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1- Develop the Model (Manually Solve the following Problem) The Brayton cycle in this project is a basic cycle with a compressor, heat exchanger to increase temperature, gas turbine, and heat exchanger to reject heat. Irreversibilities are considered in the turbine and compressor. The cold-air standard assumptions are considered to model this cycle (const specific heats). The Air enters the compressor at state 1 with a pressure of 100 kPa, temperature of 300 K, and a mass flow rate of 5 kg/s. The compressor pressure ratio is 10, and the turbine inlet temperature at state 3 is 1300 K. The turbine and compressor each have isentropic efficiencies of 85%. First, obtain equations for the temperatures at states 2 and 4 as a function of known temperatures, pressure ratio, isentropic efficiencies and specific heat ratio; box these equations. Use specific heat ratio at 300 K and obtain T₂ and T4. Note that this cycle is not ideal, and isentropic efficiencies are given to consider the irreversibilities in the ine and compressor. Then, obtain a parametric equation for each of the following variables as a function of known temperatures, pressure ratio, isentropic efficiencies, mass flow rate and specific heats: a) The thermal efficiency of the cycle, b) The back-work ratio, and c) The net power developed, A d) The rate of entropy generation in the compressor using the entropy balance equation, in kW/K, and e) The rate of entropy generation in the turbine using the entropy balance equation, in kW/K. Box these equations. These equations will be used to develop a code in the next part of the project. Use specific heats at 300 K and obtain these values. Solve this problem again, considering variable specific heats. These results will be used to validate your code.