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On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 22°C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 34°C for the rest of the afternoon. If the time constant for the building is 4 hr, what will be the temperature inside the building at 3:00 P.M.? At 6:00 P.M.? When will the temperature inside the building reach 26°C?

On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 22°C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 34°C for the rest of the afternoon. If the time constant for the building is 4 hr, what will be the temperature inside the building at 3:00 P.M.? At 6:00 P.M.? When will the temperature inside the building reach 26°C?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 22°C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 34°C for the rest of the afternoon. If the time constant for the building is 4 hr, what will be the temperature inside the building at 3:00 P.M.? At 6:00 P.M.? When will the temperature inside the building reach 26°C? At 3:00 P.M., the temperature inside the building will be about °C. (Round to the nearest tenth as needed.)
Transcribed Image Text:On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 22°C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 34°C for the rest of the afternoon. If the time constant for the building is 4 hr, what will be the temperature inside the building at 3:00 P.M.? At 6:00 P.M.? When will the temperature inside the building reach 26°C? At 3:00 P.M., the temperature inside the building will be about °C. (Round to the nearest tenth as needed.)
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