Question

Some iron has a coefficient of linear expansion of 12 x 10-6 / o K . A 100 mm length of iron piping is heated through 20 K. The pipe extends by:

Answer 1

Given that the linear expansion of the pipe is 12×10¯⁶ K¯¹, the pipe extends by 0.024 mm

Data obtained from the question

• Original length (L₁) = 100 mm
• Change in temperature (ΔT) = 20 K
• Coefficient of expansion (α) = 12×10¯⁶ K¯¹
• Change in length (ΔL) =?

How to determine the new diameter

α = ΔL / L₁ΔT

12×10¯⁶ = ΔL / (100 × 20)

12×10¯⁶ = ΔL / 2000

Cross multiply

ΔL = 12×10¯⁶ × 2000

ΔL = 0.024 mm

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