Air Pollution Control Engineering - Week 9
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Questions and Answers

What is the mass efficiency for collecting large particles using the collector?

  • 0.25
  • 0.33 (correct)
  • 0.68
  • 0.30

Given the efficiencies of the collector, which size of particles contributes the least to the overall weight percent efficiency?

  • Large particles
  • Small particles (correct)
  • All contribute equally
  • Medium particles

What is the overall weight percent efficiency of the collector based on the given information?

  • 0.50
  • 0.99
  • 0.75
  • 0.68 (correct)

Which of the following correctly describes the relationship between mass fraction and collection efficiency for the medium particles?

<p>0.333 kg x 0.75 = 0.25 kg (B)</p> Signup and view all the answers

What factor affects the overall efficiency of the collector the most?

<p>The efficiency on each particle size (D)</p> Signup and view all the answers

What is the outgoing amount of the large-sized particles based on the provided data?

<p>0.00334 kg (D)</p> Signup and view all the answers

How is the overall efficiency, denoted as η, defined in the context provided?

<p>η = 1 - penetration (D)</p> Signup and view all the answers

What is the total penetration value calculated from the given data?

<p>0.3197 (D)</p> Signup and view all the answers

When calculating total penetration using penetration values of different size ranges, which formula is correct?

<p>p = (1 - η1)m1 + (1 - η2)m2 + (1 - η3)m3 (A)</p> Signup and view all the answers

If the efficiency η is known for multiple size ranges, how can the overall collection efficiency be predicted?

<p>By multiplying individual efficiencies with their mass percentages (B)</p> Signup and view all the answers

In a continuous particle size distribution, what happens to the discrete PSD as the size range becomes very small?

<p>It approximates the continuous PSD. (D)</p> Signup and view all the answers

What type of distribution is commonly used for the size distribution of particulate matter in aerosol science?

<p>Lognormal distribution (A)</p> Signup and view all the answers

For which size range is the frequency (fi) highest based on the provided data?

<p>10-14 (B)</p> Signup and view all the answers

What value corresponds to the size range of 20-35?

<p>0.0034 (C)</p> Signup and view all the answers

What does the variable 'p' represent in the equation for continuous particle size distribution?

<p>The probability density function (C)</p> Signup and view all the answers

At what particle size range does the frequency drop to its lowest according to the data?

<blockquote> <p>50 (A)</p> </blockquote> Signup and view all the answers

What is the significance of making Δd approach zero in the context of particle size distribution?

<p>It allows for a more accurate representation of size distribution. (C)</p> Signup and view all the answers

Which of the following size ranges has a frequency value closest to zero?

<p>35-50 (A)</p> Signup and view all the answers

What is the definition of PM (Particulate Matter)?

<p>Sums of all solid and liquid particles suspended in air. (B)</p> Signup and view all the answers

Which of the following best describes 'Soot'?

<p>An agglomeration of carbon particles. (B)</p> Signup and view all the answers

Which of the following describes 'Mist' in terms of particulate matter?

<p>A dispersion of small liquid droplets large enough to fall from the air. (B)</p> Signup and view all the answers

What is the primary characteristic of 'Fly Ash'?

<p>Finely divided particles of ash that remain suspended in flue gas. (D)</p> Signup and view all the answers

Which mechanism of particle collection involves the collision of particles with a larger surface?

<p>Impaction (B)</p> Signup and view all the answers

What role does Stokes Law play in understanding particulate matter?

<p>It describes the forces acting on particles in suspension. (A)</p> Signup and view all the answers

Which of the following is NOT a common process for particulate pollutant formation?

<p>Evaporation processes (B)</p> Signup and view all the answers

What characteristic differentiates 'Fume' from other particulate pollutants?

<p>Formed by condensation, sublimation, or chemical reaction. (D)</p> Signup and view all the answers

What happens to Stokes' law when the flow becomes turbulent?

<p>Stokes' law becomes inapplicable. (A)</p> Signup and view all the answers

What is the condition for laminar flow according to Reynolds number?

<p>Re ≤ 0.3 (D)</p> Signup and view all the answers

How is Reynolds number defined?

<p>The ratio of inertial forces to viscous forces. (D)</p> Signup and view all the answers

Which range of Reynolds number indicates that flow is becoming turbulent?

<p>0.3 &lt; Re ≤ 1000 (C)</p> Signup and view all the answers

Under what condition does Stokes' law work satisfactorily?

