Consider an ideal gas turbine cycle with two stages of compression and two stages of expansion. The pressure ratio across each compressor stage and each turbine stage is 8:1. The pressure at entrance to the first compressor is 100 KPa. The temperature at entrance of each compressor is 20^oC and temperature at entrance of each turbine is 1100^oC. Ideal regenerator is also incorporated in the cycle.

Determine;

(a) Work of compression

(b) Work of turbine

(c) Cycle thermal efficiency

(d) Prove that for optimum pressure ratio P₂/P₁ = P₃/P₄ = r_P,         T₂ = √T₁T₃

Note: For optimum value of r_P

    d(W_net)/dr_P = 0