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Calculate the mass of ice that would melt when ... - JAMB Physics 1999 Question

Calculate the mass of ice that would melt when 2kg of copper is quickly transferred from boiling water to a block of ice without heat loss;

Specific heat capacity of copper = 400JKg-1K-1

Latent heat of fusion of ice = 3.3 x 105JKg-1

A
8/33kg
B
33/80kg
C
80/33kg
D
33/8kg
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Correct Option: A

Heat given off by the copper = MCt

= 2 x 400 x (100 - 0)

Heat absorbed by the ice = ML

= M x 3.3 x 105

Heat lost = Heat gained

∴ M x 3.3 x 105 = 2 x 400 x 100

∴ M = (2 x 400 x 100)/3.3 x 105

= 8/33Kg

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