What is the equation for Water Expansion when

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Water expands when heated, and the equation governing this expansion is dV / Vo = 3*alpha* dT, where dV is the change in volume, Vo is the original volume, alpha is the coefficient of thermal expansion, and dT is the change in temperature. At 20 degrees Celsius, the value of 3*alpha is approximately 207E-6 per °C. While the equation suggests a linear relationship, the provided chart indicates that water expansion may be nonlinear at different temperatures. To derive an equation for specific temperature-induced expansion, one must consider the varying values of alpha across temperature ranges. Understanding these principles is essential for accurate calculations of water expansion.
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What is the equation for Water Expansion when ...

Hi all,

I know that water expands when heated above room temperature.

I just need to know what equations govern this expansion. For example, let's say I add x amount of heat, then water expands x amount.

Is it linear? Is there a maximum amount?

Any links on reading would help.
 
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Coefficient of thermal expansion
 


xxChrisxx said:
Coefficient of thermal expansion

Ok, I found this equation on wikipedia.

dV / Vo = 3*alpha* dT

T: temperature
V: Volume

It gives in a chart for water that 3*alpha is 207E-6 per C at 20 degrees C.

Does that mean that the change in volume (dV) will be 3*alpha*dT*Vo? That seems pretty linear.

The link here: http://www.plumbset.co.uk/waterexpansion.htm
gives a calculator for water expansion and the chart they give (if you click the link) looks nonlinear.

If I am trying to come up with a equation that gives me the amount of expansion if given the temperature what must I do.
 
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