<p>Re ≤ 0.3 (B)</p> Signup and view all the answers

What does a higher Reynolds number indicate?

<p>Increased inertial forces compared to viscous forces. (B)</p> Signup and view all the answers

If the Reynolds number is equal to 1000, what can be inferred about the flow?

<p>The flow may be turbulent. (D)</p> Signup and view all the answers

What is the significance of the term $ rac{D V ho_{fluid}}{ u}$ in defining Reynolds number?

<p>It represents the ratio of inertial to viscous forces. (D)</p> Signup and view all the answers

What does the geometric mean diameter (Dmean, g) represent in a particle size distribution?

<p>The diameter at which 50% of the particles are smaller and 50% are larger (D)</p> Signup and view all the answers

How is the arithmetic mean diameter (Dmean) calculated?

<p>By summing all particle diameters and dividing by the number of particles (B)</p> Signup and view all the answers

What is the role of the standard deviation (σ) in particle size distributions?

<p>To quantify the variation or dispersion in the particle sizes (D)</p> Signup and view all the answers

Which formula represents the calculation of Dmean, g using logarithmic means?

<p>Dmean, g = exp(Σn ln D / N) (B)</p> Signup and view all the answers

What does a cumulative fraction of 50% indicate regarding particle size?

<p>It corresponds to the median diameter or D50% (D)</p> Signup and view all the answers

In terms of particle classification, how is Dmean distinct from Dmean, g?

<p>Dmean is an arithmetic average, while Dmean, g is a logarithmic mean (C)</p> Signup and view all the answers

Which of the following correctly describes the relationship between Dmean and Dmean, g?

<p>Dmean is always larger than Dmean, g unless all sizes are the same (A)</p> Signup and view all the answers

What does the term 'D' represent in the context of particle size distribution calculations?

<p>The diameter of individual particles (D)</p> Signup and view all the answers

Flashcards

Arithmetic Mean Diameter (Dmean)

The average particle diameter calculated by summing the product of each particle diameter and its corresponding number, and dividing by the total number of particles.

Geometric Mean Diameter (Dmean,g)

The average particle diameter calculated by taking the Nth root of the product of all particle diameters raised to their corresponding number.

Standard Deviation (σg)

A measure of the dispersion of particle diameters around the geometric mean diameter. Indicates how spread out the particle sizes are.

Cumulative Fraction

The proportion of particles smaller than a given diameter.

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D50

The particle diameter at which 50% of the particles are smaller and 50% are larger.

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Particle Size Distribution

A description of the range of sizes of particles and how many particles exist at each size.

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Continuous Particle Size Distribution

A particle size distribution that shows a smooth, continuous range of particle sizes instead of discrete size categories.

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Lognormal Distribution

A common model for describing the size distribution of particulate matter, often found in aerosols.

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Particle Size Distribution (PSD)

Description of the range of particle sizes and how many particles exist at each size.

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Discrete PSD

A particle size distribution represented by separate size ranges or categories.

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Particulate Matter (PM)

A collection of solid and liquid particles suspended in the air, often hazardous.

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Dust

Solid particles larger than colloidal size, capable of temporary suspension in air.

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Fly ash

Finely divided ash particles entrained in flue gas; often contains unburned fuel.

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Fume

Particles formed by condensation, sublimation, or chemical reaction; predominantly smaller than 1µg.

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Mist

Dispersion of small liquid droplets large enough to eventually settle.

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Smoke

Small gasborne particles resulting from combustion.

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Particle

A discrete mass of solid or liquid material.

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Fog

Visible aerosol, a suspension of tiny liquid droplets in air.

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Soot

Agglomeration of carbon particles.

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Particle formation (Condensation)

PM formation through atmospheric reactions and combustion.

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Overall Efficiency

The overall performance of a collector in removing particles from a gas stream, considering the efficiency for each particle size and the proportion of each size.

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Particle Size Efficiency

The efficiency of a collector to remove particles of a specific size.

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Mass Fraction

The proportion of the total mass made up by a given particle size.

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linear,g

The average particle size calculated by finding the average of the linear size of the particles.

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d50

The particle diameter at which 50% of the particles are smaller and 50% are larger.

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Waste Stream

A flow containing solid particles in a gas, often needing filtering.

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Total Penetration (p)

The overall fraction of particles not collected in a system, calculated by dividing the total amount of outgoing particles by the total amount of incoming particles.

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Overall Efficiency (η)

The fraction of particles successfully collected in a process, calculated as (1 - total penetration).

