A graduate engineer did some laboratory filtration experiments to predict performance of a filter

$CaC{O}_3$ slurry filter. Table $2$ shows results from a laboratory filtration test conducted at a constant

pressure drop of $46$kPa at a temperature of $25C$ using a filter with an area of $440c{m}^2.$ The raw slurry

contained $23\mathrm{.}5\frac{g}{L}CC{O}_3$ in $H_{2}O.$

HINT: Use this Equation:

$\frac{t}{\frac{V}{A}}=\frac{c}{2P}(\frac{V}{A})+\frac{R_f}{P}$

Table $2$: Results of laboratory filtration trials at constant $P$ of $46$kPa

a$)$ Determine the specific cake resistance $()$ and the resistance of the filter cloth $(R_f).$

b$)$ Assume the cake is incompressible and determine the time required to filter $20,000L$ of slurry

through a filter with an area of $10m^2$ and pressure drop of $195$kPa.

c$)$ The graduate engineer noticed the filtration was taking longer than expected and returned to

the lab for a second experiment. The second filtration experiment was conducted at a

constant pressure drop of $195$kPa $($results shown in Table $3).$ Based on these results, was the

assumption of incompressible cake valid? How would this impact the filtration time calculated

in $($b$)?$

Table $3$: Results of laboratory filtration trials at constant $P$ of $195$kPa.

I am mainly confused how to find viscosity so i can use the formula kp$=($alpha$*$mu$*$c$)/$A$^2$ Delta P