Q$2.$ A fully saturated soil sample has a diameter of $5\mathrm{.}0cm$ and a length of $10\mathrm{.}2cm.$ The

mass of the sample was $397g$ initially and after drying it reduced to $313g.$ If the specific

gravity of the soil solids is $2\mathrm{.}7,$ find:

a$).$ the water content $($as a percentage$).$

b$).$ the void ratio.

c$).$ the porosity.

d$).$ the dry unit weight.

e$).$ the buoyant unit weight.

f$).$ Draw the phase diagram and label all quantities $($e$.$g$.,V,V_v,V_w,V_a,V_s$ and $M,$

$M_a,M_w,M_s).$ Hint: your diagram should look like the one on p$\mathrm{.}82,$ Ch$.3$ of the

Lecture notes.