Newton’s law of cooling states that the rate at which a body cools is proportional to the difference between the temperature of the body and that of the medium in which it is situated. A body of temperature 70oF is placed at time t = 0 in a medium the temperature of which is maintained at 40 oF. At the end of 3 min, the body has cooled to a temperature of 50 oF. a) What is the temperature of the body at the end of 10 minutes? b) When will the temperature of the body be 30 oF?

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Newton’s law of cooling states that the rate at which a body cools is proportional to
the difference between the temperature of the body and that of the medium in which it
is situated. A body of temperature 70oF is placed at time t = 0 in a medium the
temperature of which is maintained at 40

oF. At the end of 3 min, the body has cooled

to a temperature of 50
oF.

a) What is the temperature of the body at the end of 10 minutes?
b) When will the temperature of the body be 30
oF?

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