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Seawater Density Calculator

Calculate seawater density from temperature, salinity, and pressure using a simplified UNESCO equation of state.

About this calculator

This calculator estimates seawater density using a simplified version of the UNESCO/EOS-80 international equation of state for seawater, the standard oceanographic reference for relating density to temperature, salinity, and pressure (the Intergovernmental Oceanographic Commission used EOS-80 as the official description of seawater properties in marine science from 1980 until it was formally superseded by the more complete TEOS-10 standard in 2009). Density starts from the pure-water density curve (a fifth-order polynomial in temperature alone, which is why water is densest just above freezing and expands again toward warmer temperatures), then adds salinity's contribution through its own temperature-dependent polynomial terms, and finally adds a small pressure correction. Salinity is Practical Salinity Units (PSU), essentially grams of dissolved salt per kilogram of seawater; average open-ocean salinity is about 35 PSU.

Sigma-t is the density anomaly oceanographers actually plot and compare -- density minus 1000 kg/m³ -- because seawater density hovers so close to fresh water's 1000 kg/m³ that the raw number hides small but meaningful differences between water masses. Sound Speed uses a simplified Mackenzie-style approximation: it rises with temperature, rises (modestly) with salinity, and rises with depth/pressure, which is why sonar and acoustic oceanography have to account for all three before trusting a measured travel time. Pressure here is entered in decibars, which is convenient because 1 decibar of hydrostatic pressure corresponds to almost exactly 1 meter of seawater depth, so the Pressure input doubles as a depth proxy without a separate unit conversion.

Inputs

°F
PSU
dbar

Results

Seawater Density

1,025.97 kg/m³

Sigma-t (σt)25.97 kg/m³
Specific Volume0 m³/kg
Sound Speed1,506.7 m/s
Thermal Expansion Coeff0 /°C

Figures current as of 1980. Source: UNESCO Technical Papers in Marine Science 44 (1983), reporting the Joint Panel on Oceanographic Tables and Standards' 1980 International Equation of State of Seawater (EOS-80) — the equation of state adopted by the Intergovernmental Oceanographic Commission as the official standard for computing seawater density from temperature, salinity, and pressure until it was superseded by TEOS-10 in 2009.

How to Use This Calculator
  1. Enter Temperature, Salinity, and Pressure.
  2. Review the Seawater Density (kg/m³) result.
  3. Use Sigma-t (σt) (kg/m³) and Specific Volume (m³/kg) to inform your decision.

How the result changes with Salinity

SalinitySeawater Density
181,012.91 kg/m³
261,019.05 kg/m³
421,031.38 kg/m³

What each input means

Temperature
In-situ water temperature in degrees Celsius. Ranges from -2°C (polar) to 30°C+ (tropical surface).
Salinity
Practical salinity units. Average ocean salinity is ~35 PSU. Ranges from 0 (freshwater) to 42 (Red Sea).
Pressure
Hydrostatic pressure in decibars. Approximately equal to depth in meters (100 dbar ≈ 100 m).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Temperature = 15, Salinity = 35, Pressure = 0 = 3 input(s) provided
  2. Calculate Seawater Density
    Seawater Density
    1025.973 = 1025.973
  3. Calculate Sigma-t
    Sigma-t
    25.973 = 25.973
  4. Calculate Specific Volume
    Specific Volume
    0.000974685 = 0.000974685

Figures and sources

Engine last updated . Checked against 4 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does colder water have a higher density here?

At typical ocean salinity (above roughly 27 PSU), yes: this calculator's Density output falls as Temperature rises across the entire -2°C to 40°C range at fixed salinity and pressure, and cold water tends to sink beneath warmer water, driving large-scale thermohaline circulation. Below that salinity the picture changes -- fresh and brackish water have a genuine density maximum near 4°C (this is why lakes freeze from the top down: 4°C water sinks below both colder and warmer water). Try Salinity at 0 with Temperature stepped from -2°C upward and Density rises to a peak around 4°C before it starts falling, exactly reproducing that freshwater behavior. As Salinity increases, the density-maximum temperature drops and moves below this calculator's -2°C floor once Salinity passes about 26-27 PSU, which is why the simple "colder is always denser" rule only holds at near-oceanic-and-saltier salinities.

What does a Sigma-t of 26 versus 20 actually mean?

Sigma-t is simply Density minus 1000 kg/m³, so a Sigma-t of 26 means the water is denser (about 1026 kg/m³) than water with a Sigma-t of 20 (about 1020 kg/m³). Oceanographers use Sigma-t instead of raw density because seawater density values all cluster near 1000-1030 kg/m³, and subtracting the constant makes the meaningful differences between water masses easier to read and compare at a glance.

Why is Pressure entered in decibars instead of a more familiar pressure unit?

Decibars are the oceanographic convention precisely because 1 decibar of hydrostatic pressure in seawater works out to very close to 1 meter of depth, so entering Pressure in decibars lets you treat the number as an approximate depth in meters without a separate conversion step. This calculator's Pressure input covers 0 to 11,000 dbar, roughly surface to the deepest ocean trenches.

Does raising Salinity always increase density?

Yes, across this calculator's full 0 to 42 PSU range at any fixed temperature and pressure: dissolved salt adds mass without adding much volume, so Density rises monotonically as Salinity increases. This is why the very salty Red Sea (around 40 PSU) produces denser water than the fresher Baltic Sea, even at similar temperatures.

Is this the exact UNESCO EOS-80 formula oceanographers use professionally?

No -- it is a simplified version. The pure-water and salinity polynomial terms follow the real UNESCO/EOS-80 structure -- the equation of state the Joint Panel on Oceanographic Tables and Standards published in 1980 and the Intergovernmental Oceanographic Commission used as the official standard until TEOS-10 replaced it in 2009 -- but the pressure correction here is a linear approximation rather than the full pressure-dependent bulk modulus terms in the complete standard, so results near the surface are close to reference values while deep, high-pressure results should be treated as an educational approximation rather than a lab-grade calculation.

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