VOLUMETRIC EXPANSION

VOLUMETRIC EXPANSION

Increase in volume of a body on heating is referred to as "VOLUMETRIC EXPANSION " or "CUBICAL EXPANSION".

Consider a metallic body of volume = V1 . Let it's temperature is raised by ∆T. then experimentally "Increase in volume ( ∆V) is directly proportional to its initial volume (V1) and rise in temperature ( ∆T).

∆V α V₁---------(1)
∆V α ∆T---------(2)
combining (1) and (2)
∆V α V₁ ∆T
OR

∆V = β V₁ ∆T
Where β is constant known as "coefficient of volumetric expansion"

EXPRESSION FOR FINAL VOLUME

We know that

Final volume = Initial volume + increase in volume

V₂ = V₁ + ∆V

Putting the value of ∆V

V₂ = V₁ + βV₁∆T

V₂= V₁( 1+ β ∆T)

COEFFICIENT OF VOLUMETRIC EXPANSION

Coefficient of volumetric expansion ( β) is defined as:

"increase in volume per unit original volume per Kelvin rise in temperature is called coefficient of volumetric expansion."

Unit: 1/K

Related Topics

GALAXY