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Pure Water Density by Temperature Calculator — result sheet
Estimate pure-water density at atmospheric pressure from temperature, then calculate the mass of a chosen water volume and compare an object's density with the water state.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For pure water near one atmosphere and 0–40 °C, estimate ρ(T) = [999.83952 + 16.945176T − 0.0079870401T² − 0.000046170461T³ + 0.00000010556302T⁴ − 0.00000000028054253T⁵] ÷ [1 + 0.016879850T] kg/m³; water mass = ρ × volume in m³.
Water density changes with temperature and reaches its maximum near 4 °C, so the familiar 1,000 kg/m³ shortcut is not equally accurate across the full liquid range. This page uses a bounded pure-water correlation and adds a transparent volume-mass and float-or-sink comparison. It does not model salinity, pressure, dissolved gas, ice, steam, or a buoyancy force balance for a partially submerged object.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Water temperature — °C; minimum 0; maximum 40
- Water volume — L; minimum 1.0E-6; maximum 1000000000
- Object density for comparison — kg/m³; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Water temperature | 20 |
| Water volume | 10 |
| Object density for comparison | 750 |
At 20 °C the estimated pure-water density is about 998.21 kg/m³, so 10 L has a mass near 9.982 kg and an object at 750 kg/m³ is less dense than the water.
Assumptions and limits
- The correlation represents pure liquid water close to atmospheric pressure over 0–40 °C; it is not a seawater, brine, high-pressure, ice, or steam property model.
- Temperature is uniform throughout the entered volume and the litre input is converted as 1 L = 0.001 m³.
- Object density is compared with water density as a simple fully immersed density check; shape, trapped air, surface tension, and partial submergence are not modeled.
- The polynomial is an approximation to a reference water-property formulation and should not be used outside the stated range or for calibration work.
- The mass output is a property-based estimate and does not include a container, dissolved material, or measurement uncertainty.
- Use an appropriate water or seawater equation of state for laboratory, metrology, marine, or high-pressure work.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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