11.8 A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at 27.0 °C. What is the change in the diameter of the hole when the sheet is heated to 227 °C?
Coefficient of linear expansion of copper = 1.70 × 10–5 K–1.
11.8 A hole is drilled in a copper sheet. The diameter of the hole is 4.24 cm at 27.0 °C. What is the change in the diameter of the hole when the sheet is heated to 227 °C?
Coefficient of linear expansion of copper = 1.70 × 10–5 K–1.
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1 Answer
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11.8 Initial temperature, = 27.0 °C, Initial diameter of the hole, = 4.24 cm
Final temperature, = 227.0 °C, Final diameter of the hole
Coefficient of linear expansion of copper, = 1.70 K–1
We know
= T where is the coefficient of superficial expansion,
= T
= T
- 1= 2 1.70 (227-27) = 6.8
= 4.2544 cm
So change in diameter = 4.2544 – 4.24 = 0.01439 cm
Diameter increase by 1.44 cm
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