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Particle Size Distribution

A description showing the range of particle sizes and how many particles exist in each size category. Knowing this distribution is key in estimating collection efficiency.

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Collection Efficiency (ηj)

The efficiency of the system at capturing particles for a specific size range (j).

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Mass Percent (mj)

The percentage of the total mass of particles that belongs to a specific size category (j).

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Total Penetration Calculation

Total penetration is estimated by considering the penetration rates for each particle size range and their corresponding mass percent.

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Stokes' Law

A relationship that describes the terminal velocity (settling speed) of small, spherical particles in a viscous fluid.

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Terminal Velocity (Vt)

The constant velocity reached by a particle falling through a fluid when the drag force equals the gravitational force.

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Reynolds Number (Re)

A dimensionless quantity that describes the relationship between inertial and viscous forces in a fluid flow.

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Laminar Flow

Smooth, orderly flow of a fluid.

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Turbulent Flow

Disordered, chaotic flow of a fluid.

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Stokes' Law Applicability

Stokes' law applies to small particles and low Reynolds numbers, but breaks down for larger particles or high velocity flow.

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Study Notes

Air Pollution Control Engineering - Week 9

  • Particulate Matters (PM): A collection of solid and liquid particles suspended in the air, many are hazardous.
  • Common PM Pollutants: Dust, fly ash, fume, mist, smoke, particle, fog, soot. Each with distinct characteristics.
  • Formation of PM Pollutions: PMs can be formed through condensation processes (atmospheric reactions, combustion), accumulation processes (combustion, coagulation on existing particles, atmospheric reactions), and mechanical processes (wind blown dust, emissions, sea spray, volcanoes, and plant emissions).
  • Particle Size Distribution: Particles exist in a range of sizes, this distribution is crucial in determining collection efficiency in control devices and impacts on human health. Sizes are typically categorized in log-normal distributions.
  • Efficiency of Particle Collection: Mechanisms differ greatly with particle size. Control device efficiency directly correlates to particle size. Collection mechanisms include inertia impaction, interception, diffusion.
  • Particle Size Categories (EPA Classifications): Categorisation of PM based on diameter: total suspended particulate matter (TSP), PM10, PM2.5, particles less than 0.1 µm, condensable particulate matter.
  • Particle Shape and Density: These factors greatly affect the way particles behave in the air and are crucial when evaluating particle collection mechanisms.
  • Forces Acting on Particles: Essential forces include buoyancy, gravity, drag. These forces combine to influence particle settling velocity.
  • Stokes Law: Describes terminal settling velocity for particles under laminar flow. Includes density of particle and air, particle diameter, and fluid viscosity/gravity
  • Particulate Size Distribution: Important for efficiency of collection mechanisms. Different particle size ranges means different collection methods.
  • Aerodynamic Diameter vs. Stokes Diameter: Importance of aerodynamic diameter relates to collection efficiency. Stokes diameter also crucial, but more complicated.
  • Standard Deviation: Measures the spread/consistency in particle size, critical for understanding and evaluating treatment methods.
  • Cunningham Correction Factor: Accounts for deviations from the continuous fluid assumption when particle size is small.
  • Mechanisms for PM Collection: Methods including gravity settlers, cyclones, electrostatic precipitators (ESPs), fabric filters, and scrubbers. Specific roles of each type and how they work.
  • Examples illustrate ways to calculate overall efficiency, and the impact of various types of parameters.
  • How to Control PM: Methods involve bringing particles into contact with each other to coalesce, and grow in size (often using water). These coalesced materials are often sent to a landfill. Collection mechanisms also vary.
  • Collection Mechanisms, Inertial Impaction: Particles are impacted by moving structures.
  • Collection Mechanisms, Interception: Particles are collected by structures due to their shape rather than inertial forces.
  • Collection Mechanisms, Brownian Diffusion: Small particles are deflected from their path due to bombardment by gas molecules.

(II) Forces Acting on Particles & Stokes Law

  • Forces Acting on Particles in a Fluid
  • Drag Force / Stokes Law
  • Terminal Settling Velocity
  • Assumptions for Stokes' Law (continuous fluid, laminar flow, Newton's law of viscosity)
  • Why Settling Velocity is Important in controlling air pollution.

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Description

This quiz covers key concepts related to particulate matter (PM) in air pollution control, including common pollutants, formation processes, and particle size distributions. Understanding the efficiency of particle collection devices is crucial for managing air quality and protecting human health.

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