Identify this formula (related to thermodynamics applied to solids)

[anpl]

Hi all,

I've been for quite a while trying to identify this formula.

dV / V = β ΔT - κ Δp

where β is the thermal coefficient of volume expansion and κ is the isothermal compressibility.

I think it's related to thermodynamics applied to solids and I can understand relations between the nominal variation of volume which is proportional to the difference in temperature. And likewise, its relation to an increase in pressure (external).

What I can't say is in what context we learn this, and in what book this formula is written.

Many thanks in advance!

 

[DrClaude]

You can start by checking out https://en.wikipedia.org/wiki/Material_properties_(thermodynamics)

Looking at the books on thermodynamics I have, they don't seem to cover the subject in detail (e.g., it appears only as part of an exercise). Books on solid state physics might be a better source for this.

 

[Lord Jestocost]

It is the expression for the total differential of the volume of a closed system. You can find it, for example, in the book „THERMODYNAMICS AND CHEMISTRY“ by Howard DeVoe: http://www2.chem.umd.edu/thermobook/downloads.htm