GATE ME 2016 Set 1 — Question 59
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Manufacturing Processes → Casting → Pure Substances & Phase Change
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Question
Heat is removed from a molten metal of mass kg at a constant rate of kW till it is completely solidified. The cooling curve is shown in the figure.
Assuming uniform temperature throughout the volume of the metal during solidification, the latent heat of fusion of the metal (in kJ/kg) is
Correct answer
49.9 to 50.1
Solution
Given:
Mass of the metal, kg
Heat removal rate, kW kJ/sFrom the cooling curve, solidification occurs at a constant temperature (the horizontal portion of the graph).
Solidification starts at s and ends at s.Duration of solidification, s.Total heat removed during the solidification process,
kJThe latent heat of fusion () is given by the formula:
kJ/kg.Thus, the latent heat of fusion of the metal is kJ/kg.
Mass of the metal, kg
Heat removal rate, kW kJ/sFrom the cooling curve, solidification occurs at a constant temperature (the horizontal portion of the graph).
Solidification starts at s and ends at s.Duration of solidification, s.Total heat removed during the solidification process,
kJThe latent heat of fusion () is given by the formula:
kJ/kg.Thus, the latent heat of fusion of the metal is kJ/kg.
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