Density of water and temperature

Is there a formula that shows how the density of water is affected by temperature? 


For example, with the speed of sound it can be shown how temperature will affect the speed:


$$V = 331\ \mathrm{m/s} + \left(0.6\ \mathrm{\frac{m/s}{°C}}\right)T$$


Is there a similar formula that relates the density of a liquid to temperature? (in this case, water)




In general, we can derive the expression for the density of any substance as a function of temperature using the definition of [thermal expansion](http://en.wikipedia.org/wiki/Thermal_expansion).


$$\frac{\mathrm dV}{\mathrm dT}=\alpha V\tag1$$


By differentiating $\rho=m/V$, we can show that $\mathrm d\rho/\rho = -\mathrm dV/V$. So using this and equation $\text{(1)}$,


$$\frac{\mathrm d\rho}{\mathrm dT}=-\alpha V\tag2$$


Integrating this above expression and approximating the expression,


$$\rho = \rho^\circ\cdot\left(1-\alpha\Delta T\right)\tag3$$


where $\rho^\circ$ is the initial density at the initial temperature, $\alpha$ is the volumetric thermal expansion coefficient and $\Delta T$ is the temperature.  

For water, $\alpha$ is typically [$207\times10^{-6}\ \mathrm{K^{-1}}$](http://en.wikipedia.org/wiki/Thermal_expansion#Thermal_expansion_coefficients_for_various_materials) at $20\ \mathrm{^\circ C}$. Using this, we can observe how temperature affects the density of water.


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