Particle Technology

Particle size and distributions

Problems 2.9

Question 3
In the last question you used data provided in tabular form. This question uses continuous functions to describe the size distribution and you will need to derive an equation for size the cumulative distribution (by inspection) differentiate it (to give the frequency distribution) and then substitute and integrate the resulting expression to provide the specific surface area per unit volume. All equations are reviewed as we go.

The cumulative size distribution of a powdered material may be represented as a straight line on a % number undersize versus particle diameter (x) graph passing through the points 0% by number at 1 micron and 100% by number at 101 micron.

Use the figure opposite to answer the question below.

	a) x - 1 b) x/100 - 1 c) x/100 - 0.01 d) x-100
Note, work in fractional terms and NOT percentages