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.

Given:a) 1) P-v diagram: 2) T-s diagram:b) Find the maximum temperature of the cycle in °C Consider 1 bar pressure at compressor inlet Air properties at 1 bar, 250K, isentropic process Pressure 1 bar Temperature, K 250 Entropy, kJ/kg K 6.687 Pressure 5 bar Temperature, K 381.466 Entropy, kJ/kg K 6.687 As pressure ratio is 3, interpolating at 3 bar Pressure 3 bar Temperature, K 315.733 Entropy, kJ/kg K 6.687 Answer: Maximum temperature of cycle is 315.733 Kc) Find the Coefficient of Performance for the cycle. COP=T2-T1T2=315.733-250315.33=0.2069 Answer: Coefficient of performance of the cycle is 0.2069