Problem $7$

For a sandy soil $(G_s=2\mathrm{.}7),$ the laboratory determined maximum void ratio was found to

be $0\mathrm{.}75,$ and the minimum void ratio was $0\mathrm{.}52.$ The in$-$situ relative density was

determined to be $65\%.$ What is the in$-$situ void ratio of this soil?

Problem $8$

You are given the following information based on a soil sample:

$S=60\%,=96l\frac{b}{f}{t}^3,w=17\%$

a$.$ Using the phase diagram approach $($volume$-$weight$),$ determine the void ratio,

specific gravity of the solids, and saturated unit weight. You must draw the

phase diagram and fill in all values. Use units of $f{t}^3$ and lb $.$ Calculations must be

neat and organized.

b$.$ What is the additional volume of water per $f{t}^3$ required to reach $90\%$ saturation?

Problem $9$

You are given the following information based on a saturated soil sample:

$G_s=2\mathrm{.}67,w=23\%$

Using the phase diagram approach $($volume$-$weight$),$ determine the void ratio, saturated

unit weight, and dry unit weight. You must draw the phase diagram and fill in all values.

Use units of $m^3$ and kN $.$ Calculations must be neat and organized.