Newton\'s law of cooling states that the temperature of an object changes at a r
ID: 1888197 • 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 195 degrees Fahrenheit when freshly poured, and 1 minutes later has cooled to 185 degrees in a room at 72 degrees, determine when the coffee reaches a temperature of 155 degrees. The coffee will reach a temperature of 155 degrees in minutes.Explanation / Answer
The answer is 4.6387 minutes or 278.32 seconds.