An ideal gas turbine cycle with two stages of compression (intercooling between the two stages) and two stages of expansion (reheating between the two stages) has an overall pressure ratio of 12 (the highest over the lowest). Air enters each compressor at 300 K and each turbine at 1600 K. Determine the back work ratio and the thermal efficiency of this gas turbine cycle, assuming (a) no regeneration and (b) an ideal regeneration with 100% effectiveness. Then compare your results for the following: i. Results from (a) with an ideal simple Brayton cycle (no intercooling, no reheating, no regeneration) at the same pressure ratio of 12 and same 300k and 1600k air temperatures. Explain what are the reasons for the difference? ii. Results from (b) with an ideal Brayton cycle (no intercooling, no reheating) using ideal 100% effectiveness regeneration and at the same pressure ratio of 12 and same 300 k and 1600 k air temperatures. Explain what are the reasons for the difference? Do all the above with air-standard assumptions (ASA).