Determine if the following data, which are given from soil mechanies lab are correct or not:w$\%=22\%,$ Yu $=18$ kN$/$m$\text{'}$ and Gs $=2\mathrm{.}7.$A sample of wet clay was tested in the laboratory and found to weigh $175$ gm$.$ When oven dried itweighted $105$ gm$.$ If its degree of saturation $($S$\%)=81\%$ and Gs $=2\mathrm{.}65,$ determine the following:$1.$ The volume$2\mathrm{.}3.$density gm$/$em$\text{'}$ and unit weight in kN$/$m$\text{'}$Mass of water in kg per $1$ m of the soil that should be added to have the soil fully saturated