For the compaction test data given in Table Q$3($density of solid, ${}_s=2\mathrm{.}68M\frac{g}{m}3).$

$($a$)$ Plot the compaction curves.

$($b$)$ Establish the maximum dry density and optimum water content for the test.

$($c$)$ Compute the air void at the optimum point for data.

$($d$)$ Plot the zero air voids curve. Also plot the $5\%,10\%,$ and $15\%$ air voids curves

Table Q$3$ Data from a compaction test