Particle Technology

Particle size and distributions

Problems 2.9

Question 2
The following size distribution was obtained for glass spheres by microscope examination.

Size range (um): <5 5-7 7-10 10-15 15-20 20-30 30-40 40-50 >50
Number in range: 0 50 150 200 55 45 20 5 0
Relative number: 0 0.0952 0.2857 0.3810 0.1048 0.0857 0.0381 0.0095 0
Relative mass: 0 0.0039 0.0329 0.1393 0.1051 0.2507 0.3058 0.1625 0

The complete distribution specific surface area per unit volume (Sv) is the total surface area divided by the total volume. It may be calculated by several routes, one is shown in the hint. For the distribution (Sv) is in microns:
a) 0.213
b) 0.240
c) 0.264
d) 0.444

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