`rho(T) = rho_(H_2O)/ (1 + beta ( T - T_0))`

Enter a value for all fields

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
• ρ_H20 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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