A 35 percent-efficient coal-fired power plant with effective height of 100 m emits SU, at a the rate of 0.6 Ib/106 Btu into the plant. If winds are assumed to be 4 m/s at the stack height and just over 3 m/s at 10 m, how large could the plant be (MW) without having the ground level SO2 exceed 365 µg/m³?

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Transcription and Explanation for Educational Website**

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**Problem Statement:**
A 35 percent-efficient coal-fired power plant with an effective height of 100 meters emits sulfur dioxide (SO₂) at a rate of 0.6 lb/10⁶ Btu into the plant. If winds are assumed to be 4 m/s at the stack height and just over 3 m/s at 10 meters, how large could the plant be (in megawatts, MW) without having the ground-level SO₂ exceed 365 µg/m³?

**Diagram Explanation:**
The problem is presented in a textual format, and there are no graphical elements associated with it. The problem addresses the calculation of permissible power output from a coal-fired power plant based on its SO₂ emissions and local atmospheric conditions (wind speed). 

**Key Concepts:**
1. **Plant Efficiency:**
   - The power plant operates with 35% efficiency, indicating that only 35% of the input energy is converted into useful work (electricity).

2. **Emission Rate:**
   - The plant emits SO₂ at 0.6 pounds per million British Thermal Units (lb/10⁶ Btu) of energy input. This needs to be controlled to prevent exceeding air quality standards.

3. **Wind Speed:**
   - The specified wind speeds influence the dispersion of pollutants from the plant. At stack height, wind speed is 4 m/s, while at ground level (10 m), it is slightly over 3 m/s.

4. **Pollutant Concentration Limit:**
   - The ground-level concentration of SO₂ should not exceed 365 micrograms per cubic meter (µg/m³) to comply with air quality standards.

**Objective:**
To calculate the maximum potential power output of the coal-fired power plant in megawatts (MW) such that the SO₂ pollutants do not exceed the permissible ground-level concentration.

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This description provides a clear understanding of the scenario and essential parameters affecting the power plant's operation and its environmental impact.
Transcribed Image Text:**Transcription and Explanation for Educational Website** --- **Problem Statement:** A 35 percent-efficient coal-fired power plant with an effective height of 100 meters emits sulfur dioxide (SO₂) at a rate of 0.6 lb/10⁶ Btu into the plant. If winds are assumed to be 4 m/s at the stack height and just over 3 m/s at 10 meters, how large could the plant be (in megawatts, MW) without having the ground-level SO₂ exceed 365 µg/m³? **Diagram Explanation:** The problem is presented in a textual format, and there are no graphical elements associated with it. The problem addresses the calculation of permissible power output from a coal-fired power plant based on its SO₂ emissions and local atmospheric conditions (wind speed). **Key Concepts:** 1. **Plant Efficiency:** - The power plant operates with 35% efficiency, indicating that only 35% of the input energy is converted into useful work (electricity). 2. **Emission Rate:** - The plant emits SO₂ at 0.6 pounds per million British Thermal Units (lb/10⁶ Btu) of energy input. This needs to be controlled to prevent exceeding air quality standards. 3. **Wind Speed:** - The specified wind speeds influence the dispersion of pollutants from the plant. At stack height, wind speed is 4 m/s, while at ground level (10 m), it is slightly over 3 m/s. 4. **Pollutant Concentration Limit:** - The ground-level concentration of SO₂ should not exceed 365 micrograms per cubic meter (µg/m³) to comply with air quality standards. **Objective:** To calculate the maximum potential power output of the coal-fired power plant in megawatts (MW) such that the SO₂ pollutants do not exceed the permissible ground-level concentration. --- This description provides a clear understanding of the scenario and essential parameters affecting the power plant's operation and its environmental impact.
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