Q$1$c: A $500kg$ mixture of galena $(45wt\%)$ and silica $(55wt\%)$ is subjected to an elutriation process with water used as an upward$-$flowing stream at a velocity of $2\mathrm{.}5mm{s}^{-1}.$ Assuming both galena and silica as spherical particles. The densities of galena are $7500kg{m}^{-3}$ and that of silica is $2650kg{m}^{-3}.$ The size distribution of each particle is given in Table $1.$ Use the graph in Figure $1$ for the Reynolds number and drag force calculations.

Answer the following questions:

$($i$)$ Determine the diameter of galena and silica.

$($ii$)$ Find the percentage of each material carried away and left behind.

Table $1$: Particle size distribution for galena and silica

$\backslash$table$[[$Diameter $(m),10,20,30,40,50,60,70,80,100],[$Mass$\%$ undersize,$2,15,28,48,54,64,72,78,88]]$

Use the graph in Figure $1$ for the Reynolds number and drag force calculations.

Figure $1$: Reynolds number versus drag force per unit area.