Geotechnical engineering, answer provided please show work$/$steps$.$ A partially saturated soil sample weighs $53\mathrm{.}4$ grams with a volume of $36\mathrm{.}5$

$c{m}^3.$ After oven drying, its weight decreases to $42\mathrm{.}7$ grams. The specific

weight of the solid particles is $168l\frac{b}{f}{t}^3.$ Calculate the degree of saturation,

bulk unit weight, and dry unit weight.

$G=52\%$;${}_T=1\mathrm{.}46\frac{g}{c}{m}^3$;${}_d=1\mathrm{.}17\frac{g}{c}{m}^3$