Question $3(20$ marks$)$:

A particle size distribution test yields the following results:

$\backslash$table$[[\backslash$table$[[$Sieve$],[$Number$]],\backslash$table$[[$Mesh Opening$],[($mm$)]],\backslash$table$[[$Sieve $+$ Soil$],[$Mass $($g$)]],\backslash$table$[[$Empty Sieve$],[$Mass $($g$)]],\backslash$table$[[$Soil Retained on$],[$Sieve $($g$)]]],[4,4\mathrm{.}750,719\mathrm{.}1,520\mathrm{.}3,198\mathrm{.}8],[10,2\mathrm{.}000,871\mathrm{.}4,485\mathrm{.}0,386\mathrm{.}4],[20,0\mathrm{.}850,843\mathrm{.}3,416\mathrm{.}8,426\mathrm{.}5],[40,0\mathrm{.}425,739\mathrm{.}6,375\mathrm{.}9,363\mathrm{.}7],[60,0\mathrm{.}250,646\mathrm{.}6,358\mathrm{.}7,287\mathrm{.}9],[100,0\mathrm{.}150,646\mathrm{.}2,353\mathrm{.}2,293\mathrm{.}0],[140,0\mathrm{.}106,443\mathrm{.}4,345\mathrm{.}8,97\mathrm{.}6],[200,0\mathrm{.}075,452\mathrm{.}5,336\mathrm{.}1,116\mathrm{.}4],[$pan$,--,520\mathrm{.}0,302\mathrm{.}5,217\mathrm{.}5]]$

a$)$ Plot the soil particle size distribution on the supplied chart $($next page$)$ and calculate percent Gavel, percent Sand and percent Fines; and

b$)$ Calculate the Coefficient of Uniformity and Curvature.