A cup of water with a temperature of 95C is placed in aroom with a constant temperature

Chapter 8, Problem 59

(choose chapter or problem)

A cup of water with a temperature of \(95^{\circ} \mathrm{C}\) is placed in a room with a constant temperature of \(21^{\circ} \mathrm{C}\).

(a) Assuming that Newton's Law of Cooling applies, use the result of Exercise 58 to find the temperature of the water t minutes after it is placed in the room. [Note: The solution will involve a constant of proportionality.]


(b) How many minutes will it take for the water to reach a temperature of \(51^{\circ} \mathrm{C}\) if it cools to \(85^{\circ} \mathrm{C}\) in 1 minute?

Equation Transcription:

Text Transcription:

95 degree C

21 degree C

51 degree C

85 degree C

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