a$)$ Water content Determination $(1\mathrm{.}5$pts$)$

A given quantity of each soil were weight using a balance and placed in a heat chamber at $105C$ for $5$ hrs$.$ The following results were obtained.

$\backslash$table$[[$Designation$,$A$,$B$,$C$],[$Mass before heating $(g),763\mathrm{.}6,356\mathrm{.}8,557\mathrm{.}0],[$Mass after heating $(g),696\mathrm{.}6,274\mathrm{.}0,551\mathrm{.}3]]$

Calculate the quantity of water in each sample then deduce the water content of the each soil materials.

b$)$ Sieve Analysis $(3$ pts$)$

Wet samples of the different soil materials where then used to carried out the sieve analysis as per the NF EN $933-1$ test procedure. The tables below shows the results obtained.

$\backslash$table$[[$Designation$,$A$,$B$,$C$],[$Masse of wet samples,$2068\mathrm{.}3,1529\mathrm{.}5,12822\mathrm{.}2],[$Sieve size $(mm),$Cumulative retains $($g$)],[31\mathrm{.}5,0,,25],[25,24,,714\mathrm{.}2],[20,92\mathrm{.}4,,2431\mathrm{.}3],[16,195\mathrm{.}9,,3556\mathrm{.}3],[12\mathrm{.}5,208\mathrm{.}6,,4517\mathrm{.}6],[10,354\mathrm{.}2,,5466\mathrm{.}6],[8,634\mathrm{.}0,,6525],[5,843\mathrm{.}5,0,7685\mathrm{.}4],[4,852\mathrm{.}3,0,8116\mathrm{.}4],[2,1019\mathrm{.}8,24\mathrm{.}6,9005\mathrm{.}3],[1,1154\mathrm{.}9,142\mathrm{.}3,9671\mathrm{.}9],[0\mathrm{.}5,1255\mathrm{.}8,339\mathrm{.}8,10193\mathrm{.}6],[0\mathrm{.}25,1335\mathrm{.}5,516\mathrm{.}4,10766],[0\mathrm{.}08,1428\mathrm{.}2,695\mathrm{.}8,11696\mathrm{.}2],[,,,]]$

Using the results of part $($a$),$ calculate the mass of solid particles used for the sieve analysis test. With this mass, calculate the cumulative passing $(\%)$ and plot the soil gradation curve of each samples.

What is the type of gradation of each soil sample? Appendix $1$

c$)$ Atterbergs Limits $(1\mathrm{.}5$ pts$)$

The plasticity test carried out on each sample gave the following results.

$\backslash$table$[[$Designation$,$A$,B,$C$],[$Shrinkage limit $(\%),23\mathrm{.}5,20\mathrm{.}5,\backslash$table$[[$The test was$],[$unrealizable on$],[$the sable$]]],[$Liquid limit $(\%),55\mathrm{.}0,59\mathrm{.}1],[$Plastic limit $(\%),28\mathrm{.}8,27\mathrm{.}3],[$VBS$,2\mathrm{.}75,3\mathrm{.}02]]$