1 Early Monday morning, the temperature in the lecture hall has fallen to 41°F, the same as the temperature outside. At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 72°F. The time constant for the building is =3 hr and that for the building along with its heating system is K₁ 1 3 hr. Assuming that the outside temperature remains constant, what will be the temperature inside the lecture hall at 8:00 A.M.? When will the temperature inside the hall reach 70°F? At 8:00 A.M., the temperature inside the lecture hall will be about °F. (Round to the nearest tenth as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Early Monday morning, the temperature in the lecture hall has fallen to 41°F, the same as the temperature outside. At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 72°F. The time constant for the building is =3 hr and that for the building along with its
1 1
heating system is =hr. Assuming that the outside temperature remains constant, what will be the temperature inside the lecture hall at 8:00 A.M.? When will the temperature inside the hall reach 70°F?
K₁
At 8:00 A.M., the temperature inside the lecture hall will be about°F.
(Round to the nearest tenth as needed.)
C
Transcribed Image Text:1 Early Monday morning, the temperature in the lecture hall has fallen to 41°F, the same as the temperature outside. At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 72°F. The time constant for the building is =3 hr and that for the building along with its 1 1 heating system is =hr. Assuming that the outside temperature remains constant, what will be the temperature inside the lecture hall at 8:00 A.M.? When will the temperature inside the hall reach 70°F? K₁ At 8:00 A.M., the temperature inside the lecture hall will be about°F. (Round to the nearest tenth as needed.) C
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