$(5pts)$ A sample of soil was taken from below the groundwater table. The moisture content was determined to be $52\%$ and the specific gravity of solids $(G_s)$ was found to be $2\mathrm{.}69.$ Determine:

$($a$)$ the moist unit weight, $($b$)$ the dry unit weight, $($c$)$ the buoyant $($submerged$)$ unit weight, $($d$)$ the void ratio, and $($e$)$ the porosity.