(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that the volume thermal expansion coefficient of a solid is equal to the sum of its linear expansion coefficients in the three directions. [itex]\beta[/itex]=[itex]\alpha[/itex]x +[itex]\alpha[/itex]y+[itex]\alpha[/itex]z

For isotopic solid when [itex]\beta[/itex] = 3[itex]\alpha[/itex]

2. Relevant equations

[itex]\beta[/itex]=[1/v][dv/dt]p= [itex]\alpha[/itex]x +[itex]\alpha[/itex]y+[itex]\alpha[/itex]z

3. The attempt at a solution

I have looked at several websites but can't seem to get it.

http://www.ami.ac.uk/courses/topics/0197_cte/index.html [Broken]

http://en.wikipedia.org/wiki/Coefficient_of_thermal_expansion

I thought about just plugging in the [itex]\beta[/itex] but I don't think that is correct.

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# Homework Help: Thermodynamics- thermal expansion coefficient

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