Question

A metal rod .50 m is heated from 15°C to 95°C. The length of the rod increases
by 0.96 mm. What is the coefficient of expansion for the rod?

Answer 1

⚝ Answer ⚝

Formula:

ΔL = Lα(ΔT)

Here :

• ΔL is the change in length

• L is the initial length

• α is the coefficient of linear expansion

• ΔT is change in temperature

Given:

• ΔL = 0.96 mm = 0.00096 m

• L = 0.5 m

• ΔT = 95 - 15 = 80

Process:

Substituting the given values, we get:

0.00096 = 0.5 x α x 80

α = 0.000024

Hence, we can say that coefficient of linear expansion is 0.000024 $C^{-1}$