Problem $1-$ Phase Relationship

$12$ pts

A cubic meter of saturated soil has a dry unit weight of $16\mathrm{.}2k\frac{N}{m^3}.$ Its water content is $23\%,$ and unit weight of water is $9\mathrm{.}8k\frac{N}{m^3}.$ Make a reasonable assumption for specific gravity $G_s$ of soil and determine the following soil properties:

a$)$ Draw the soil phase diagram $(7$ pts$)$;

b$)$ Total unit weight $(1$ pt$)$;

c$)$ Dry unit weight $(1$ pt$)$

d$)$ Void ratio $(1$ pt$)$;

e$)$ Porosity $(1$ pt$)$;

f$)$ Saturation $(1$ pt$).$