximately 2 (Na+ and Cl-). CaCl2: i = approximately 3. Higher i = more particles = lower osmotic potential at same concentration.
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