10. Early Monday morning, the temperature in the lecture hall has fallen to 40ºF, the same as the temperature outside. At 7:00 A.M., the janitor turns on the furnace with the thermostat set at 70ºF. The time constant for the building is 1/k = 2 hr and that for the building along with its heating system is 1/k1 = ½ 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 65ºF?
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