You cool a 195.0-g slug of red-hot iron (temperature 764.0°C) by dropping it into an insulated cup of negligible mass containing 82.0 g of water at 17.0°C. Assuming no heat exchange with the surroundings, what is the final mass of the iron and the remaining water to the nearest 0.1g? [Hint: ciron = 0.470 kJ/(kg⋅K), cwater = 4.190 kJ/(kg⋅K), Lv,water = 2256 kJ/kg.]