Question $4$:

Suppose a cyclone is being fed with mica $($density $2800k\frac{g}{m}3)$ in the form of a slurry of pulp $($bulk$)$ density $2000k\frac{g}{m^3}.$ The cyclone underflow density is $2400k\frac{g}{m}3$ and the overflow is $1600k\frac{g}{m^3}.$ Using this information and the information in the table:

a$-$ Illustrate $-$ via a sketch $-$ the working Principe of the cyclone.

b$-$ Plot the efficiency curve.

c$-$ calculate the d$50($cut point$)$ of the cyclone.

d$-$ For particles diameters of $400m$ and $1000m,$ what is the maximum efficiency that can be obtained?

e$-$

$\backslash$table$[[,,],[,,],[,,],[,,],[,,],[,,],[,,],[,,],[,,],[1200,20\mathrm{.}2,0],[900-1200,27\mathrm{.}8,6\mathrm{.}2],[700-900,16\mathrm{.}2,4\mathrm{.}3],[600-700,7\mathrm{.}4,12\mathrm{.}1],[400-600,4\mathrm{.}2,15\mathrm{.}3],[200-400,3\mathrm{.}1,7],[100-200,6\mathrm{.}5,13\mathrm{.}4],[50-100,14\mathrm{.}6,41\mathrm{.}7],[$Total$,100,100]]$