Over a period of time, a hot object cools to the temperature of the surrounding air. This
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Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton’s Law of Cooling:
where t is the time it takes for an object to cool from temperature T0 to temperature T, C is the surrounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 210°F and is left to cool in a room that has a temperature of 70°F. After 30 minutes, the temperature of the cake is 140°F. What is the temperature of the cake after 40 minutes?
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Use To 210 C 70 t 30 and T 140 to determine the constant k TCToC ekt 14070 ...View the full answer
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