Newton\'s law of cooling states that the temperature of an object changes at a r

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 129 degrees in 129 degrees. The coffee will reach a temperature of degrees, determine when the coffee reaches a temperature of degrees in a room at minutes later has cooled to degrees Fahrenheit when freshly poured, and

Explanation / Answer

dT/dt = -K(T-62) ln((174-62)/(190-62))=-k1.5 k=.099 ln(129-62/190-62)=-.099t t=6.5 min

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