A standard Proctor test was performed for a soil with a mould volume of

$1000$ cm$3$

$.$ The results obtained are presented in table $5$a$.$ Plot the dry

density moisture content relationship $8$

Moisture Content $(\%)$ Moist mass of

soil in the mould

$($g$)$

$5\mathrm{.}61420$

$71683$

$10\mathrm{.}81932$

$13\mathrm{.}31964$

$14\mathrm{.}81830$

$16\mathrm{.}21630$

Table $5$a

b$)$ Determine the maximum dry density and the optimum moisture content. $2$

c$)$ If the particle specific gravity, Gs $=2\mathrm{.}66,$ calculate the degree of

saturation $($Sr$)$ and the void ratio $($e$)$ at the maximum dry density. $6$

d$)$ What is the bulk unit weight of the soil at the optimum moisture content? $4$

e$)$ What is the range of moisture content within which $90\%$ relative

compaction can be achieved?