A soil sample is removed from below the water table $(100\%$ saturation$).$ The water content is $28\%$ and the dry unit weight is $15\mathrm{.}2k\frac{N}{m^3}.$ Determine the following:

a$)$ saturated unit weight,

b$)$ void ratio, and

c$)$ specific gravity of solids

Problem $3$

The natural water content of a soil sample taken from a potential borrow source was found to be $9\mathrm{.}0\%.$ It has been calculated that the optimum moisture content to reach maximum density for the soil will be obtained when the water content reaches $18\mathrm{.}0\%.$ Compute how many pounds of water must be added to each kip $(1,000$ pounds$)$ of insitu soil in order to increase the water content from $9\mathrm{.}0\%$ to $18\mathrm{.}0\%.$ Use two block diagrams to determine this, although you will not be able to fill them out completely.