Skip main navigation

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

Note $$a$$L vs $$a$$V
({ 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.

This article is from the free online

Thermodynamics in Energy Engineering

Created by
FutureLearn - Learning For Life

Reach your personal and professional goals

Unlock access to hundreds of expert online courses and degrees from top universities and educators to gain accredited qualifications and professional CV-building certificates.

Join over 18 million learners to launch, switch or build upon your career, all at your own pace, across a wide range of topic areas.

Start Learning now