A cup of rather dilute hot tea initially at 140 degrees F is served to a customer at Howard Johnson's. Unfortunately, before they get around to drinking it, it has spontaneously cooled off to 100 degrees F. Whenever a process takes place spontaneously, there is "free energy" available for the taking if you are clever enough to figure out how to extract it. What is the maximum amount of work you could extract from the cooling process. The temperature of the restaurant (the surroundings) is 70 degrees F. The tea has a mass of 200g.
A cup of rather dilute hot tea initially at 140 degrees F is served to a customer at Howard Johnson's. Unfortunately, before they get around to drinking it, it has spontaneously cooled off to 100 degrees F. Whenever a process takes place spontaneously, there is "free energy" available for the taking if you are clever enough to figure out how to extract it. What is the maximum amount of work you could extract from the cooling process. The temperature of the restaurant (the surroundings) is 70 degrees F. The tea has a mass of 200g.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Transcribed Image Text:A cup of rather dilute hot tea initially at 140 degrees F is served to a customer at Howard Johnson's.
Unfortunately, before they get around to drinking it, it has spontaneously cooled off to 100 degrees F.
Whenever a process takes place spontaneously, there is "free energy" available for the taking if you are
clever enough to figure out how to extract it. What is the maximum amount of work you could extract
from the cooling process. The temperature of the restaurant (the surroundings) is 70 degrees F. The tea
has a mass of 200g.
Expert Solution
Step 1
Mass of tea = 200g = m
Initial temp = Ti = 140°F = 60°C
Final temp = Tf = 100°F = 37.7°C
Specific heat capacity of water = C = 4.18J/g°C
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