Solution Found!
Answer: Refrigeration and Heat Pump Cycle ApplicationsAn
Chapter 5, Problem 53P(choose chapter or problem)
An inventor claims to have devised a refrigeration cycle operating between hot and cold reservoirs at 300 K and 250 K, respectively, that removes an amount of energy \(Q_{\mathrm{C}}\) by heat transfer from the cold reservoir that is a multiple of the net work input—that is, \(Q_{\mathrm{C}}=\mathrm{N} W_{\text {cycle }}\), where all quantities are positive. Determine the maximum theoretical value of the number N for any such cycle.
Questions & Answers
QUESTION:
An inventor claims to have devised a refrigeration cycle operating between hot and cold reservoirs at 300 K and 250 K, respectively, that removes an amount of energy \(Q_{\mathrm{C}}\) by heat transfer from the cold reservoir that is a multiple of the net work input—that is, \(Q_{\mathrm{C}}=\mathrm{N} W_{\text {cycle }}\), where all quantities are positive. Determine the maximum theoretical value of the number N for any such cycle.
ANSWER:Solution 53P
Step 1 of 5
Here our aim is to determine the maximum theoretical value of the number N for the refrigerator developed by the inventor for the given parameters.
For this, we need to find the coefficient of performance of the refrigerator he developed, and the maximum theoretical coefficient for a reversible refrigeration cycle for the given parameters and then determine the maximum value of N.