$(25$ points$)$ A tracer experiment was conducted in the lab as shown in the figure below. The $H_{2}O$

volume collected at the right end of the apparatus is $123mL$ over $2$ mins. A tracer dye plume of

mass $M=22\mathrm{.}5gr$ was released instantaneously in a minimal spatial spread and was transported

over $9$min and $10sec.$

a$.$ Using hydrogeologic concepts and making relevant assumptions calculate the relevant

parameters hydraulic conductivity $K,$ and porosity $n.$

b$.$ Using plume moments or analytical solutions estimate dispersivity $($assume it is

isotropic$).$