GPAT Micromeritics & Rheology Revision

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GPAT Revision Summary Sheet for Chapter: Micromeritics and Powder Rheology – covering high-yield advanced topics including equivalent diameters, mean particle size calculations, specific surface area, comminution laws, particle size distribution, flow and packing properties, compaction equations (Heckel, Kawakita), and GPAT traps. Include tables, formulas, and quick MCQ tips for revision.

Concise GPAT revision sheet on Micromeritics & Powder Rheology: diameters, means, surface area, comminution laws, PSD, flow/packing properties, Heckel/Kawakita equations, plus tables, formulas & MCQ t

January 1, 20268 slides
Slide 1 of 8

Slide 1 - GPAT Micromeritics & Powder Rheology

This title slide introduces a GPAT revision session on Micromeritics & Powder Rheology. It highlights high-yield advanced topics including diameters, means, particle size distribution (PSD), flow, compaction, and MCQs.

GPAT Revision: Micromeritics & Powder Rheology

High-Yield Advanced Topics: Diameters, Means, PSD, Flow, Compaction & MCQs

Source: GPAT Revision Summary Sheet

Speaker Notes
High-yield advanced topics: diameters, mean sizes, surface area, laws, PSD, flow/packing, compaction eqns, traps & MCQs.
Slide 1 - GPAT Micromeritics & Powder Rheology
Slide 2 of 8

Slide 2 - Revision Agenda

The "Revision Agenda" slide outlines key topics for review, including Equivalent Diameters & Mean Sizes, and Specific Surface Area & Comminution Laws. It also covers Particle Size Distribution & Flow Properties, along with Packing, Compaction Equations & GPAT Traps.

Revision Agenda

  1. Equivalent Diameters & Mean Sizes
  2. Specific Surface Area & Comminution Laws
  3. Particle Size Distribution & Flow Properties
  4. Packing, Compaction Equations & GPAT Traps

Source: GPAT Revision Summary Sheet: Micromeritics and Powder Rheology

Speaker Notes
High-yield advanced topics with formulas, tables, and GPAT MCQ traps.
Slide 2 - Revision Agenda
Slide 3 of 8

Slide 3 - Equivalent Diameters & Mean Particle Size

This section header slide, titled "Equivalent Diameters & Mean Particle Size" (Section 02), introduces key concepts in particle analysis. It highlights essential diameters, along with formulas and calculations for mean particle size.

Equivalent Diameters & Mean Particle Size

02

Equivalent Diameters & Mean Particle Size

Key diameters, mean particle size formulas & calculations

Source: GPAT Revision Summary Sheet

Speaker Notes
Key diameters: Martin, Feret, projected. Means: Arithmetic Dn, D(4,3), D(3,2), D(2,2), D(1,0). Formulas & calculations.
Slide 3 - Equivalent Diameters & Mean Particle Size
Slide 4 of 8

Slide 4 - Particle Size Means Formulas

The slide presents a table of particle size mean formulas, including Dn (number-average diameter: Σni di / Σni), Dv (volume-surface diameter: Σni di⁴ / Σni di³), D[4,3] (De Brouckere volume mean: same as Dv), and D[3,2] (Sauter surface-volume: Σni di³ / Σni di²), with descriptions and calculation tips. It highlights common uses like laser diffraction default for De Brouckere and volume distribution for Dv.

Particle Size Means Formulas

MeanFormulaDescriptionCalc Tip
Dn (Number)Σni di / ΣniNumber-average diameterSum weighted by count
Dv (Volume)Σni di⁴ / Σni dVolume-surface diameterVolume dist. common
D[4,3] (De Brouckere)Σni di⁴ / Σni dVolume mean diameterLaser diffraction default
D[3,2] (Sauter)Σni di³ / Σni dSurface-volume diameterSpecific surface key

Source: GPAT Micromeritics Revision

Speaker Notes
Quick calc tips: Use count (n_i), diameter (d_i). Dn for number dist., Dv for volume. Trap: Exponents matter! MCQ: Identify mean type from formula.
Slide 4 - Particle Size Means Formulas
Slide 5 of 8

Slide 5 - Specific Surface Area & Comminution

This section header slide introduces the topic of Specific Surface Area and Comminution. It features the subtitle "Formulas, Laws & GPAT Revision Essentials," highlighting key concepts for review.

Specific Surface Area & Comminution

Specific Surface Area & Comminution

Formulas, Laws & GPAT Revision Essentials

Source: GPAT Revision Summary Sheet

Speaker Notes
Key formulas: SSA = 6/ρd (spherical). Comminution laws: Rittinger (E∝1/D), Kick (E∝lnD), Bond (E∝1/√D).
Slide 5 - Specific Surface Area & Comminution
Slide 6 of 8

Slide 6 - Comminution Laws Table

The slide presents a table of comminution laws, including Rittinger (E = K(1/D₂ - 1/D₁) for fine grind), Kick (E = K ln(D₁/D₂) for coarse reduction), and Bond (E = K(1/√D₂ - 1/√D₁) for medium grind). It outlines the energy equations and primary applications for each law in particle size reduction processes.

Comminution Laws Table

LawEnergy EquationApplication
RittingerE = K(1/D₂ - 1/D₁)Fine grind
KickE = K ln(D₁/D₂)Coarse reduction
BondE = K(1/√D₂ - 1/√D₁)Medium grind

Source: GPAT Revision: Micromeritics

Slide 6 - Comminution Laws Table
Slide 7 of 8

Slide 7 - Flow, Packing & Compaction

The slide covers key powder properties and models related to Flow, Packing, and Compaction. It lists flow metrics like angle of repose, Carr's index, and Hausner ratio; packing via bulk/tap density; and compaction equations including Heckel (ln(1-E) = K·P + A) and Kawakita (Pn/P₀ = 1/(1 + a·Pn)).

Flow, Packing & Compaction

  • Flow: Angle of repose, Carr's index, Hausner ratio
  • Packing: Bulk/tap density
  • Heckel: ln(1-E) = K·P + A
  • Kawakita: Pn/P₀ = 1/(1 + a·Pn)

Source: GPAT Micromeritics Revision

Speaker Notes
Key metrics: Flow via repose angle/Carr/Hausner; Packing densities; Compaction via Heckel/Kawakita equations. MCQ trap: Hausner >1.25 poor flow.
Slide 7 - Flow, Packing & Compaction
Slide 8 of 8

Slide 8 - GPAT Traps & MCQ Tips

The GPAT Traps & MCQ Tips slide outlines key pitfalls and strategies for pharmaceutical topics, including avoiding unweighted averages in mean size calculations, matching laws like Kick and Rittinger to grind types, and identifying compaction plots via Heckel equations. It also covers flow angle benchmarks (<20° excellent, >40° poor), Heckel equation details (Py = 1 - exp(-kP)), and Kawakita model matching.

GPAT Traps & MCQ Tips

Source: Micromeritics Revision

Speaker Notes
Quick traps and tips for high-yield GPAT MCQs on particle size, laws, compaction, flow.
Slide 8 - GPAT Traps & MCQ Tips

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