Problem Statement

Anideal single$-$stage gas$-$turbine cycle and an ideal two$-$stage gas$-$turbine cycle $($two stages of compression and two stages of expansion$)$ both have an overall pressure ratio of $8.$ Air enters each stage of the compressor at $300K$ and each stage of the turbine at $1300K.$ The inlet pressure of the low$-$pressure compressor is $100$kPa. Using the cold air standard assumption, determine the following quantities for both the single stage Brayton cycle and the two$-$stage Brayton cycle with intercooling, reheating, and $100\%$ effectiveness regeneration $($State $1$ is set to the inlet of the low$-$pressure compressor$).$

a$)$ temperature, pressure, specific volume, and enthalpy at each state

b$)$ heat in$,$ heat out, heat regeneration, compressor's work, turbine's work, and net work

c$)$ the back work ratio and thermal efficiency

d$)$ draw the T$-$s diagram $($optional: P$-$v diagram$)$

e$)$ fill the three tables

Table $1$ Parameters of BraytonCycle

$\backslash$table$[[$Brayton Cycle$],[$State$,T(K),p(kPa),v(\frac{m^3}{k}g),h[k\frac{J}{kg*K}]$