An ideal cogeneration steam power plant must generate 5,000 kJ/s of process heat. One third of the steam is extracted from the turbine at 750 kPa for process heating, condensed in the process heater, and then mixed with the feedwater. Determine: The missing enthalpy values

Along steel shaft of 10 cm diameter is austenised at 870°c and then quenched in a liquid at 30oc. the average surface heat transfer coefficient is 2000 w/m2. °c. the relevant thermophysical properties of the shaft are: p=7800 kg/m", k=20 w/mk, cp=0.46 kj/kg.k calculate: a)-the time required for the center temperature to drop to 200°c. b)-the temperature at half-radius at that moment. c)-the amount of heat that had been transferred to the liquid by that time per meter length of the shaft