Consider a cogeneration plant that uses an ideal Rankine cycle to generate power and steam for process heating, as shown in the figure. The plant provides 4.5 MW of net power output and 5.8 MW of process heating. Steam is supplied to the inlet of the two- stage turbine at 10 MPa and 440°C. A portion of the steam is extracted after exiting the high pressure turbine at 0.5 MPa and is used to meet the process heating load. The steam leaves the process heater as a saturated liquid and mixes with the water leaving the low-pressure pump. Saturated liquid water enters the low-pressure pump at 20 kPa. a. Sketch this cycle on a T-s diagram. b. Determine the mass flow rate of water extracted for process heating, in kg/s. c. Determine the power developed by the turbines, in kw.

The student has posted multiple questions. But as per the guideline, I can solve only first three sub-parts of first question. For rest question please re-post in a separate post.

Given data,

Net power output of the plant, P_net = 4.5 MW

Process heating = 5.8 MW

Inlet condition of the steam to the turbine is 10 MPa and 440 $°C$

Pressure of process heating  = 0.5 MPa

Pressure of the condenser = 20 KPa

To determine:-

a) T-s diagram of the above cycle

b) Mass flow rate of steam extracted for process heating

c) Power developed by the turbine