For a given soil, the following are given:

Gs $=2\mathrm{.}67$;

moist unit weight,

$=120\mathrm{.}0$ lb$/$ft$3$;

and moisture content,

w $=14\mathrm{.}6\%.$

Determine the weight of water, in pounds, to be added per cubic foot of soil for the following.

$($a$)$

$80\%$ degree of saturation

lb$/$ft$3$

$($b$)$

$100\%$ degree of saturation

lb$/$ft$3$