Question $3(20$ marks$)$

a$)$ i$.$ Calculate difference between the equivalent volume diameter and the equivalent surface

diameter for a cube of $1m$ side length.

ii$.$ What would the sphericity of the cube in i$.$ be$?$ Show all workings.

b$)$ The data from an experiment performed on a hydrocyclone is given in Table $2.$ Show sample

calculations for all steps for row containing $75$ microns.

i$.$ Calculate the actual and corrected partition curves to the coarse product stream?

ii$.$ Using the graph paper provided plot the corrected partition curve.

iii. What is the value of the corrected cut$-$size?

Table $2$: Data from an experiment performed on a $4$ inch Krebs hydrocyclone