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Hello, I am having a hard time understanding the steps in solving question 9.10 from the "Introduction to Chemical Engineering Thermodynamics" 8th edition textbook. I've read your posted solution but I am still not understanding finding the enthalpy at 3' and H'3.  This is the question: A vapor-compression refrigeration system operates on the cycle of Fig. 9.1. The refrigerant is water. Given that the evaporation T = 4°C, the condensation T = 34°C, η(compressor) = 0.76, and th

Hello, I am having a hard time understanding the steps in solving question 9.10 from the "Introduction to Chemical Engineering Thermodynamics" 8th edition textbook. I've read your posted solution but I am still not understanding finding the enthalpy at 3' and H'3.  This is the question: A vapor-compression refrigeration system operates on the cycle of Fig. 9.1. The refrigerant is water. Given that the evaporation T = 4°C, the condensation T = 34°C, η(compressor) = 0.76, and th

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Hello,

I am having a hard time understanding the steps in solving question 9.10 from the "Introduction to Chemical Engineering Thermodynamics" 8th edition textbook. I've read your posted solution but I am still not understanding finding the enthalpy at 3' and H'3. 

This is the question:

A vapor-compression refrigeration system operates on the cycle of Fig. 9.1. The refrigerant is water. Given that the evaporation T = 4°C, the condensation T = 34°C, η(compressor) = 0.76, and the refrigeration rate = 1200 kJ⋅s−1, determine the circulation rate of the refrigerant, the heat-transfer rate in the condenser, the power requirement, the coefficient of performance of the cycle, and the coefficient of performance of a Carnot refrigeration cycle operating between the same temperature levels.

Attached is a copy of Figure 9.1 for reference.

Thank you for your help,

Cristina

**Figure 9.1: Vapor-compression refrigeration cycle.** The image illustrates the vapor-compression refrigeration cycle, which includes two parts: a temperature-entropy (T-S) diagram and a schematic of the cycle's components. ### Temperature-Entropy (T-S) Diagram: - **Axes:** The vertical axis represents temperature (T), while the horizontal axis represents entropy (S). - **Process Path:** - **1 to 2:** The process begins with compression. Moving horizontally to the right, entropy increases, representing the refrigerant being compressed in the compressor. - **2 to 3:** A vertical line upward, showing the refrigerant being condensed in the condenser at constant entropy. - **3 to 4:** The line moves downwards to the left, indicating a throttling process where entropy increases slightly, and the refrigerant expands. - **4 to 1:** The line continues horizontally to the left, showing the evaporative cooling where entropy again increases, completing the cycle. ### Schematic Diagram: - **Components:** - **Evaporator (Point 1 to 2):** The refrigerant absorbs heat and evaporates. - **Compressor (Point 2 to 3):** The refrigerant is compressed, raising its pressure and temperature. - **Condenser (Point 3 to 4):** The refrigerant releases heat and condenses. - **Throttle Valve (Point 4 to 1):** The refrigerant expands, dropping in pressure and starting the cycle again. This process efficiently removes heat from a low-temperature area and releases it into a higher-temperature area, typical of refrigeration systems.
Transcribed Image Text:**Figure 9.1: Vapor-compression refrigeration cycle.** The image illustrates the vapor-compression refrigeration cycle, which includes two parts: a temperature-entropy (T-S) diagram and a schematic of the cycle's components. ### Temperature-Entropy (T-S) Diagram: - **Axes:** The vertical axis represents temperature (T), while the horizontal axis represents entropy (S). - **Process Path:** - **1 to 2:** The process begins with compression. Moving horizontally to the right, entropy increases, representing the refrigerant being compressed in the compressor. - **2 to 3:** A vertical line upward, showing the refrigerant being condensed in the condenser at constant entropy. - **3 to 4:** The line moves downwards to the left, indicating a throttling process where entropy increases slightly, and the refrigerant expands. - **4 to 1:** The line continues horizontally to the left, showing the evaporative cooling where entropy again increases, completing the cycle. ### Schematic Diagram: - **Components:** - **Evaporator (Point 1 to 2):** The refrigerant absorbs heat and evaporates. - **Compressor (Point 2 to 3):** The refrigerant is compressed, raising its pressure and temperature. - **Condenser (Point 3 to 4):** The refrigerant releases heat and condenses. - **Throttle Valve (Point 4 to 1):** The refrigerant expands, dropping in pressure and starting the cycle again. This process efficiently removes heat from a low-temperature area and releases it into a higher-temperature area, typical of refrigeration systems.
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