Question

Newtons law of cooling states that the rate of change of the temperature T of an object is proportional to the difference between T and the (constant) temperature t of the surrounding medium. We can write it as dTdt=−K(T−t),K>0constant.
A cup of coffee is served at 185∘F in a room where the temperature is 65∘F. Two minutes later the temperature of the coffee has dropped to 155∘F.(log 3/4=0.144, log3 = 1.09872). Find the time required for coffee to have 105∘F temperature.

Answer 1

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