Question $3$

a$)$ Write the filtration equation and briefly describe all the terms involved.

b$)$ A filtration test was carried out on a sulfide concentrate $(SG=4)$ of $40\%$ solids $($w$/$w$)$ using a

batch test with a constant gauge pressure of $300$kPa. The area of the filter was $0\mathrm{.}1m^2.$ The test

results yielded the filtration equation expressed in usual units $(\frac{s}{m})$ :

$\frac{t}{(\frac{V}{A})}=59\mathrm{.}6(\frac{V}{A})+20\mathrm{.}8$

Calculate the values of the following properties assuming the liquid used in the batch test in part $($b$)$

is pure water:

i the specific resistance of the filter cake $(r)$

ii thickness of the filtration medium $($L$).0\mathrm{.}348m$

c$)$ A plant scale filter using the same filter media is to be used to filter the same sulfide concentrate

as in $($b$)$ at $70\%$ solids $($w$/$w$)$ and at a pressure differential of $250$kPa. If the area of the plant

filter is $9\mathrm{.}6m_2$ use the batch test equation to estimate the quantity of filtrate that would pass

through the filter in $1$ hour. State any assumptions made in your calculation.