0.3-L glass of water at 20C is to be cooled with ice to 5C. Determine how much ice needs to be added to the water, in grams, if the ice is at (a) 0C and (b) –20C. Also (c) determine how much water would be needed if the cooling is to be done with cold water at 0C. The melting temperature and the heat of fusion of ice at atmospheric pressure are 0C and 333.7 kJ/kg, respectively, and the density of water is 1 kg/L.

Explanation:

First we need to state our assumptions:

Thermal properties of ice and water are constant, heat transfer to the glass is negligible, Heat of ice

Mass of water,.

Energy balance for the ice-water system is defined as

a.The mass of ice at is defined as:

b.Mass of ice at is defined as:

c.Mass of cooled water at

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