Question #$5(4$ pts$.)$:

A Modified Proctor compaction test was conducted on the soil in Question #$3,$ with the results shown below. The weight and volume of the mold used in the test were $4\mathrm{.}95lb$ and $\frac{1}{30}f{t}^3,$ respectively, and the mass of the can was $55$ grams. Based on the results:

a$)$ Plot the Proctor curve for the borrow soil. $(2$ pts$.)$

b$)$ Determine the optimum water content and maximum dry unit weight for the borrow soil. $.$

c$)$ If we can compact to $95\%$ of maximum, determine what moisture content the soil would need in order to match the unit weight required for the soil in Question #$3,$ and if it is in the optimum range based on the Proctor test. $(1$ pt$.)$

$\backslash$table$[[$weight of wet soil and mold $($Ib$),$mass of can and wet soil $($g$),$mass of can and dry soil $($g$)],[9\mathrm{.}11,110\mathrm{.}43,102\mathrm{.}51],[9\mathrm{.}02,120\mathrm{.}44,115\mathrm{.}50],[8\mathrm{.}88,109\mathrm{.}52,106\mathrm{.}21],[9\mathrm{.}28,130\mathrm{.}06,121\mathrm{.}42],[9\mathrm{.}17,127\mathrm{.}57,120\mathrm{.}64]]$