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# Water Density by Temperature

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Equation / Last modified by KurtHeckman on 2018/08/17 19:29
`rho(T) = `

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MichaelBartmess.Water Density by Temperature

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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**) This is the temperature of the 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.

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### 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
- T
_{0}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

This equation,

**Water Density by Temperature**, references 2 equations/constants.**Equations and Constants **

This equation,

**Water Density by Temperature**, is used in 1 equation/constant.**Equations and Constants **