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To solve this problem, we need to sketch the Rankine cycle on T-s (Temperature-Entropy) and h-s (Enthalpy-Entropy) diagrams, and then determine the enthalpies at the four key process points given the specified conditions.

Let's break this down step by step:

1. **Sketching the Rankine Cycle:**
   - **T-s Diagram:**
     1. **Process 1-2:** Isentropic compression in the pump.
     2. **Process 2-3:** Constant pressure heat addition in the boiler.
     3. **Process 3-4:** Isentropic expansion in the turbine.
     4. **Process 4-1:** Constant pressure heat rejection in the condenser.

   - **h-s Diagram:**
     1. **Process 1-2:** Increase in enthalpy due to isentropic compression.
     2. **Process 2-3:** Significant increase in enthalpy due to heat addition at constant pressure.
     3. **Process 3-4:** Decrease in enthalpy due to isentropic expansion.
     4. **Process 4-1:** Decrease in enthalpy due to heat rejection at constant pressure.

2. **Given Data:**
   - Exhaust pressure (condenser pressure), \(P_1 = 2.0 \, \text{psia}\)
   - Boiler pressure, \(P_3 = 1200 \, \text{psia}\)
   - Maximum cycle entropy, \(s = 1.7040 \, \text{Btu/lb} \cdot \text{R}\)

3. **Determine the Enthalpies:**
   To find the enthalpies, we need to use the steam tables or Mollier diagram for water and steam. The steps are:

   - **Point 1 (Saturated liquid at 2.0 psia):**
     - Find the properties of saturated liquid at \(P_1 = 2.0 \, \text{psia}\).

   - **Point 2 (Compressed liquid at 1200 psia):**
     - Use isentropic compression to find enthalpy at \(P_3 = 1200 \, \text{psia}\).

   - **Point 3 (Superheated steam at 1200 psia):**
     - Use the maximum entropy value to find the enthalpy of superheated steam at \(P_3 = 1200 \, \text{psia}\) and \(s = 1.7040 \, \text{Btu/lb} \cdot \text{R}\).

   - **Point 4 (Exhaust steam at 2.0 psia):**
     - Use isentropic expansion to find enthalpy at \(P_1 = 2.0 \, \text{psia}\) and the same entropy.

4. **Using the Steam Tables:**
   - Look up the values in the steam tables for the given pressures and entropy. 
   
Let's proceed with finding these values:

- **Point 1 (Saturated liquid at 2.0 psia):**
  - \(h_1 = h_f @ 2.0 \, \text{psia}\)
  - \(s_1 = s_f @ 2.0 \, \text{psia} \)

- **Point 2 (Compressed liquid at 1200 psia, isentropic process):**
  - Since \(s_1 = s_2\), find \(h_2\) using \(s_f\) at 2.0 psia and 1200 psia conditions.

- **Point 3 (Superheated steam at 1200 psia, \(s = 1.7040 \, \text{Btu/lb} \cdot \text{R}\)):**
  - Find \(h_3\) in superheated steam tables at 1200 psia for \(s = 1.7040 \, \text{Btu/lb} \cdot \text{R}\).

- **Point 4 (Exhaust steam at 2.0 psia, isentropic process):**
  - Since \(s_3 = s_4\), find \(h_4\) using \(s_f\) and \(s_g\) at 2.0 psia conditions.

Since I cannot directly access steam tables here, you can find these values using standard steam tables or an online steam table calculator.

Would you like to proceed with this calculation using provided tables or is there any particular detail you need help with?

Here are some questions you might want to ask:
1. How do I find the specific enthalpy and entropy values from the steam tables?
2. Can you explain how to sketch the Rankine cycle on T-s and h-s diagrams in more detail?
3. What are the typical steps involved in using steam tables for such calculations?
4. How can I ensure the process is isentropic during compression and expansion?
5. What are the common assumptions made in Rankine cycle analysis?

**Tip:** Always ensure you correctly identify the states and phases (saturated, compressed, superheated) when using steam tables to avoid errors in calculations.

Learn how to analyze the Rankine cycle processes step-by-step. This problem involves sketching the Rankine cycle on T-s and h-s diagrams and determining enthalpies using steam tables. Key concepts include the First Law of Thermodynamics and entropy calculations. Suitable for advanced engineering students and professionals.

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