12 - A power cycle operates between a reservoir at temperature T and a lower-temperature reservoir at 280 K. At steady state, the cycle develops 80 kW of power while rejecting 2000 kJ/min of energy by heat transfer to the cold reservoir. Determine the minimum theoretical value for T, in K. Useful I data: Molar mass- M-, kg/k mol Y = C/ C 1.4 Gas Air 28.97 32 1.4 en Butane (CH10) Nitrogen (N2) Methane (CH,) 58 1.1 28 1.4 16 1.32 Universal gas constant = 8.314 kJ / kmol. K 1 bar = 100 kPa For liquid water h = 4.18 *t, kJ/kg where t in C Water density 1000 kg/m %3D