8. A room is initially at the outdoor temperature of 25°C. Now a large fan that consumes 200 W of electricity when running is turned on. The heat transfer rate between the room and the outdoor air is given as QUA(T-To) where U= 6 W/m2 °C is the overall heat transfer coefficient, A= 30 m² is the exposed surface area of the room, and T, and To are the indoor and outdoor air temperatures, respectively. Determine the indoor air temperature when steady operating conditions are established.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8. A room is initially at the outdoor temperature of 25°C. Now a large fan that consumes 200
W of electricity when running is turned on. The heat transfer rate between the room and the
outdoor air is given as QUA(TI- To) where U = 6 W/m2 °C is the overall heat transfer
coefficient, A= 30 m² is the exposed surface area of the room, and T₁ and To are the indoor and
outdoor air temperatures, respectively. Determine the indoor air temperature when steady
operating conditions are established.
Fan
Transcribed Image Text:= 8. A room is initially at the outdoor temperature of 25°C. Now a large fan that consumes 200 W of electricity when running is turned on. The heat transfer rate between the room and the outdoor air is given as QUA(TI- To) where U = 6 W/m2 °C is the overall heat transfer coefficient, A= 30 m² is the exposed surface area of the room, and T₁ and To are the indoor and outdoor air temperatures, respectively. Determine the indoor air temperature when steady operating conditions are established. Fan
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