Question $(1)[5$ Marks CLO $1]$:

The plastic limit$,$ and liquid limit of fine$-$grained soil are $0\mathrm{.}32,$ and $0\mathrm{.}5$ respectively. If

the dry mass of a specimen of the soil is $100$ g $.$

$($a$)$ Calculate the mass of water in the soil specimen at the following states: $($i$)$ the

plastic limit$,$ and $($ii$)$ the liquid limit$.$

$($b$)$ If the natural water content of the soil is $40$ g $,$ calculate the mass of water the

sample would take to reach the liquid limit$.$

$($c$)$ What is the value of plasticity index for this soil?