Problem # $1$

A soil sample has total wet mass of $22\mathrm{.}5{10}^{-3}kN$ and total volume of $1\mathrm{.}20{10}^{-3}{m}^3.$ If the volume of water is $0\mathrm{.}20{10}^{-3}{m}^3$ and the specific gravity of soil solids is $2\mathrm{.}7,$ find the following:

a$)$ Moist unit weight

b$)$ Dry unit weight

c$)$ Moisture content

d$)$ Void Ratio

e$)$ Degree of saturation

f$)$ Mass of water in $kg$ per $1m^3$ of the soil that should be added to have the soil fully saturated