A soil sample has a total density of $1\mathrm{.}82$ Mg$/$m$3$ and loses $15\%$ of its weight upon oven drying at $100$ o C for $24$ hrs$.$ Assuming the specific gravity of the soil as $2\mathrm{.}6,$ draw the phase diagram and calculate the following.

$($i$)$ Dry density

$($ii$)$ Void ratio

$($iii$)$ Porosity

$($iv$)$ Degree of saturation

$($v$)$ Saturated density

$($vi$)$ Water content at $100\%$ saturation