Solution Found!
A Carnot engine and a Carnot refrigerator operate between
Chapter 18, Problem 96GP(choose chapter or problem)
Problem 96GP
A Carnot engine and a Carnot refrigerator operate between the same two temperatures. Show that the coefficient of performance, COP, for the refrigerator is related to the efficiency, e,of the engine by the following expression; COP = (1 – e)/e.
Questions & Answers
QUESTION:
Problem 96GP
A Carnot engine and a Carnot refrigerator operate between the same two temperatures. Show that the coefficient of performance, COP, for the refrigerator is related to the efficiency, e,of the engine by the following expression; COP = (1 – e)/e.
ANSWER:
Solution 96GP
Step 1 of 2
Efficiency of Carnot engine,
Where, - Temperature of the cold reservoir
- Temperature of the hot reservoir
The coefficient of performance,
- Heat in the cold reservoir
- Work done
Where - Heat in the hot reservoir