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Specific heat capacity of water at constant volume

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
$c_{v,w}$
Unit
J/(kg.K)
Formulae
$3.2368{\cdot}{10}^{-4} {\theta_w}^3+4.7344{\cdot}{10}^{-2} {\theta_w}^2-2.20064\theta_w+4217.4$
Related
$\theta_w$
Water temperature [°C]
Choices
Liquid0.01°C10°C20°C25°C30°C
Fresh water4217.44191.04157.04137.94117.5