It is desired to remove $2,4,6$ trichlorophenol using a carbon adsorption system from $395m\frac{g}{L}$ to $10m\frac{g}{L}.$

The following information is provided:

Design water flow rate: $250,000ga\frac{l}{?}$ day

Laboratory tests were performed, and the following data were obtained for the Bohart$-$Adams Model:

Area $of$ lab columns $=3\mathrm{.}14i{n}^2=2\mathrm{.}045{10}^{-3}{m}^3$

$a=2\mathrm{.}3$ days $\frac{?}{ft}$

$b=-10$ days $in$ laboratory tests

Cin $=395m\frac{g}{L}$

Cout $=10m\frac{g}{L}$

Loading rate $(V)=4$ gal $\frac{?}{f{t}^2}-$min

Height $of$ adsorption zone $=19ft=5\mathrm{.}8m$

a$.$ How many columns would be needed?

b$.$ What should be the area of each carbon adsorption column $(m^2)$ for this loading rate?

c$.$ What is the velocity of adsorption zone $(\frac{m}{d})?$

d$.$ What is the carbon utilization rate $(K\frac{g}{d})?$