Use Newton's Law of Cooling, T2 = T0 + (T1 - T0) e-kt, where T0 = Temperature of the surrounding area, T1 = Initial coffee temperature, k = a constant that depends on the material properties of the object and t = change in time in minutes, to solve the following problem. Alex likes his coffee at a temperature of 135F. If he pours a cup of 170F coffee in a 72F room and waits 5 minutes before drinking, will his coffee be too hot or too cold? Explain. For Alex's cup,. k=0.34

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Rose Coffey

15 November, 03:05

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Kassidy · Answer 1

T2 = 72 + (170-72) e^ (-0.34*5) = 89.9F < 135F Too cold.