Consider the air conditioning of a house through use of solar energy. At a particular location experiment has shown that solar radiation allows a large tank of pressurized water to be maintained at 448.15 K (175°C). During a particular time interval, heat in the amount of 1500 W must be extracted from the house to maintain its temperature at 297.15 K (24°C) when the surroundings temperature is 306.15 K (33°C). Treating the tank of water, the house, and the surroundings as heat reservoirs, determine the minimum amount of heat that must be extracted from the tank of water by any device built to accomplish the required cooling of the house. No other sources of energy are available.