While making a sword, a blacksmith receives an emergency phone call and has to take her sword directly out of the furnace (1200C) and place it in a cooling bath filled with water, which is initially at room temperature (26C). The sword can be modeled as 2 kg of steel with constant specific heat, =0.59 kJ kg-1 K-1. Treat the water as having constant properties (e.g. ; NOT ) at 300 K. What is the minimum mass of water that needs to be in the cooling bath so that none of the water vaporizes? Assume there is no energy exchange between the water bath or the sword and the surroundings, and that the atmospheric pressure is 100 kPa