a$.$ The following data were obtained from a test to determine the water content of a soil sample

from a construction site:

Mass of empty container $-25\mathrm{.}07$ g

Mass of container filled with wet soil sample $-87\mathrm{.}55$ g

Mass of container filled with dry soil sample $-75\mathrm{.}07$ g $.$

Calculate the water content of the soil sample

b$.$ If a $1$ kg $.$ soil sample, taken from the same construction site as in $2$ a $,$ has a natural water content

of $27\%$ and occupies a total volume of $520$cm$^(3),$ determine the following properties of the soil.

Assume the specific gravity of the soil is $2\mathrm{.}65.$

i$.$ The unit weight in kN$//$m$^(3)$

ii$.$ The specific volume

iii. The saturation ratio