Question $3$

A sieve analysis on media for a filter yields the data shown below.

a$)$ Determine the effective size and the uniformity coefficient of the media. Use a log$-$probability

plot since sieve analysis data often appear as a straight line on such a plot.

b$)$ This media is used for a granular media filter with the following specifications:

Use the simplified Carmen$-$Kozeny equation $($below$)$ to calculate the clean$-$bed head loss at a

filtration rate of $13\frac{m}{h}$ and temperature of $10C.$

$h_L=\frac{150}{g}*L*\frac{1}{\frac{O}{{?}^2}{d}^2}*\frac{1-e}{e^3}*V_s$