According to Newtons law of Cooling, the rate at which a substance cools in air is proportional to the difference between the temperature of the substance and that of the air. If the temperature of the air is 30°C and the substance cools from 100°C to 70°C in 15 min, find the time when the temperature will be 40°C. Determine also the temperature of the substance at t = 18 min.

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According to Newtons law of Cooling, the rate at which a substance cools in air is
proportional to the difference between the temperature of the substance and that of
the air. If the temperature of the air is 30°C and the substance cools from 100°℃ to
70°C in 15 min, find the time when the temperature will be 40°C. Determine also the
temperature of the substance at t = 18 min.
Transcribed Image Text:According to Newtons law of Cooling, the rate at which a substance cools in air is proportional to the difference between the temperature of the substance and that of the air. If the temperature of the air is 30°C and the substance cools from 100°℃ to 70°C in 15 min, find the time when the temperature will be 40°C. Determine also the temperature of the substance at t = 18 min.
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