Standard compaction on volcanic ash $($USCS classification: $MH,G_s=2\mathrm{.}69)$ produced the following results:

$\backslash$table$[[{}_d(\frac{t}{m^3}),1\mathrm{.}27,1\mathrm{.}31,1\mathrm{.}35,1\mathrm{.}32,1\mathrm{.}29,1\mathrm{.}24],[(\%),25\mathrm{.}8,27\mathrm{.}3,30\mathrm{.}0,32\mathrm{.}0,34\mathrm{.}0,36\mathrm{.}1]]$

a$.$ Plot these results on a conventional ${}_d$ versus $$ diagram.

b$.$ Plot the results again on a void ratio $e$ versus water void ratio $e_w$ diagram. Show lines of $80,90,$ and $100\%$ saturation as well as lines defining $0,10,$ and $20\%$ air voids.

$($Note: $e_w=\frac{V_w}{V_s}$ and $e_a=\frac{V_a}{N_s}).$