On a mild Saturday morning while people are working inside, the furnace keeps the temperature inside the building at 22°C. At noon the furnace is turned off, and the people go home. The temperature outside is a constant 15°C for the rest of the afternoon. If the time constant for the building is 3 hr, when will the temperature inside the building reach 17°C? If some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 17°C?
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