eAge Tutor


Volumetric Expansion


Volumetric Expansion

Volume expansion works almost exactly like linear expansion. If an object or substance of initial volume Vi undergoes a change in temperature ΔT, then its volume will change by an amount
ΔV = βViΔT 

What is volumetric expansion?

"Volumetric expansion" or "cubical expansion" is the increase in the volume of a body when it is heated. 
Consider a metallic body of volume = V1. Let its temperature be raised by ΔT. Experiments will then show that its increase in volume (ΔV) will be directly proportional to its initial volume (V1) and the rise in temperature (ΔT). 
ΔV V1---------(1)
ΔV T---------(2)
combining (1) and (2)
ΔV = βV1ΔT
Where β is a constant known as the material’s "coefficient of volumetric expansion" 

Expression for Final Volume

We know that 
Final volume = Initial volume + increase in volume 
V2 = V1 + Δ
Which makes the value of ΔV
V2 = V1 + βV1Δ
V2 = V1( 1+ βΔT)

Coefficient of Volumetric Expansion

A material’s coefficient of volumetric expansion (β) is defined as its increase in volume per unit original volume per Kelvin rise in temperature. 
Unit:1K OR K-1
β= 3α
For example, the value of a for a solid object does not depend on whether we are talking about its length or width. Such an object is called an isotropic solid. In this case, the volume expansion coefficient b is simply given by
β= 3α. (Isotropic solid)
Unless stated otherwise, we shall assume that any solid material that we are working with can be treated as an isotropic solid.
Want to know more about volumetric expansion? Click here to schedule live help with an etutor!

About eAge online Tutoring 

eAgeTutor.com is the premium online tutoring provider. Using materials developed by highly qualified educators and leading content developers, a team of top-notch software experts, and a group of passionate educators, eAgeTutor works to ensure the success and satisfaction of all of its students.
Contact us today to learn more about our guaranteed results and discuss how we can help make the dreams of the student in your life come true!

Reference links



Blog Subscription