Question $1[20$ Marks$]$

You were given two soil samples, Soil A and Soil B$,$ as follows:

$\backslash$table$[[,$Soil A$,$Soil B$],[$Water content $(\%),10,3\mathrm{.}4],[$Bulk density $($kg$/$m$3),2185,1509],[$Specific Gravity $($Gs$),2\mathrm{.}8,2\mathrm{.}3]]$

$1\mathrm{.}1.$ Add $0\mathrm{.}25$ litres of water per $kg$ of total mass to Soil A and mix it$.$ What would the water content of Soil $A$ be$?$

$1\mathrm{.}2.$ Add $0\mathrm{.}13$ litres of water per $kg$ of dry mass to Soil $B$ and mix it$.$ What would the

$(2)$

water content of Soil B be$?$

$1\mathrm{.}3.$ Now, take $1\mathrm{.}2kg$ total mass of Soil A and $2\mathrm{.}5kg$ total mass of Soil B and mix it $($after wetting up$,$ as per questions $1\mathrm{.}1$ and $1\mathrm{.}2).$ What is the water content of mixture?

$1\mathrm{.}4.$ If an equal dry mass of the original Soil A and $B($with the initial water content of $10\%$ and $3\mathrm{.}4\%,$ respectively$)$ was taken and mixed thoroughly and compacted to a density where the degree of saturation is $92\%,$ how much water will need to be added per cubic meter of compacted soil mixture to saturate the

$(5)$

sample?

$1\mathrm{.}5.$ What is the Buoyant unit weight of the compacted and saturated soil mixture in question $1\mathrm{.}4($above$)?$

$(4)$

$1\mathrm{.}6.$ If Soil A was to be compacted at it initial water content of $10\%,$ what would its maximum theoretical density be$?$

$(2)$