Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the dT temperature of the body. That is, = K[M(t) – T(t)], where K is a constant. Let K = 0.03 (min)' and the temperature of the medium be constant, M(t) = 290 kelvins. If the body is dt initially at 359 kelvins, use Euler's method withh = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.

Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the dT temperature of the body. That is, = K[M(t) – T(t)], where K is a constant. Let K = 0.03 (min)' and the temperature of the medium be constant, M(t) = 290 kelvins. If the body is dt initially at 359 kelvins, use Euler's method withh = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter19: Temperature, Thermal Expansion And Gas Laws

Section: Chapter Questions

Problem 39PQ

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