SITUATION $18(75-77)$: The following data was obtained from laboratory test for a cohesive specimen: moisture content, was $22\mathrm{.}5\%$; $G=2\mathrm{.}6$; and to determine the approximate unit weight of soil, a sample having a mass of $224\mathrm{.}0$ grams was placed in a $500c{m}^3$ container with $382c{m}^3$ of water required to fill the container.

$75.$ What is the nearest value to the total unit weight of soil sample in $K\frac{N}{m^3}?$

a$.,17\mathrm{.}72K\frac{N}{m^3}$

c$.18\mathrm{.}62K\frac{N}{m^3}$

b$.,19\mathrm{.}72K\frac{N}{m^3}$

d$.17\mathrm{.}62K\frac{N}{m^3}$

$76.$ What is the nearest value to the dry unit weight of soil sample in $K\frac{N}{m^3}?$

a$.,14\mathrm{.}38K\frac{N}{m^3}$

c$.16\mathrm{.}10K\frac{N}{m^3}$

b$.,15\mathrm{.}20K\frac{N}{m^3}$

d$.14\mathrm{.}47K\frac{N}{m^3}$

$77.$ What is the void ratio?

a$.0\mathrm{.}774$

c$.0\mathrm{.}584$

b$.0\mathrm{.}678$

d$.0\mathrm{.}763$

$78.$ For a given sandy soil, $e_{\text{m}\text{a}\text{x}}=0\mathrm{.}75$ and $e_{\text{m}\text{i}\text{n}}=0\mathrm{.}4.$ In the field, the soil is compacted to a moist density of $112l\frac{b}{f}{t}^3$ at a moisture content of $12\%.$ Determine the relative density of compaction. Specific gravity of solids is $2\mathrm{.}7$

a$.0\mathrm{.}219$

c$.0\mathrm{.}197$

b$.,0\mathrm{.}186$

d$.0\mathrm{.}315$

$79.$ A sample of moist sand from the field was found to have a moisture content of $19\%$ and porosity of $42\%.$ In a laboratory test that simulates field conditions, it was found that at loosest state, its void ratio is $92\%$ and at its densest state its void ratio is $55\%.$ Determine the relative density of the sand.

a$.0\mathrm{.}529$

c$.0\mathrm{.}629$

b$.,0\mathrm{.}429$

d$.0\mathrm{.}729$