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Responda esta pregunta mediante un script de matlab. porfavor analice bien las pregunta y el dibujo del modelo a analizar

The problem presented involves a steam power plant operating on an ideal Rankine cycle with reheating. Here's a breakdown of the problem:

### **Key Information:**
1. **Cycle Description:**
   - The steam enters the high-pressure turbine at 8MPa and 500°C (State 3).
   - After expansion in the high-pressure turbine, it is reheated to 500°C (State 5) and then expanded in the low-pressure turbine to 20kPa (State 6).

2. **Objective:**
   - Create a MATLAB script to print the following:
     a. **Mass flow rate of steam** required for a net power output of 30 MW, with varying input powers (30, 100, and 150 MW).
     b. **Thermal efficiency** as a function of the net power output.
     c. **Cost of electricity** based on $0.05 USD/kWh for the same range of power outputs.
     d. **Heat transfer in the boiler and reheater** in MW for different power outputs.

3. **Additional Information:**
   - The currents are labeled in the diagram, and the pressure conditions of different points are essential for solving the problem.

### **Steps to Create a MATLAB Script:**
1. **Steam Tables and Thermodynamic Calculations:**
   - Use steam tables or a MATLAB function like `XSteam` to get enthalpies and entropies at different points in the cycle (3, 4, 5, and 6).
   - For an ideal Rankine cycle with reheat, the key states (3, 4, 5, and 6) will need thermodynamic property calculations.

2. **Mass Flow Rate Calculation:**
   - Calculate the work done by the turbines (high-pressure and low-pressure).
   - Calculate the heat added in the boiler and reheater.
   - Use the equation $ \dot{m} = \frac{\text{Net Power Output}}{\text{Work per unit mass}} $ to find the mass flow rate.

3. **Thermal Efficiency:**
   - The thermal efficiency $ \eta $ can be calculated using:
     \[
     \eta = \frac{\text{Net Work Output}}{\text{Heat Input}}
     \]
   - Print the efficiency for each power output.

4. **Cost of Electricity:**
   - The cost is calculated using:
     \[
     \text{Cost} = \frac{\text{Energy in kWh}}{\text{Total time in hours}} \times 0.05
     \]

5. **Heat Transfer in Boiler and Reheater:**
   - Calculate the heat added in both the boiler and reheater as a function of the power output.

6. **Matlab Script Structure:**
   - The script will include a function to calculate thermodynamic properties, followed by loops or conditions to evaluate each required power output (30 MW, 100 MW, 150 MW).

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Learn how to create a MATLAB script to analyze an ideal Rankine cycle with reheating. Calculate mass flow rate, thermal efficiency, cost of electricity, and heat transfer in boiler and reheater for different power outputs. Detailed steps and formulas provided.

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