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Thermal expansion coefficient: derivation of relationship between linear expansion and volume expansion

\({ \alpha }_{ L }\) VS \({ \alpha }_{ V }\)

In calculating entropy change for a solid under isothermal pressure change, we used thermal volume expansion coefficient (\({ \alpha }_{ V }\)). However, in most cases, not volume but linear expansion coefficients (\({ \alpha }_{ L }\)) are available. In the video, we used the relationship

\({ \alpha }_{ V }\)=3\({ \alpha }_{ L }\)

Here, let’s derive this relationship.

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This article is from the free online course:

Thermodynamics in Energy Engineering

Hanyang University