Show that β ≈ 3α, by calculating the change in volume ΔV of a cube with sides of length L. 13.3 The Ideal Gas Law
The change in length is denoted by, the change in temperature is denoted byand the coefficient of linear expansion is denoted by, that varies slightly with temperature.
Assume Vo as the initial volume of the cube and Lo as its initial length so,
= (Lo + 3
V = (Lo + o)3
= Lo3 (1 + 3
Sinceis small, binomial expansion is applied as,
V = Lo3 (1 + 3