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Newton's law of cooling/heating states that the time rate of change of temperature of a cooling/heating...

Newton's law of cooling/heating states that the time rate of change of temperature of a cooling/heating object is proportional to the difference between the temperature of the object and the ambient temperature of the medium where the object resides.

If we let Ta represent the ambient temperature and T represent the temperature of the object then a DE representing this situation is

dT/dt=k(T−Ta)

where k<0.

When a coil of steel is removed from an annealing furnace its temperature is 684 C. Four minutes later its temperature is 246 C. How long will it take to reach 100 C? Assume that room temperature is 27 C.

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