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 Q˙ = UA(Ti 2 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 Ti and To are the indoor and outdoor air temperatures, respectively. Determine the indoor air temperature when steady operating conditions are established.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
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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

= UA(Ti 2 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 Ti and To are
the indoor and outdoor air temperatures, respectively. Determine the indoor
air temperature when steady operating conditions are established.

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