Liquid Water Properties Table
Properties of liquid water at 1 atm from 0°C to 95°C plus saturated liquid at 100°C: density, specific heat, viscosity, thermal conductivity, Prandtl number, thermal expansion coefficient (IAPWS).
Thermophysical properties of liquid water at 1 atm (101.325 kPa) from 0°C to 95°C, plus saturated liquid at 100°C. Click headers to sort.
21 rows shown
| T (°C) ↑ | ρ (kg/m³) | cp (kJ/kg·K) | μ×10⁻³ (kg/m·s) | ν×10⁻⁶ (m²/s) | k (W/m·K) | Pr | β×10⁻⁴ (1/K) |
|---|---|---|---|---|---|---|---|
| 0 | 999.84 | 4.2194 | 1.7918 | 1.792 | 0.55565 | 13.606 | -0.67759 |
| 5 | 999.97 | 4.205 | 1.5182 | 1.5182 | 0.56779 | 11.243 | 0.16042 |
| 10 | 999.7 | 4.1952 | 1.3059 | 1.3063 | 0.57878 | 9.4656 | 0.87934 |
| 15 | 999.1 | 4.1885 | 1.1376 | 1.1386 | 0.5888 | 8.0921 | 1.5084 |
| 20 | 998.21 | 4.1841 | 1.0016 | 1.0034 | 0.59801 | 7.0078 | 2.0681 |
| 25 | 997.05 | 4.1813 | 0.89002 | 0.89266 | 0.60652 | 6.1358 | 2.5729 |
| 30 | 995.65 | 4.1798 | 0.79722 | 0.80071 | 0.61439 | 5.4236 | 3.0338 |
| 35 | 994.03 | 4.1793 | 0.71913 | 0.72344 | 0.6217 | 4.8342 | 3.4589 |
| 40 | 992.22 | 4.1794 | 0.65273 | 0.65785 | 0.62849 | 4.3406 | 3.8548 |
| 45 | 990.21 | 4.1801 | 0.59577 | 0.60166 | 0.63478 | 3.9232 | 4.2264 |
| 50 | 988.04 | 4.1813 | 0.54652 | 0.55313 | 0.64062 | 3.5671 | 4.5777 |
| 55 | 985.69 | 4.183 | 0.50362 | 0.51093 | 0.64602 | 3.2609 | 4.9122 |
| 60 | 983.2 | 4.185 | 0.46604 | 0.474 | 0.651 | 2.9959 | 5.2325 |
| 65 | 980.55 | 4.1873 | 0.4329 | 0.44149 | 0.65558 | 2.7651 | 5.541 |
| 70 | 977.76 | 4.1901 | 0.40355 | 0.41273 | 0.65976 | 2.5629 | 5.8396 |
| 75 | 974.84 | 4.1932 | 0.37742 | 0.38716 | 0.66356 | 2.385 | 6.1299 |
| 80 | 971.79 | 4.1968 | 0.35405 | 0.36433 | 0.66699 | 2.2277 | 6.4136 |
| 85 | 968.61 | 4.2007 | 0.33308 | 0.34387 | 0.67007 | 2.0881 | 6.692 |
| 90 | 965.31 | 4.2052 | 0.31418 | 0.32547 | 0.67279 | 1.9637 | 6.9661 |
| 95 | 961.89 | 4.2102 | 0.29709 | 0.30886 | 0.67517 | 1.8525 | 7.2372 |
| 100 | 958.35 | 4.2157 | 0.28158 | 0.29382 | 0.67721 | 1.7529 | 7.5062 |
Viscosity μ & Prandtl Number Pr vs Temperature
Tip: hover to read values, click to pin a point for export
Pressure basis: rows from 0°C to 95°C are liquid water at 101.325 kPa. Water boils at 99.97°C at 1 atm, so the 100°C row is saturated liquid at 101.42 kPa. Ice melts at about 0.003°C at 1 atm, so the 0°C row is very slightly supercooled liquid.
Source: CoolProp 8.0.0: IAPWS-95 for ρ, c_p and β; IAPWS 2008 viscosity and IAPWS 2011 thermal conductivity formulations. ν = μ/ρ and Pr = μc_p/k are computed from the same values (five significant figures).
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When to Use This Calculator
- •Use the Liquid Water Properties Table to check your hand calculations on homework or exam problems — comparing its result with your own working helps identify arithmetic errors before they propagate.
- •Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
- •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
- •Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
- •Use it in the field when a quick estimate is needed and a full engineering software package is not available.
