Volumetric thermal expansion coefficient

In summary, the volumetric thermal expansion coefficient is a measure of the change in volume of a material for every degree of temperature change. It can be calculated by dividing the change in volume by the original volume and the change in temperature. A high value indicates significant expansion when heated, while a low value indicates minimal expansion. It differs from the linear thermal expansion coefficient by taking into account the change in volume, and can be affected by factors such as material type, chemical composition, and temperature.
  • #1
cheez
26
0
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Actually it's a math question. Can I cancel V from both side in step 3? thx!
 
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  • #2
No you can't. You need to take their partial derivative.
 
  • #3
http://farm1.static.flickr.com/122/367693621_f74963f0ea_o.jpg"

I've taken the derivative and substituted beta and k? into it. How to make it looks like step 6?

thx!
 
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What is the definition of volumetric thermal expansion coefficient?

The volumetric thermal expansion coefficient is a measure of the change in volume of a material for every degree of temperature change. It is represented by the symbol α (alpha) and is usually expressed in units of per degree Celsius (°C) or per degree Kelvin (K).

How is the volumetric thermal expansion coefficient calculated?

The volumetric thermal expansion coefficient can be calculated by dividing the change in volume (ΔV) of a material by the original volume (V0) and the change in temperature (ΔT). This can be represented by the formula α = ΔV/(V0ΔT).

What is a high or low value of volumetric thermal expansion coefficient?

A high value of volumetric thermal expansion coefficient indicates that a material will expand significantly when heated, while a low value indicates that the material will expand minimally. This can be important in applications where dimensional stability is crucial, such as in construction or engineering.

How does the volumetric thermal expansion coefficient differ from the linear thermal expansion coefficient?

The volumetric thermal expansion coefficient takes into account the change in volume of a material, while the linear thermal expansion coefficient only considers the change in length. The volumetric coefficient is usually three times larger than the linear coefficient for isotropic materials.

What factors can affect the value of the volumetric thermal expansion coefficient?

The value of the volumetric thermal expansion coefficient can be affected by the type of material, its chemical composition, and its crystal structure. It can also vary with temperature, pressure, and the presence of impurities in the material.

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