An Ideal Gas Refrigeration Cycle is a Brayton Cycle run in reverse as shown in the schematic below. In this system, the Compressor Ratio (P2/P1) is 3, and air enters the compressor at −23°C (Stream 1) and leaves Heat Exchanger 1 at 25°C (Stream 3). Solve this problem by assuming that air behaves as an ideal gas with constant heat capacity as given below): a) Draw the cycle on P-V and T-S diagrams. Also show for which process QH, Qc, Win, and Wout cross the system boundary. You do not need to give numerical values for the pressures and temperatures, but show relative changes correctly. b) Find the maximum temperature of the cycle in °C. c) Find the Coefficient of Performance (COPRef) for the cycle. Data of air: Cp = 1.005 kJ/kg R = 0.287 kJ/kg∙K Cycle Steps: 1-2: Isentropic Compression 2-3: Constant Pressure Heat Rejection 3-4: Isentropic Expansion 4-1: Constant Pressure Heat Addition **Ideal Gas Refrigeration Cycle****Tasks:**a) Draw the cycle on P-V and T-S diagrams. Show the processes where \(Q_H\), \(Q_C\), \(W_{in}\), and \(W_{out}\) cross the system boundary, indicating relative changes without providing numerical values.b) Calculate the maximum temperature of the cycle in °C.c) Determine the Coefficient of Performance (\(COP_{Ref}\)) for the cycle.**Data of air:**- \(C_p = 1.005 \text{ kJ/kg}\)- \(R = 0.287 \text{ kJ/kg}\cdot K\)**Cycle Steps:**1-2: Isentropic Compression2-3: Constant Pressure Heat Rejection3-4: Isentropic Expansion4-1: Constant Pressure Heat Addition**Diagram Explanation:**- The diagram represents an Ideal Gas Refrigeration Cycle using air as the working fluid.- The cycle consists of four main components: Compressor, Turbine, Heat Exchanger 1, and Heat Exchanger 2.1. **Compressor (1-2):** - Air undergoes isentropic compression. - Work is input (\(W_{s,in}\)) to compress the air.2. **Heat Exchanger 1 (2-3):** - Constant pressure heat rejection occurs. - Heat is rejected (\(Q_H\)) from the air.3. **Turbine (3-4):** - Air experiences isentropic expansion. - Work is output (\(W_{s,out}\)) from the expanding air.4. **Heat Exchanger 2 (4-1):** - Constant pressure heat addition happens. - Heat (\(Q_C\)) is absorbed by the air.These components together create a refrigeration cycle, utilizing the thermodynamic principles of compression, expansion, and heat exchange to achieve cooling.

Answered: An Ideal Gas Refrigeration Cycle is a…

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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Question

An Ideal Gas Refrigeration Cycle is a Brayton Cycle run in reverse as shown in the
schematic below. In this system, the Compressor Ratio (P2/P1) is 3, and air enters the compressor at
−23°C (Stream 1) and leaves Heat Exchanger 1 at 25°C (Stream 3). Solve this problem by assuming
that air behaves as an ideal gas with constant heat capacity as given below):

a) Draw the cycle on P-V and T-S diagrams. Also show for which process QH, Qc, Win, and Wout cross the
system boundary. You do not need to give numerical values for the pressures and temperatures, but
show relative changes correctly.
b) Find the maximum temperature of the cycle in °C.
c) Find the Coefficient of Performance (COPRef) for the cycle.

Data of air:
Cp = 1.005 kJ/kg
R = 0.287 kJ/kg∙K

Cycle Steps:
1-2: Isentropic Compression
2-3: Constant Pressure Heat Rejection
3-4: Isentropic Expansion
4-1: Constant Pressure Heat Addition