Rate of V˙ 1 = 50 m3/s at p1 = 95 kPa, T1 = 285 K. The overall pressure ratio p2/p1 = 24, and the turbine inlet temperature is T3 = 1950 K. The isentropic efficiencies of the compressor and turbine are ηc = 88% and ηt = 94%, respectively. Using cold air-standard Brayton cycle analysis, treating the gas as air modeled as a perfect gas with γ = 1.36, determine: (a) the net power developed in MW. (b) the rate of heat addition in the combustor, Q˙ in, in MW. (c) the thermal efficiency of the cycle η.