$)$ A gray silty clay is sampled from a depth of $12\mathrm{.}5$ ft$.$ The $$moist$$ soil was extruded from a $6-$in high brass liner with an inside diameter of $7\mathrm{.}18$ cm and weighed $823$ g$.($Problem $2\mathrm{.}16)$

a$.$ Calculate the wet $($total$)$ unit weight in lb$/$ft$3.$

b$.$ A small chunk of the original sample had a wet weight of $154\mathrm{.}3$ g and weighed $74\mathrm{.}3$ g after drying. Compute the water content.

c$.$ Compute the dry density in kg$/$m$3.$