Question $6$

$[12$ marks$]$

A sample of soil in its natural state has a total volume of $0\mathrm{.}75m^3$ and weighs $14\mathrm{.}3kN.$ After being dried,

the soil weighs $11\mathrm{.}9kN.$ The specific gravity of the solids is $2\mathrm{.}82.$ Assuming that the unit weight of

water is $10k\frac{N}{m^3},$ determine the:

a$)$ Total unit weight of the soil in its natural state.

b$)$ Unit weight of the solids.

c$)$ Volume of the solids.

d$)$ Volume of the voids.

e$)$ Weight of the water.

f$)$ Volume of the water.

g$)$ Degree of saturation.

h$)$ Void ratio.

i$)$ Porosity.

j$)$ Water content.

k$)$ Total unit weight if the soil were saturated.