Project ForgeManufacturing Engineering
Metal Casting
GATE 2016
Medium
Heat is removed from a 2 kg mass of molten metal at a constant rate of 10 kW until it is completely solidified. The cooling curve shows a plateau at 873 K from t=10s to t=20s (constant-temperature solidification). Assuming uniform temperature throughout the volume, the latent heat of fusion of the metal (in kJ/kg) is __________.
50 kJ/kg(± 0.1 accepted)
Explanation
During the 10 s solidification plateau (10s to 20s), heat removed = 10 kW × 10 s = 100 kJ. This equals the latent heat released: L = 100 kJ / 2 kg = 50 kJ/kg.
Source: GATE ME 2016 Set-1 (2016)
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