A monomedia filter $0\mathrm{.}75$ m deep contains sand with an effective size of $0\mathrm{.}55$ mm$.$ The sand has a density of $2650$ kg$/$m$3.$ The filtration rate is $8$ m$/$h$,$ and the design temperature is $10$ C $(\backslash$rho $=999\mathrm{.}7$ kg$/$m$3,\backslash$mu $=1\mathrm{.}31$ x $10-3$ kg$/$m$-$s$).$ Determine the head loss $($m$)$ through the filter. Use the Ergun equation and the midpoint Ergun parameters for sand: kv $=112,$ ki $=2\mathrm{.}25,\backslash$epsi $=42\%$