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Hot Water Versus Steam Heating. In a household hot-water

Chapter 17, Problem 100P

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QUESTION:

Hot Water Versus Steam Heating. In a household hot-water heating system, water is delivered to the radiators at 70.0o C (158.0o F) and leaves at 28.0o C (82.4o F). The system is to be replaced by a steam system in which steam at atmospheric pressure condenses in the radiators and the condensed steam leaves the radiators at 35.0o C (95.0o F). How many kilograms of steam will supply the same heat as was supplied by 1.00 kg of hot water in the first system?

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QUESTION:

Hot Water Versus Steam Heating. In a household hot-water heating system, water is delivered to the radiators at 70.0o C (158.0o F) and leaves at 28.0o C (82.4o F). The system is to be replaced by a steam system in which steam at atmospheric pressure condenses in the radiators and the condensed steam leaves the radiators at 35.0o C (95.0o F). How many kilograms of steam will supply the same heat as was supplied by 1.00 kg of hot water in the first system?

ANSWER:

Solution to 100P Step 1 Specific heat capacity of water =4190J/K 3 Latent heat of vaporization =2256x10 J/kg Initial temperature of water=70=343K Final temperature of water =28 =301K Change in temperatureT =42K W Initial temperature of steam =100 =373K Final temperature of steam =35 =308K Change in temperature T =65K S

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