0.4-L glass of water at 20°C is to be cooled with ice to 5°C. The density of water is 1 kg/L, and the specific heat of water at room temperature is c = 4.18 kJ/kg·°C. The specific heat of ice at about 0°C is c = 2.11 kJ/kg·°C. The melting temperature and the heat of fusion of ice at 1 atm are 0°C and 333.7 kJ/kg. Determine how much ice needs to be added to the water, in grams, if the ice is at 0°C. Also 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.