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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

2 Answers

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

Answer:

Too Cold After about 5 minutes his coffee will be about 90 degrees F

Explanation:

User James Salamon
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