Water Density Calculator

Calculate water density at any temperature (0–100°C), salinity, and pressure. Includes anomalous expansion, viscosity, speed of sound, and density vs temperature table.

Water Density
998.207
0.998207 g/cm³
Specific Volume
1.001796
0.001002 m³/kg
Dynamic Viscosity
7.961
At atmospheric pressure
Specific Heat
4,210.5
Isobaric specific heat capacity
Speed of Sound
1,482.6
In freshwater at this temperature
Thermal Expansion
206.9
Positive (normal expansion)
Max Density Temp
3.98°C
ρ_max = 999.9749 kg/m³
Mass of 1 Liter
0.9982
2.2007 lb

Density vs Temperature (freshwater, 1 atm)

958
970
980
990
1000
998.2
0°C
20°C
40°C
60°C
80°C
100°C

Notice the maximum near 4°C — water\\\'s anomalous density behavior that keeps lakes from freezing solid.

Temp (°C)Density (kg/m³)Viscosity (mPa·s)1L Mass (g)
0999.8431.792999.843
4999.97512.061999.975
10999.70310.213999.703
15999.1038.980999.103
20998.2077.961998.207
25997.0477.110997.047
30995.6496.394995.649
40992.2155.263992.215
50988.0304.423988.030
60983.1783.783983.178
70977.7223.285977.722
80971.7052.890971.705
90965.1612.571965.161
100958.1152.310958.115
Planning notes, formulas, and examples

About the Water Density Calculator

The Water Density Calculator computes the precise density of water at any temperature from 0°C to 100°C, with corrections for salinity and pressure. Water\'s density is perhaps the most important physical constant in science and engineering — it defines the liter, underpins buoyancy calculations, and serves as the reference standard for specific gravity measurements.

Water exhibits anomalous density behavior: unlike almost every other substance, it reaches maximum density not at its freezing point but at approximately 3.98°C (999.97 kg/m³). Below this temperature, water expands as it cools further, which is why ice floats and lakes freeze from the top down — a property essential to aquatic life. This calculator uses the Tanaka et al. (2001) recommended formula derived from IAPWS-95 data for high-accuracy freshwater density.

Beyond basic density, the calculator provides dynamic viscosity, specific heat, thermal expansion coefficient, and speed of sound — all temperature-dependent properties needed for fluid dynamics, heat transfer, and acoustics calculations. The salinity correction handles seawater and brine solutions, while the pressure correction extends results to elevated pressures.

When This Page Helps

Accurate water density values are essential throughout science and engineering. Hydrologists model lake stratification, brewers calculate specific gravity, marine engineers design submersibles, HVAC engineers size water systems, and calibration laboratories reference water density to verify volumetric glassware. Rather than interpolating printed steam tables, this calculator gives accurate density plus viscosity and other properties at any conditions.

The anomalous expansion visualization is also a valuable teaching tool for physics and chemistry courses.

How to Use the Inputs

  1. Enter the water temperature and select units (°C, °F, or K).
  2. Enter salinity in g/L (0 for freshwater, 35 for average seawater).
  3. Enter pressure and select units (atm, bar, kPa, MPa, psi).
  4. Use preset buttons for common conditions (room temp, boiling, seawater, etc.).
  5. Review density, viscosity, specific heat, and other water properties.
  6. Check the density vs temperature chart to visualize the anomalous expansion.
  7. Consult the reference table for density across the full 0–100°C range.
Formula used
Density (Tanaka 2001): ρ(T) = 999.97495 × (1 − ((T − 3.983035)² × (T + 301.797)) / (522528.9 × (T + 69.34881))) where T is temperature in °C. Salinity correction: Δρ ≈ 0.7 × S (kg/m³ per g/L of dissolved salt). Pressure correction: Δρ ≈ 0.046 × (P − 1) kg/m³ per atm above atmospheric. Specific volume: v = 1/ρ. Thermal expansion coefficient: β = −(1/ρ)(dρ/dT).

Example Calculation

Result: ρ = 998.204 kg/m³, μ = 1.002 mPa·s, cₚ = 4,183 J/(kg·K)

At 20°C and 1 atm, freshwater has a density of 998.2 kg/m³ — slightly less than its maximum at 4°C. The dynamic viscosity of 1.002 mPa·s (centipoise) is the standard reference for fluid dynamics. One liter weighs 998.2 grams.

Tips & Best Practices

  • For laboratory work, use the density at your actual water temperature — assuming exactly 1.000 g/mL introduces errors up to 0.4% at room temperature.
  • Boiled and cooled water has slightly lower density than unboiled water due to dissolved gas removal.
  • For seawater calculations, salinity is traditionally given in parts per thousand (‰ or PSU) — 35 PSU ≈ 35 g/L.
  • The viscosity of water halves from 0°C to 25°C — a critical factor in pipe flow calculations.
  • At 4°C, aquatic organisms benefit from the density maximum: cold surface water sinks, circulating nutrients.
  • Tap water density varies slightly from pure water due to dissolved minerals (typically +0.1–0.5 kg/m³).

Water\'s Anomalous Expansion

Water is one of very few substances that expand upon freezing. This anomaly arises from hydrogen bonding: as water cools below 4°C, molecules begin arranging themselves into the hexagonal (ice-like) lattice that is less dense than the disordered liquid. At 0°C, the density drops to 999.84 kg/m³, and upon freezing drops sharply to 917 kg/m³. This 8.3% expansion exerts tremendous pressure — enough to burst pipes and split rocks — and is a major agent of weathering.

Oceanographic Density and Thermohaline Circulation

In the ocean, density depends on temperature, salinity, and pressure. Cold, salty water is denser and sinks, driving the global thermohaline circulation that distributes heat across the planet. Oceanographers measure density with CTD instruments (Conductivity, Temperature, Depth) and compute density from the UNESCO equation of state. Even tiny density differences (0.01 kg/m³) drive massive water flows across ocean basins.

Industrial and Laboratory Applications

Water density appears in countless engineering calculations: calibrating volumetric glassware, computing hydrostatic pressure in tanks and dams, sizing pumps and heat exchangers, determining specific gravity of liquids and solids, and verifying the purity of pharmaceutical-grade water. In brew|distillation industries, precise density measurements reveal sugar and alcohol content through specific gravity or Plato/Brix scales — all referenced to water\'s density.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • Below 4°C, hydrogen bonding forces water molecules into an increasingly open hexagonal structure (pre-ice lattice), causing expansion. This anomalous behavior is unique to water and a few other substances.