Skip to content
Physics

Water Density Calculator

Enter water temperature to find its density instantly. Switch to seawater mode to add salinity and pressure effects. Results update as you type and include kg/m3, g/cm3, and lb/ft3. The step-by-step panel shows exactly how the calculation was done, and a reference table lists standard density values across the full temperature range.

Your details

Pure water uses the Kell polynomial. Seawater adds salinity and pressure corrections via the Millero method.
Valid range is 0 to 100 C (32 to 212 F / 273 to 373 K) for pure water.
C
Water densityCold water (8-20 C)
998.2041

Density of water at the specified conditions

Density unitkg/m3
Density (kg/m3)998.204kg/m3
Density (g/cm3)0.998204g/cm3
Density (lb/ft3)62.3158lb/ft3
Temperature (C)20C
Specific gravity0.99823
Specific weight9,789.04N/m3
Dynamic viscosity1,001.6649mPa-s
998.204 kg/m3
Hot water (>70 C)<975Warm water975-994Cool water994-999Near-max density999-1001Seawater range1001+
0499.98999.96050100
Temperature (C)

Density at 20.0 C: 998.204 kg/m3

  • Water is densest at about 4 C (999.972 kg/m3) because of hydrogen-bond geometry. Above and below that, density falls.
  • At this temperature, specific gravity is 0.9982, meaning the water is -0.177% less dense than the 4 C reference.
  • Objects with a density below this value will float; objects denser than this value will sink.

Next stepSwitch to seawater mode to see how salinity and depth increase density - key for oceanography and marine engineering.

Why water density changes with temperature

Water molecules are held together by hydrogen bonds. As temperature rises, the molecules gain kinetic energy and move farther apart, reducing density. But there is an unusual twist: ice and very cold water are less dense than liquid water at about 4 C, because water molecules form a hexagonal lattice in ice that spaces them out more than the liquid state. This is why ice floats and why lakes freeze from the top down. At exactly 4 C (39.2 F), liquid water reaches its maximum density of 999.975 kg/m3. Above and below that temperature, density falls, creating a curve with its peak at 4 C.

How salinity and pressure affect density

Dissolved salts increase water density by adding mass without proportionally expanding volume. Average ocean water at 35 ppt salinity is roughly 25 kg/m3 denser than fresh water at the same temperature. This density difference drives thermohaline circulation: cold, salty water at the poles sinks and flows along the ocean floor toward the equator, while warmer, lighter water moves along the surface to replace it. Pressure also increases density slightly because water is mildly compressible. At 100 m depth (about 10 atm gauge), density increases by roughly 0.5 kg/m3. At ocean-trench depths of 11 km (about 1100 atm), the increase reaches around 50 kg/m3.

The Kell polynomial and Millero method

This calculator uses the Kell (1975) 5th-order rational polynomial for pure water density from 0 to 100 C at atmospheric pressure. The polynomial fits IAPWS-95 data to better than 0.001 kg/m3 across the full range. For seawater, a simplified form of the Millero et al. equation adds salinity-dependent coefficients (A, B, C terms) and a bulk-modulus pressure correction. The Millero approach underpins the UNESCO ocean standard and is accurate to about 0.01 kg/m3 in the oceanographic range of 0-40 C, 0-40 ppt and 0-1000 atm.

Practical applications of water density

Water density matters across many fields. In hydraulics and civil engineering, pipe-flow calculations depend on the density of the water at operating temperature. Aquaculture and fish hatcheries monitor density to infer dissolved oxygen. Brewers and winemakers track density changes via a hydrometer to measure sugar conversion during fermentation. Marine engineers design ships with stability margins that account for the density difference between ocean and river water (a ship floats higher in the Atlantic than in the Thames). Oceanographers use density profiles to map water masses, currents, and climate-relevant heat content in the deep ocean.

Water density at standard pressure (1 atm) by temperature

Temperature (C)Temperature (F)Density (kg/m3)Density (g/cm3)Specific gravity
032999.8410.9998411.00000
439.2999.9750.9999751.00013
1050999.7000.9997000.99972
1559999.0990.9990990.99912
2068998.2040.9982040.99823
2577997.0470.9970470.99707
3086995.6520.9956520.99568
40104992.2150.9922150.99224
50122988.0410.9880410.98807
60140983.1950.9831950.98321
70158977.7630.9777630.97779
80176971.8000.9718000.97183
90194965.3410.9653410.96537
100212958.4050.9584050.95843

Values calculated using the Kell (1975) polynomial for pure water. Seawater at 35 ppt is approximately 24-26 kg/m3 denser across the range.

Frequently asked questions

What is the density of water at room temperature?

At 20 C (68 F), pure water has a density of about 998.2 kg/m3, or 0.9982 g/cm3. This is close to but slightly below its maximum of 999.975 kg/m3 at 4 C. For most everyday calculations you can use 1000 kg/m3 (1 g/cm3) as a convenient round number with less than 0.2% error.

At what temperature is water densest?

Pure water reaches its maximum density at approximately 3.98 C (about 4 C or 39 F), where it is 999.975 kg/m3. Below that temperature, hydrogen-bond geometry expands the lattice and density decreases toward 917 kg/m3 for ice at 0 C. Above 4 C, increasing thermal agitation reduces density continuously up to the boiling point.

How does salinity change the density of seawater?

Each gram of dissolved salt per kilogram of water (1 ppt) adds roughly 0.8 kg/m3 to the density. Average seawater at 35 ppt is therefore about 25-26 kg/m3 denser than fresh water at the same temperature. Salt also lowers the temperature of maximum density below 0 C, which is why the ocean does not behave like a lake in winter.

Why does ice float if it comes from water?

When water freezes, hydrogen bonds lock molecules into a hexagonal lattice with more empty space than liquid water. Ice at 0 C has a density of about 917 kg/m3, well below liquid water at 0 C (999.8 kg/m3). Since ice is less dense than the water beneath it, it floats. This unusual property is critical for aquatic ecosystems: it insulates lakes and rivers, preventing them from freezing solid in winter.

How do I convert kg/m3 to g/cm3 or lb/ft3?

Divide kg/m3 by 1000 to get g/cm3 (so 998 kg/m3 = 0.998 g/cm3). Multiply kg/m3 by 0.062428 to get lb/ft3 (998 kg/m3 = 62.31 lb/ft3). This calculator outputs all three unit formats simultaneously so you never need to do the conversion manually.

What is specific gravity and how does it relate to density?

Specific gravity (SG) is the ratio of a substance's density to the density of pure water at 4 C (the reference, 999.975 kg/m3). It is dimensionless. For water at 20 C with density 998.2 kg/m3, SG = 998.2 / 999.975 = 0.99823. An SG below 1.0 means the substance is less dense than the reference water; above 1.0 means denser. Hydrometers used in brewing and battery testing measure specific gravity directly.

Sources

Written by Dr. Tomás Okafor, PhD Physicist · Lagos, Nigeria

Physicist specializing in classical mechanics, bringing 17 years of research and applied dynamics expertise to every calculator he reviews.

Search 3,500+ calculators

Loading search…