Answered: A fresh hot cup of coffee is 84°C and…

A fresh hot cup of coffee is 84°C and the room temperature is 20.3°C. After 5 minutes, the temperature of the coffee is 72.7°C. Solve for the constant of proportionality, k.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 5OQ

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Concept explainers

Calorimetry

Measuring the heat transferred during chemical reactions or other physical processes is known as calorimetry. It comes under the branch of thermochemistry.

Question

A fresh hot cup of coffee is 84°C and the room temperature is 20.3°C. After 5 minutes, the temperature of the coffee is 72.7°C. Solve for the constant of proportionality, k.

Expert Solution

Step 1

Given:

Initial temperature of coffee T₁ = 84 ^oC.

Final temperature of coffee T₂ = 72.7 ^oC.

Time taken to decrease the temperature = 5 min.

Temperature of room T_o = 20.3 ^oC.

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