About This Calculator
The Liquid Water Properties Table is a precision engineering calculation tool designed for students, engineers, and technical professionals. Properties of liquid water at 1 atm from 0°C to 95°C plus saturated liquid at 100°C: density, specific heat, viscosity, thermal conductivity, Prandtl number, thermal expansion coefficient (IAPWS). All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Follow the units printed beside each field. Where a unit selector is provided, the selected unit is converted internally. Results are computed in your browser without sending data to a server, which keeps your inputs private. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.
The Theory Behind It
Water properties tables tabulate the thermophysical properties of liquid water at atmospheric pressure across its liquid range (0-100°C). Key properties include density (ρ), specific heat at constant pressure (c_p), dynamic viscosity (μ), kinematic viscosity (ν), thermal conductivity (k), Prandtl number (Pr), and thermal expansion coefficient (β). Water density peaks at about 999.97 kg/m³ at 4°C and decreases at higher and lower temperatures — this anomaly is why ice floats on water. Specific heat of liquid water is approximately 4.18 kJ/(kg·K) at 20°C and varies only slightly over the temperature range. Viscosity decreases strongly with temperature: from about 1.79 × 10⁻³ Pa·s at 0°C to 2.82 × 10⁻⁴ Pa·s at 100°C (over 6× reduction). Thermal conductivity increases modestly from 0.556 W/(m·K) at 0°C to 0.677 W/(m·K) at 100°C. Prandtl number decreases from about 13.6 at 0°C to about 1.75 at 100°C due to the steep viscosity drop. These properties are essential for designing water-cooled heat exchangers, HVAC hydronic systems, chemical processing equipment, and any application involving liquid water as a working fluid or coolant.
Real-World Applications
- •Water-cooled heat exchanger design: compute heat transfer coefficients using temperature-dependent water properties for chilled water, hot water, and cooling tower applications.
- •HVAC hydronic system analysis: pipe sizing, pump selection, and pressure drop calculations use viscosity and density at the operating temperature range.
- •Chemical process design: aqueous solutions and water-based process streams require accurate property data for heat and mass transfer calculations.
- •Solar thermal collectors: water-based solar collectors use temperature-dependent properties to predict efficiency and heat delivery.
- •Water treatment and distribution: properties of water affect pipe friction, pump sizing, and disinfection processes.
Frequently Asked Questions
What is water's maximum density?
Water reaches maximum density of about 999.97 kg/m³ (often rounded to 1000 kg/m³) at 3.98°C at atmospheric pressure. This is a unique anomaly — most liquids have maximum density at their freezing point. The maximum at 4°C means water becomes less dense both when warmed and when cooled below 4°C, which is why ice floats and why deep lakes don't freeze solid (warmer 4°C water sinks).
Why does water viscosity drop so much with temperature?
Liquid water has strong hydrogen bonds between molecules that inhibit flow. As temperature increases, thermal energy disrupts these bonds, allowing molecules to slide past each other more easily — dramatically reducing viscosity. From 0°C to 100°C, water viscosity drops by a factor of about 6. This is why hot water flows much faster through pipes than cold water.
What's the specific heat of water?
Approximately 4.18 kJ/(kg·K) or 1.00 kcal/(kg·K) at 20°C (the latter defines the calorie — the heat required to raise 1 g of water by 1°C). Specific heat varies only slightly with temperature in the liquid range, from 4.22 kJ/(kg·K) at 0°C to 4.22 kJ/(kg·K) at 100°C, with a minimum of 4.18 at about 30-40°C. Water's exceptionally high specific heat makes it the best common heat transfer fluid.
How does Prandtl number change with temperature?
Pr = μc_p/k for water drops from 13.6 at 0°C to 1.75 at 100°C, mostly because viscosity drops faster than thermal conductivity increases. Heat exchanger correlations using Nusselt number depend on Prandtl number, so the temperature effect matters for accurate heat transfer calculations — don't use room-temperature Pr for hot water or cold water applications.
What's water's thermal expansion coefficient?
The coefficient of thermal expansion β is about 0 at 4°C (where density is maximum), negative below 4°C (water expands when cooled), and positive above 4°C. At 20°C, β ≈ 207 × 10⁻⁶/°C. This matters for closed hydronic systems (expansion tank sizing) and for accurate mass measurements at varying temperatures.
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References & Further Reading
Wikipedia
Standards & Organizations
Industry References
- CoolProp — open-source thermophysical property libraryCoolProp
Version 8.0.0 evaluated the IAPWS formulations for every row.
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