Problem 1: (60 Points) A steam turbine is driving (transferring work to) a compressor and a generator. Steam enters the turbine at 12MPa and 500C at a rate of 25kg/s and exits at 10kPa and a quality of 0.91. Air enters the compressor at 98kPa and 290K at a rate of 9.8kg/s and exits at 1MPa and 620K. a) What is the specific entropy change in kJ/kgK across the turbine? b) What is the work done by turbine in kW ? c) What % of turbine work is available to the generator? Assume steady state process. Assume ideal gas behavior for air in compressor. The steam turbi and the compressor are perfectly insulated. Provide your final answers in SI unit