Discussion
The dry density of a soil is 1.5 g/cc. If the saturation water content was 50%, then its saturated density and submerged density would be respectively:
Answer: C
The saturated and submerged densities are 2.25 g/cc and 1.25 g/cc.
At saturation the soil holds water equal to 50% of the weight of its solids, so its bulk density is the dry density times \((1 + w)\):
\[ \begin{aligned} \rho_{sat} &= \rho_d (1 + w) = 1.5 \times 1.5 = 2.25 \\ \rho' &= \rho_{sat} - \rho_w = 2.25 - 1 = 1.25 \end{aligned} \]
Both in g/cc. 1.5 and 1.0 repeats the dry density, 2.0 and 1.0 adds the water content as if it were a density, and 2.50 and 1.50 overstates the saturated density.
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