Final answer:
The work output of a power plant operating on a regenerative-Rankine cycle can be calculated using the formula W = 2h - Qc, where h is the enthalpy of steam and Qc is the heat extracted in the condenser. Specific thermodynamic data are required for an accurate calculation.
Step-by-step explanation:
To calculate the work output of the power plant operating on a regenerative-Rankine cycle producing steam at 50 bar and 500°C with a condenser pressure of 0.1 bar and a feed water heater pressure of 10 bar, we would use the formula W = 2h - Qc.
However, to provide a specific answer, we would require additional thermodynamic data such as the enthalpy of the steam at various points in the cycle (boiler, turbine, condenser, feed water heater) and the heat extracted in the condenser (Qc). The formula indicates that the work output is the difference between twice the enthalpy of the steam and the heat extracted in the condenser. Without pump work, we are only considering the turbine work output and heat rejection from the condenser. The thermodynamic process includes boiling water under pressure, running steam turbines, and condensing steam, which demonstrates the cycle of energy transformation in such power plants.