Newton\'s law of cooling states that the temperature of an object changes at a r
ID: 1949219 • Letter: N
Question
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 190 degrees Fahrenheit when freshly poured, and 1 minutes later has cooled to 177 degrees in a room at 68 degrees, determine when the coffee reaches a temperature of 147 degrees.The coffee will reach a temperature of 147 degrees in ? minutes.
Explanation / Answer
Y= T-68 109 = 122*e(-k) k= 0.112673162 79= 122* e^(-0.112673162t) t= 3.86 min