Question

4.6.27 Previous Question Question Help Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference C in temperature between the body and the environment around it. The temperature (1) of the body at time in hours after being introduced into an environment having constant temperature To ist) = To Ce, where C and k are constants A cup of coffee with temperature 155°F is placed in a freezer with temperature 0°F. After 15 minutes, the temperature of the coffee is 46° Use Newton's Law of Cooling to find the coffee's temperature after 20 minutes Aher 20 minutes the coffee will have a temperature of F (Round to the nearest integer as needed.)

Answer 1

Given: f(t) = Ttc. e-kt Case-i: t = 15 min - hs. T= 0°F C = 1550 - 155°F f(t) = 46 F -k 46 = + 155.e 155 7 In (3.3695 9565217) 11 alt xlu 1.21478372 9 1.21 =7 9 4.84 11 Case-in should find f(t) at -4.84 f(t) at t= 1/hr fet) - 0+ 155.e f(t) = 155 1.6133 155 f(t) 5 Ifct) = 311 a After terrip. 20 min, the coffee will have 4 31°F