Calculate the mass of ice that would melt when 2kg of copper is quickly transferred...

JAMB 1999

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 Answer: Option A

Explanation

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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