Question $1-$ Phase Relationship & Compaction

Assuming you are an earthwork construction control inspector and you are checking the field compaction of a layer of soil. The lab compaction curve for the soil is shown in Figure Q$1.$ From the results of a sand replacement test, the volume of soil excavated was $1000c{m}^3.$ It weighted $1900$ g when wet and $1680$ g when dry. The specific gravity of the soil solids is $2\mathrm{.}7.$

$(1)$ What is the dry density of the compacted soil?

$(2)$ What is the field water content?

$(3)$ If the specifications call for the compacted in$-$situ dry density to be at least $95\%$ of the maximum laboratory value and within $+-2\%$ of the optimum water content. Does the sand replacement test results meet specification requirements?

Figure $01$

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