Question:
The grain density (of solids only) and bulk density (solids + voids) of a sandstone sample are 2.7 gm/cm³ and 2.3 gm/cm³, respectively. The total porosity (in %, correct to two decimal places) of the sample is ...........
The grain density (of solids only) and bulk density (solids + voids) of a sandstone sample are 2.7 gm/cm³ and 2.3 gm/cm³, respectively. The total porosity (in %, correct to two decimal places) of the sample is ...........
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Total porosity is a measure of the void space in a rock or sediment and can be calculated using the grain density and bulk density.
Updated On: Dec 5, 2025
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Correct Answer: 14 - 15
Solution and Explanation
Step 1: Use the formula for porosity.
The total porosity \( \phi \) is given by the equation:
\[
\phi = \frac{\text{Grain density} - \text{Bulk density}}{\text{Grain density}} \times 100
\]
Substitute the given values:
\[
\phi = \frac{2.7 - 2.3}{2.7} \times 100 = \frac{0.4}{2.7} \times 100 = 14.81%
\]
Thus, the total porosity of the sample is 14.81%.
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