förmation: a. The work output per kilogram for the high- and low-pressure turbines b. The work input per kilogram for the high- and low-pressure pumps c. The heat transfer per kilogram in the boiler and the reheater Th kilogram in dencer

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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**Rankine Cycle with Reheat and Regeneration**

The diagram illustrates a Rankine cycle featuring both reheat and regeneration processes. This cycle is often used in thermal power plants to improve overall efficiency. The outlined process includes several key components: a boiler, a reheater, a high-pressure turbine, a low-pressure turbine, an open feedwater heater, and two pumps (high-pressure and low-pressure).

**States of the Water Through the Cycle:**

1. **Condenser (State 1 to 2):** 
   - **Pressure (P1 = P8):** 15 kPa
   - **Quality (x1):** 0.0
   - Water is at a saturated state, ready for pumping.

2. **Pump (State 2 to 3):**
   - **Pressure (P2 = P3 = P6):** 350 kPa
   - Water is pressurized by the pump and sent towards the open feedwater heater.

3. **Open Feedwater Heater (State 3):**
   - Water mixes with steam extracted from the turbines.

4. **High-Pressure Pump (State 3 to 4):**
   - Water is further pressurized to enter the boiler.

5. **Boiler (State 4 to 5):**
   - **Pressure (P4):** 3.0 MPa
   - Water is heated to a high temperature, becoming superheated steam.

6. **High-Pressure Turbine (State 5 to 6):**
   - **Pressure (P5):** 2.9 MPa
   - **Temperature (Ts):** 600°C
   - Steam expands, performing work, and is then reheated.

7. **Reheater (State 6 to 7):** 
   - Steam is reheated to improve efficiency before entering the low-pressure turbine.

8. **Low-Pressure Turbine (State 7 to 8):**
   - Steam expands further, performing more work, then it is condensed back to water.

**Efficiency and Performance Information:**

- **Adiabatic efficiency of pumps:** 80%
- **Adiabatic efficiency of turbines:** 85%

**Tasks:**

- Sketch the cycle on a T-s (Temperature-Entropy) diagram.
- Determine the following:
  a. Work output per kilogram for the turbines.
  b. Work input per kilogram for the pumps
Transcribed Image Text:**Rankine Cycle with Reheat and Regeneration** The diagram illustrates a Rankine cycle featuring both reheat and regeneration processes. This cycle is often used in thermal power plants to improve overall efficiency. The outlined process includes several key components: a boiler, a reheater, a high-pressure turbine, a low-pressure turbine, an open feedwater heater, and two pumps (high-pressure and low-pressure). **States of the Water Through the Cycle:** 1. **Condenser (State 1 to 2):** - **Pressure (P1 = P8):** 15 kPa - **Quality (x1):** 0.0 - Water is at a saturated state, ready for pumping. 2. **Pump (State 2 to 3):** - **Pressure (P2 = P3 = P6):** 350 kPa - Water is pressurized by the pump and sent towards the open feedwater heater. 3. **Open Feedwater Heater (State 3):** - Water mixes with steam extracted from the turbines. 4. **High-Pressure Pump (State 3 to 4):** - Water is further pressurized to enter the boiler. 5. **Boiler (State 4 to 5):** - **Pressure (P4):** 3.0 MPa - Water is heated to a high temperature, becoming superheated steam. 6. **High-Pressure Turbine (State 5 to 6):** - **Pressure (P5):** 2.9 MPa - **Temperature (Ts):** 600°C - Steam expands, performing work, and is then reheated. 7. **Reheater (State 6 to 7):** - Steam is reheated to improve efficiency before entering the low-pressure turbine. 8. **Low-Pressure Turbine (State 7 to 8):** - Steam expands further, performing more work, then it is condensed back to water. **Efficiency and Performance Information:** - **Adiabatic efficiency of pumps:** 80% - **Adiabatic efficiency of turbines:** 85% **Tasks:** - Sketch the cycle on a T-s (Temperature-Entropy) diagram. - Determine the following: a. Work output per kilogram for the turbines. b. Work input per kilogram for the pumps
Expert Solution
Step 1

Given that 

P1 = P 8 =15 KPa

 P5 = 2.9 MPa              T5 = 600°C

P4 = 3.0 MPa 

P2 = P3, = P6 = P7, = 350 kPa , T7= 500°C

 

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