A gas turbine plant envisaged to be installed to provide power to the University of Nigeria Nsukka is designed to take in air at 290K and 1.01bar with a pressure ratio of 8/1. The arrangement of the system components is made in such a way that allows the compressor to be driven by the high pressure (HP) turbine and a separate power shaft by the low pressure (LP) turbine. Design parameters show that the isentropic efficiencies of the compressor, the low-pressure turbine (LP) and the high-pressure turbine (HP) are 80\%, 83\% and 85\% respectively. As a mechanical engineering student of the University, you have been asked to: ​i. Draw a detailed schematic of the turbine plant ​ii. Also draw the equivalent T-S diagram and to calculate the: ​iii. Work input to the compressor ​iv. Work output from the HP turbine ​v. Intermediate pressure after expansion from the HP turbine ​vi. Work output from the LP turbine ​vii. Net power output per Kg/s mass flow ​viii. The work ratio ​ix. The heat supplied to the turbine and ​x. The cycle efficiency ​Parameters obtained for the plant indicate the following: Cp for the compression process 1.005kJ/kg K; k=1.4; Cp for the combustion and expansion processes 1.15kJ/kg K; gamma = 1.333

Welcome back Simon — been a while! Let's pick up where you left off. First, I must state an assumption: The maximum cycle temperature (T_3) was not provided in the problem statement. For the calculations, I will assume a typical turbine inlet temperature of T_3 = 1400 K. Given parameters: T_1 = 290 K P_1 = 1.01 bar Pressure ratio r_p = P_2/P_1 = 8 P_2 = 8 × 1.01 = 8.08 bar Compressor isentropic efficiency $_c