A well-insulated 3-m * 4-m * 6-m room initially at 7°C is heated by the radiator of a steam-heating system. The radiator has a volume of 15 L and is filled with superheated vapor at 200 kPa and 200°C. At this moment both the inlet and the exit valves to the radiator are closed. A 120-W fan is used to distribute the air in the room. The pressure of the steam is observed to drop to 100 kPa after 45 min as a result of heat transfer to the room. Assuming constant specific heats for air at room temperature, determine the average temperature of air in 45 min. Assume the air pressure in the room remains constant at 100 kPa.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
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A well-insulated 3-m * 4-m * 6-m room initially at
7°C is heated by the radiator of a steam-heating system. The
radiator has a volume of 15 L and is filled with superheated
vapor at 200 kPa and 200°C. At this moment both the inlet
and the exit valves to the radiator are closed. A 120-W fan
is used to distribute the air in the room. The pressure of the
steam is observed to drop to 100 kPa after 45 min as a result
of heat transfer to the room. Assuming constant specific heats
for air at room temperature, determine the average temperature
of air in 45 min. Assume the air pressure in the room
remains constant at 100 kPa.

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