A copper rod of 30 kg initially at the temperature of 300 °C needs to be immersed and fitted tightly into a ABA alloy ring with inner diameter 30.0015 mm found in tank of 100 liters water of 25 °C. (i) Determine the diameter copper when it is 300 °C.
A copper rod of 30 kg initially at the temperature of 300 °C needs to be
immersed and fitted tightly into a ABA alloy ring with inner diameter 30.0015 mm found in tank of 100 liters water of 25 °C. (i) Determine the diameter copper when it is 300 °C. (ii) In your opinion, does the copper rod will still fit tightly into the ABA alloy ring inner diameter 30.0015 in the ambient air condition of 25 °C. Provide your answer in 4 decimal places. Assume the alloy ABA is very small with negligible effect in heat transfer.
[Density for copper = 8890 kg/m3, Specific heat, Ccopper = 385 J/kg.°C;
Coefficient of thermal expansion, αCopper = 18.0 × 10-6 (°C)-1].
[Density for ABA alloy = 8500 kg/m3, Specific heat, CABA = 138 J/kg.°C;
Coefficient of thermal expansion, αABA = 13.3 × 10-6 (°C)-1].
[Density for water = 1000 kg/m3, Specific heat, Cwater = 4200 J/kg.°C].
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