PROBLEM $2$

A balloon type apparatus is used to determine an in$-$place

unit weight for as soil. The volume of the test hole

determined by reading the water level graduations on the

apparatus cylinder before and after digging the test hole is

$0\mathrm{.}000708$ cum. The wet weight of a soil is obtained from

the test hole is $1410$ g $.$ the soil sample was dried on a field

stone and weighs $1237$ g $.$

Compute the water content of the tested soil.

Compute the in$-$place dry unit weight of the tested soil.

Determine the percentage of compaction for the test

result if the soil is a part of a compacted earth fill whose

maximum unit weight $($from laboratory compaction

tests$)$ is $18\mathrm{.}57K\frac{N}{m^3}.$