Question

An ice cube has a temperature of -15. 0°C


The total thermal energy needed to raise the temperature of this ice cube to 0. 0°C


and completely melt the ice cube is 5848 J


specific heat capacity of ice = 2100 J/kg ^*C


specific latent heat of fusion of ice = 334 000 J/kg




Calculate the mass of the ice cube.


(5 marks)

Answer 1

The mass of the ice cube that will be completely melted by the given amout of heat energy is 16 g.

Mass of the ice

The mass of the ice cube that will be completely melted by the given amout of heat energy is calculated as follows;

Q = mcΔθ + mL

5848 = m(2100) x [(0 - (-15)] + 334000m

5848 = 31500m +  334000m

5848 = 365,500 m

m = 5848/365,500

m = 0.016 kg

m = 16 g

Thus, the mass of the ice cube that will be completely melted by the given amout of heat energy is 16 g.

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