Newton’s law of cooling says that the rate at which a body cools is proportional to the difference in temperature betwee
Posted: Thu Jul 07, 2022 12:05 pm
Newton’s law of cooling says that the rate at which a body coolsis proportional to the difference in temperature between the bodyand an environment into which it is introduced. Using calculus, wecan find the temperature F(t) of the body at time t after beingintroduced into an environment having constant temperture T0 isF(t) = T0 + C b t , where C and b are constants. Use this result inthe following exercise. Boiling water at 100° Celsius is placed ina freezer at -18° Celsius. The temperature of the water is 50°Celsius after 24 minutes. Find the temperature of the water after76 minutes.