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?
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?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
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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