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If 100 \(\text{cm}^{3}\) of soil has an oven dry weight of 135 grams, what is its bulk density ?

  • A.\(1.35\ \text{g/cm}^{3}\)
  • B.\(0.75\ \text{cm}^{2}\text{/g}\)
  • C.\(13{,}500\ \text{g/cm}^{3}\)
  • D.\(1.53\ \text{g/cm}^{3}\)

Answer: A

The bulk density is \(1.35\ \text{g/cm}^{3}\).

Bulk density is the oven-dry mass of soil divided by its total volume:

\[ \begin{aligned} \rho_b &= \frac{\text{dry mass}}{\text{volume}} \\ &= \frac{135\ \text{g}}{100\ \text{cm}^{3}} = 1.35\ \text{g/cm}^{3} \end{aligned} \]

The distractors come from common slips. 1.53 reverses the digits; 13,500 multiplies mass by volume instead of dividing; and 0.75 (strictly about 0.74) is volume divided by mass, which also has the wrong units. A value of 1.35 is typical of a mineral soil.

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