Question

At 17°C, a rod is exactly 20.09 cm long on a steel ruler. Both the rod and the ruler are placed in an oven at 306°C, where the rod now measures 20.18 cm on the same ruler. What is the coefficient of linear expansion for the material of which the rod is made? (in degrees C^-1)

Answer 1

Answer:

$\alpha =15.5\times 10^{-6}\ C^{-1}$

Explanation:

Given that

At 17°C  ,Lo= 20.09 cm

At 306°C ,L= 20.18 cm

ΔL= 200.18 - 20.09 = 0.09 cm

ΔT = 306 - 17 = 289°C

We know that

ΔL = L α ΔT

α =coefficient of linear expansion

ΔL = Lo x α x  ΔT

0.09 = 20.09 x α x 289

$\alpha =15.5\times 10^{-6}\ C^{-1}$

Coefficient of linear expansion,$\alpha =15.5\times 10^{-6}\ C^{-1}$