Problem $2$: $(20$ points$)$

In its natural state a moist soil has a volume of $0\mathrm{.}45ft3$ and weight of $51\mathrm{.}32lb.$ The

oven$-$dry weight of soil is $48\mathrm{.}48lb.$ Find the followings $(Gs=2\mathrm{.}63)$:

$($a$)$ Moisture content

$($b$)$ Moist unit weight

$($c$)$ Dry unit weight

$($d$)$ Void ratio

$($e$)$ Degree of saturation

$($f$)$ Weight of water to be added to have $100\%$ saturation