$40$ Lime softening sludge is thickened from $0\mathrm{.}5\%$ to $4\%$

solids with a solids recovery of $95\%$ using a dissolved

air flotation thickener. A polymer dose of $35m\frac{g}{L}$ is

used to enhance thickening in the $10ft$ diameter

thickener. The lime sludge feed rate is $40,000$ gallons

per day. Determine the following:

a$.$ Solids loading rate $l\frac{b}{f{t}^2*d}.$

b$.$ Volume of float solids $(f\frac{t^3}{d}).$

c$.$ Hydraulic or volumetric loading rate $f\frac{t^3}{f{t}^2*d}.$

d$.$ Polymer additipn rate $($lb polymer$/$dry ton of solids

removed$).$