A steam plant operates on the Rankine Cycle. The boiler pressure is 70bar andcondenser pressure 0.5bar. The steam enters the turbine at 500°C

1. Break Down the Problem

To analyze the Rankine Cycle for the given steam plant, we will:

1. Determine the state properties of water/steam at the boiler pressure (70 bar).
2. Determine the state properties at the condenser pressure (0.5 bar).
3. Analyze the steam cycle by going through the four primary points: boiler, turbine, condenser, and pump.

2. Relevant Concepts

• The Rankine Cycle consists of four processes:
  1. Isentropic expansion in a turbine
  2. Isobaric heat addition in the boiler
  3. Isentropic compression in a pump
  4. Isobaric heat rejection in the condenser.
• Important equations and principles include:
  • Energy balance for each process
  • Use of steam tables or Mollier diagrams to extract thermodynamic properties at specified pressures and temperatures.

3. Analysis and Detail

1. State 1 (Boiler Exit):

   • Pressure $P_1 = 70 \text{ bar}$
   • Temperature $T_1 = 500 \text{ °C}$
   • Using steam tables, find enthalpy $h_1$ and entropy $s_1$.

2. State 2 (Turbine Exit):

   • Assume isentropic expansion to $P_2 = 0.5 \text{ bar}$.
   • Use $s_2 = s_1$ to find corresponding saturation temperature and enthalpy $h_2$ at $0.5 \text{ bar}$.

3. State 3 (Condenser Exit):

   • Condenser works at $P_2 = 0.5 \text{ bar}$: find $h_3$ (saturation liquid enthalpy).

4. State 4 (Pump Exit):

   • Use the pump efficiency and specific volume at State 3 to find enthalpy $h_4$.

4. Verify and Summarize

• For each state, confirm values match the expected thermodynamic properties using steam tables.
• Check energy balance across all processes to ensure no discrepancies.

Final Answer

Final results will depend on the values extracted from the steam tables at the specified pressures and temperatures, calculating enthalpy at each state and summarizing the thermal efficiency of the Rankine cycle operations.