Four ice cubes at exactly 0°C having a total mass of 53.5 g are combined with 115 g of water at 75°C in an insulated container. If no heat is lost to the surroundings, what will be the final temperature of the mixture? The specific heat capacity of water = 4.184 J / (g°C) and the standard enthalpy of fusion for water = 6.02 kJ/mol.

Question

Mullins

Chemistry

11 June, 16:36

Four ice cubes at exactly 0°C having a total mass of 53.5 g are combined with 115 g of water at 75°C in an insulated container. If no heat is lost to the surroundings, what will be the final temperature of the mixture? The specific heat capacity of water = 4.184 J / (g°C) and the standard enthalpy of fusion for water = 6.02 kJ/mol.

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Eduardo Moody · Answer 1

The final temperature of the mixture is 37.8°C

Explanation:

Standard enthalpy of fusion of water = 6.02kJ/mol = 6.02kJ/mol * 1000J/1kJ * 1mol of water/18g = 334.4J/g

Heat loss by water = heat gained by ice

mc (T1 - T2) = mL

115*4.184 (75 - T2) = 53.5*334.4

75 - T2 = 17890.4/481.16

75 - T2 = 37.2

T2 = 75 - 37.2 = 37.8°C

Final temperature of mixture is 37.8°C