Example $3$

The dry unit weight of a soil sample is $14\mathrm{.}8k\frac{N}{m^3}.$ Given that $G_s=2\mathrm{.}72$ and $w=17\%,$ determine:

a$.$ Void ratio $(0\mathrm{.}8)$

b$.$ Moist unit weight $(17\mathrm{.}34k\frac{N}{m^3})$

c$.$ Degree of saturation $(57\mathrm{.}8\%)$

d$.$ Unit weight when the sample is fully saturated $(19\mathrm{.}18k\frac{N}{m^3})$

e$.$ Determine the mass of water $($in kg $)$ to be added per cubic meter $(m^3)$ of soil for $90\%$ and $100\%$ degree saturation. $(1\mathrm{.}41k\frac{N}{m^3}$ and $($:$1\mathrm{.}84k\frac{N}{m^3}\}$