$1\mathrm{.}1$ The moist unit weight for a sandy soil is $18\mathrm{.}9k\frac{N}{m},$ If the moisture content is $13\mathrm{.}5$ percent and the specific gravity of soil solids is $2\mathrm{.}69,$ find the following:

$2.$ Dry unit weight.

b$.$ Void ratio.

c$.$ Porosity.

d$.$ Degree of saturation.

$1\mathrm{.}2.$ A laboratory study showed that a soil has the following physical properties:

$\backslash$table$[[$Sieve Na$,$Soll, Fercentage Passing$],[4,100],[10,100],[20,98\mathrm{.}1],[40,96\mathrm{.}5],[60,95],[100,90\mathrm{.}4],[200,85\mathrm{.}5]]$

moisture content

moist unit weight

specific gravity of the solids

plastic limit

liquid limit

a$.$ Determine the plasticity and liquidity indices and properties.

b$.$ Classify the soil using the USC system.