Seawater Density from Temperature & Salinity Calculator

Estimate seawater density from temperature and salinity accurately. Review formulas, charts, tables, and exportable results. Make faster ocean property decisions with cleaner numeric confidence.

Calculator inputs

Enter seawater conditions

Use the grid below. Large screens show three columns, smaller screens show two, and phones show one.

Enter the measured water temperature.
The formula internally uses Celsius.
Typical open-ocean salinity is near 35 PSU.
This page treats PSU and ppt as numerically similar.
Choose the unit used in the result cards.
Use 3 for a balanced display.
Chart range always uses Celsius.
Set a range wide enough for comparison.
More points produce a smoother curve.
Reset
Plotly graph

Density trend across the selected temperature range

After calculation, the chart shows density against temperature at the chosen salinity.

Summary notes

Interpret the result quickly

Temperature effect:
Warmer seawater generally becomes less dense when salinity stays fixed.
Salinity effect:
Salt dissolved in water raises mass per unit volume and usually increases density.
Scope reminder:
This calculator focuses on temperature and salinity only, using atmospheric pressure conditions.
Formula used

UNESCO EOS-80 density relationship

This calculator uses the common seawater density polynomial for salinity S in PSU and temperature T in °C at atmospheric pressure:

ρ(S,T) = ρw(T) + A(T)S + B(T)S3/2 + C·S²

Where:

  • ρw(T) = 999.842594 + 6.793952×10⁻²T − 9.095290×10⁻³T² + 1.001685×10⁻⁴T³ − 1.120083×10⁻⁶T⁴ + 6.536332×10⁻⁹T⁵
  • A(T) = 0.824493 − 4.0899×10⁻³T + 7.6438×10⁻⁵T² − 8.2467×10⁻⁷T³ + 5.3875×10⁻⁹T⁴
  • B(T) = −5.72466×10⁻³ + 1.0227×10⁻⁴T − 1.6546×10⁻⁶T²
  • C = 4.8314×10⁻⁴

The page also reports sigma-t, which is simply ρ − 1000 in kg/m³.

How to use this calculator

Simple workflow for consistent results

  1. Enter the seawater temperature and select its unit.
  2. Enter salinity and choose PSU or ppt.
  3. Pick the density output unit you prefer.
  4. Set decimal places for the displayed answer.
  5. Choose the graph temperature range in Celsius.
  6. Press Calculate Density to show the result above the form.
  7. Review the chart, metric cards, and interpretation notes.
  8. Use the export buttons to save the result as CSV or PDF.
Example data table

Sample seawater density values

Temperature (°C) Salinity (PSU) Density (kg/m³) Sigma-t
0 35 1,028.106 28.106
10 35 1,026.952 26.952
20 35 1,024.763 24.763
25 35 1,023.343 23.343
5 40 1,031.645 31.645
Frequently asked questions

FAQs

1. What units does this calculator support?

You can enter temperature in °C, °F, or K. Salinity can be entered as PSU or ppt. Density can be shown in kg/m³, g/cm³, or lb/ft³.

2. Does PSU equal ppt here?

For practical use on this page, PSU and ppt are treated as numerically similar. That matches many everyday seawater calculations, though strict laboratory contexts may distinguish measurement methods.

3. Does this page include pressure effects?

No. This version estimates density from temperature and salinity at atmospheric pressure. Deep-ocean work should use a full equation of state that includes pressure explicitly.

4. Why does density usually decrease as temperature rises?

Warmer water expands, so the same mass occupies more volume. That volume increase lowers density when salinity and pressure remain unchanged.

5. Why does higher salinity increase density?

Dissolved salts add mass to water and change intermolecular structure. In most practical seawater conditions, that makes denser water than freshwater at the same temperature.

6. What is sigma-t?

Sigma-t is seawater density minus 1000 kg/m³. Oceanographers use it because it gives a compact way to compare density changes across typical marine conditions.

7. Is this calculator suitable for oceanography homework?

Yes, for many introductory and intermediate problems. It is especially useful for comparing trends, checking examples, and building intuition about temperature-salinity effects on seawater density.

8. Can I export my results?

Yes. After calculating, use the CSV and PDF buttons in the result section. They save the current inputs, main outputs, and chart-related range details.

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