Question $3$

Consider a soil sample with a total volume of $V=1\mathrm{.}2m^3$ that has been compacted to a total density of

${}_t=2200k\frac{g}{m^3}$ and has a water content of $11\%.$ The value of $G_s$ is $2\mathrm{.}65.$ Determine:

a$)$ The total mass of the soil.

b$)$ The mass of the solids.

c$)$ The mass of the water.

d$)$ The dry density of the soil.

e$)$ The dry unit weight of the soil.

f$)$ The density of the solids.

g$)$ The volume of the solids.

h$)$ The volume of the voids.

i$)$ The volume of water.

j$)$ The volume of air.

k$)$ What is the dry density that this soil would achieve if$,$ through compaction, we could expel all the

air that is trapped in its voids? $($In other words, the density that corresponds to the zero air voids

line at $w=11\%).$