a) If 1 kg of MSW releases 12000 kJ of heat, what is the net work output of the powerplant? b) If the shaft work in the pump is negligible, what is the work output in the low-P turbine? Hint: perform another energy balance

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter9: Heat Transfer With Phase Change
Section: Chapter Questions
Problem 9.4DP
icon
Related questions
Question
You, a process design engineer, are tasked to build a powerplant that utilizes 1.5 metric tons of municipal
solid wastes (MSW) per hour. In an industrial boiler, MSW is burned to heat and pressurize 1 kg/s of
preheated water to high-pressure steam (44 atm, 450 °C).
The high-pressure steam, moving at a linear velocity of 70 m/s, is then used to drive a high-pressure
turbine. In a heat exchanger, the used steam from the outlet of high-P turbine at an intermediate pressure
(10 atm, 250 °C) is used to preheat the water that will be fed to the boiler. This water is pumped from an
underground reservoir at a low velocity (1 atm, 25 °C).
After preheating the water, the intermediate-pressure steam leaving the heat exchanger is then used to
drive a low-pressure turbine. Lastly, the steam from outlet of the low-P turbine leaves at a velocity of 10
m/s (at 1 atm and 100 °C) via an exhaust 10 m above the pump inlet.
The industrial boiler is insulated, but due to the high temperatures and the nature of the process, there are
inevitably heat losses. As such, 25% of the heat from the burning of MSW is lost from the boiler.
Your assistant has conveniently looked up the following values from the handbook:
• Q25 °C, 1 atm: H = 104.93 kJ/kg, phase: liquid
@100 °C, 1 atm: H = 2675.53 kJ/kg, phase: steam
@250 °C, 10 atm: H = 2942.73 kJ/kg, phase: steam
@450 °C, 44 atm: H = 3324.63 kJ/kg. phase: steam
a) If 1 kg of MSW releases 12000 kJ of heat, what is the net work output of the powerplant?
b) If the shaft work in the pump is negligible, what is the work output in the low-P turbine? Hint: perform
another energy balance
Transcribed Image Text:You, a process design engineer, are tasked to build a powerplant that utilizes 1.5 metric tons of municipal solid wastes (MSW) per hour. In an industrial boiler, MSW is burned to heat and pressurize 1 kg/s of preheated water to high-pressure steam (44 atm, 450 °C). The high-pressure steam, moving at a linear velocity of 70 m/s, is then used to drive a high-pressure turbine. In a heat exchanger, the used steam from the outlet of high-P turbine at an intermediate pressure (10 atm, 250 °C) is used to preheat the water that will be fed to the boiler. This water is pumped from an underground reservoir at a low velocity (1 atm, 25 °C). After preheating the water, the intermediate-pressure steam leaving the heat exchanger is then used to drive a low-pressure turbine. Lastly, the steam from outlet of the low-P turbine leaves at a velocity of 10 m/s (at 1 atm and 100 °C) via an exhaust 10 m above the pump inlet. The industrial boiler is insulated, but due to the high temperatures and the nature of the process, there are inevitably heat losses. As such, 25% of the heat from the burning of MSW is lost from the boiler. Your assistant has conveniently looked up the following values from the handbook: • Q25 °C, 1 atm: H = 104.93 kJ/kg, phase: liquid @100 °C, 1 atm: H = 2675.53 kJ/kg, phase: steam @250 °C, 10 atm: H = 2942.73 kJ/kg, phase: steam @450 °C, 44 atm: H = 3324.63 kJ/kg. phase: steam a) If 1 kg of MSW releases 12000 kJ of heat, what is the net work output of the powerplant? b) If the shaft work in the pump is negligible, what is the work output in the low-P turbine? Hint: perform another energy balance
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Applied Fluid Mechanics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi…
Principles of Heat Transfer (Activate Learning wi…
Mechanical Engineering
ISBN:
9781305387102
Author:
Kreith, Frank; Manglik, Raj M.
Publisher:
Cengage Learning
Refrigeration and Air Conditioning Technology (Mi…
Refrigeration and Air Conditioning Technology (Mi…
Mechanical Engineering
ISBN:
9781305578296
Author:
John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:
Cengage Learning