A rapid sand filter has a sand bed $30$ inches in depth. Pertinent data are:

Specific gravity $=2\mathrm{.}65$

Shape factor $=0\mathrm{.}75$

Porosity $=0\mathrm{.}41$

Filtration rate $=2\mathrm{.}25gp\frac{m}{f}{t}^2$

Operating temperature $=50F(10C)$

The sieve analysis of the sand is shown in Table $1$ below. De

Table $1.$ Sieve analysis for filtration.

$\backslash$table$[[\backslash$table$[[$Sieve$],[$Size$]],\backslash$table$[[$Weight Retained$],[(\%)$termine the head loss for the clean filter bed in a stratified condition using the Rose equation.