Q$1)$ For a given soil, $r{d}_{-}2100k\frac{g}{m}3$ and $n=0\mathrm{.}3.$ Determine:

a$.$ Void ratio

b$.$ Specific gravity of soil solids

Q$2)$ The moisture content of a soil sample is $19\%$ and the dry unit weight is $16\mathrm{.}7k\frac{N}{m}3.$ If $G_s=2\mathrm{.}85,$ what is the degree of saturation?

Q$3)$ For a given soil, $w=19\mathrm{.}2\%,Gs=2\mathrm{.}55,$ and $S=85\%.$ Determine:

a$.$ Moist unit weight in $k\frac{N}{m}3$

b$.$ Volume occupied by water

Q$4)$ The degree of saturation of a soil is $65\%$ and the moist unit weight is $16\mathrm{.}86k\frac{N}{m}3.$ When the moist unit weight increased to $17\mathrm{.}52k\frac{N}{m}3,$ the degree of saturation increased to $85\mathrm{.}2\%.$ Determine:

a$.G$ s

b$.$ Void ratio determine:

a$.$ Void ratio

b$.$ Dry unit weight

Q$6)$ For a given sandy soil the maximum and minimum void ratios are $0\mathrm{.}75$ and $0\mathrm{.}56,$ respectively. If $s_{-}2\mathrm{.}78$ and $w=11\%,$ what is the moist unit weight of compaction $(k\frac{N}{m}3)$ in the field if $D{r}_{-}72\%?$

Q$7)$ In $\frac{a}{\frac{?}{?}}$ project, the field moist unit weight was $18\mathrm{.}58k\frac{N}{m}3$ at a moisture content of $9\%.$ If maximum and minimum dry unit weight determined in the laboratory were $16\mathrm{.}9k\frac{N}{m}3$ and $15\mathrm{.}46k\frac{N}{m}3,$ respectively, what was the field relative density?

Q$8)$ soil at a site has a void ratio of $0\mathrm{.}82.$

At the end of compaction, the in$-$place void ratio was found to be $0\mathrm{.}66.$ If the moisture content remains unchanged, then determine:

a$.$ Percent decrease in the total volume of the soil due to compaction

b$.$ Percent increase in the field unit weight

c$.$ Percent change in the degree of saturation

Q$9)$ A $2\mathrm{.}5-$m$-$high sandy fill material was placed at a relative density of $57\%.$ studies indicated that the maximum and minimum void ratios of the fill material are $0\mathrm{.}95$ and $0\mathrm{.}63,$ respectively. specifications required that the fill be compacted to a Dr of $80\%.$ If $G_s-2\mathrm{.}75,$ determine:

a$.$ Dry unit weight of the fill before and after