**Steam Power Plant Cycle Overview** A steam power plant operates on the following cycle, producing a net power (\( \dot{W}_{\text{net}} \)) of 25 MW. Steam enters the turbine at 16 MPa and 550 °C, and exits the condenser as a saturated mixture at 10 kPa. The subcooled liquid then enters the pump at 9 kPa and 35 °C, leaving at 17 MPa, after which it enters the boiler at 16.8 MPa and 33 °C, exiting at 16.2 MPa and 575 °C. The isentropic efficiency of the turbine is 90%, and that of the pump is 83%. **Cycle Diagram Explanation** The diagram included in the explanation of the steam power cycle showcases the key components and flow of the cycle: 1. **Pump (5,6):** The pump increases the pressure of the working fluid (subcooled liquid), moving it from low to high pressure, from state 5,6 to state 9. 2. **Boiler (7,8):** The fluid is heated in the boiler, where it becomes a high-pressure, high-temperature vapor. The fluid enters at state 7 and exits as superheated steam at state 1. 3. **Turbine (1,2,3):** The steam expands in the turbine, generating work (power output). It enters at state 1 and exits at state 2,3 as it releases energy. 4. **Condenser (9,10):** The steam is cooled in the condenser, becoming a saturated mixture at constant pressure. The fluid enters at state 2,3 and exits at state 10. This diagram and explanation illustrate a simple steam power cycle, highlighting the transformation of water through various states of pressure and temperature to generate power efficiently. **Determine the mass flow rate of cooling water in the condenser in which temperature rises from 20 °C to 30 °C.** **Express your answer to five significant figures.** [Input Area for Answer] - Symbols and Tools: Various symbols and tool buttons are present for input assistance, including mathematical symbols for formatting the response. - Mass Flow Rate (\( \dot{m}_{cooling} \)): An input box is provided to enter the calculated mass flow rate in kilograms per second (kg/s). - Submit Button: A button is available for submitting the response. - Request Answer Link: A link to request the answer if assistance is needed.