The Density of Water by Temperature calculator computes the density of water as a function of temperature, using the standard density of water (ρ) at standard temperature and pressure, and the unique temperature expansion coefficient of water.
INSTRUCTIONS: Choose units and enter the following:
- (T) Temperature of Water
- (β) Volumetric Expansion Coefficient (default: 0.0002 / C° for water)
Density of Water (ρ): The calculator returns the density in kilograms per cubic meters. However, this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
The formula for the density of water based on temperature is:
`ρ = ρ_(H_2O)/(1 + β(T - T_0)`
where:
- ρ is the density of water at a specific temperature
- ρH20 is the nominal density of water
- β is the volumetric temperature expansion coefficient, β for water is 0.0002 / C°
- T0 is standard temperature
- T is the temperature of the water
- NIST Standard temperature is (20 C or 293.15 K or 68 F)
- NIST standard pressure is (101.325 kPa or 14.696 psi or 1 atm)
- The volumetric temperature expansion coefficient, β for water is 0.0002
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