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Specific heat capacity of water at constant pressure

The specific heat capacity of a material on a per mass basis is $c=\delta{C}/\delta{m}$. with $C$ being the heat capacity of a body made of the material and $m$ being the mass of the body. It is the amount of heat required to change the temperature of a mass unit of a substance by one degree. When calculating mass and volume flow in a water heating systems at higher temperature, the specific heat should be corrected.

The sources are:

Symbol
$c_{p,w}$
Unit
J/(kg.K)
Formulae
$1.0254{\cdot}{10}^{-4} {\theta_w}^3+9.6457{\cdot}{10}^{-2} {\theta_w}^2-3.2983\theta_w+4219.9$
Related
$\theta_w$
Water temperature [°C]
Used in
$C_{v,soil}$
Heat capacity of a unit volume of soil [J/(K.m$^3$)]
$\mathrm{Pr}_w$
Prandtl number for water
Choices
Liquid0.01°C10°C20°C25°C30°C
Fresh water4219.94195.54184.44181.64180.1