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

`\alpha =15.5* 10^(-6)\ C^(-1)`

Step-by-step 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* 10^(-6)\ C^(-1)`

Coefficient of linear expansion,
`\alpha =15.5* 10^(-6)\ C^(-1)`