The heat capacity of liquid water is 75.6 J/K-mol, while the enthalpy of fusion of ice is 6.0 kJ/mol. What is the smallest number of ice cubes at 0°C, each containing 9.0 g of water, needed to cool 50

Question

The heat capacity of liquid water is 75.6 J/K-mol, while the enthalpy of fusion of ice is 6.0 kJ/mol. What is the smallest number of ice cubes at 0°C, each containing 9.0 g of water, needed to cool 500 g of liquid water from 20°C to 0°C?

TestHub · Accepted Answer

Heat to be removed from the liquid: q = 500/18(75.6)(20) = 4.2×10 4 J. One cube is 0.5 mol and absorbs 0.5×6000 = 3000 J on melting (the melt water stays at 0°C). Number of cubes = 42000/3000 = 14. Matches (c).

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