$(10$ pts$)$ Diaz $(1992)$ reported the following values for Mexico City clay: void ratio $(e)=12\mathrm{.}2,$ natural water content $(w)=460\%,$ and specific gravity of solids $(G_s)=2\mathrm{.}65.$ Please do the following:

From the given values, and assuming $V_s=1m^3,$ compute all of the remaining quantities entering a phase diagram, i$.$e$.,V_a,VW{W}_{30},$ and $W_s.$

Ner$,$ compute the degree of saturation $(S).$

Finally, compute the moist unit weight $(),$ dry unit weight $({}_d),$ and the unit weight of the solid phase $({}_s).$