An aluminum cylinder is removed from a liquid nitrogen bath (below freezing point of water). The cylinder is immediately placed in an insulated cup containing water. Recall that we just calculated that the heat absorbed by aluminum is 1.984 104 J, and the heat given off by water is 5.023 103 J as they reach the temperature of 0 C without forming any ice. Determine the amount of water that has actually frozen in kg. The coefficient of latent heat of fusion for water is 33.5 104 J/kg.