A combined cycle power plant has a total net power output of 277 MW. Air enters the compressor of the Brayton cycle at 101 KPa and 300 K, where it is compressed to 2200 kPa with a compressor that has an efficiency of 84%. The air is burned with methane, which enters at 298 K, in an adiabatic combustor and the temperature exiting the combustor is 1900 K. The product gases exiting the combustor enter the turbine, where they are expanded back to 101 kPa with a turbine efficiency of 89%. The product gases then pass through the HRSG, where they are used to provide heat to the boiler of the Rankine cycle. The product gases exit the HRSG at 390 K. For the Rankine cycle, the steam is heated to 6 MPa and 600oC in the boiler, the isentropic efficiency of the turbine is 87%, the condenser pressure is 10 kPa and the pump efficiency is 70%. Determine the mass flow rate of fuel.