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...
icon
Related questions
Question
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.
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

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Thermodynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY