Mathematical Methods in the Physical Sciences · Problem 27

ORDINARY DIFFERENTIAL EQUATIONS — Mary Boas

Mathematics — Methods · newtons-law-of-cooling

Problem

According to Newton's law of cooling, the rate at which the temperature of an object changes is proportional to the difference between its temperature and that of its surroundings. A cup of coffee at 200∘200^\circ in a room of temperature 70∘70^\circ is stirred continually and reaches 100∘100^\circ after 10 min. At what time was it at 120∘120^\circ?

Browse the problem library