Question

The volume of a soil sample is measured to be 410 cm3, the porosity of the soil sample is approximately 0.43. Estimate the total grain volume for this soil sample.

Answer 1

To estimate the total grain volume of a soil sample with a total volume of 410 cm3 and a porosity of 0.43, the grain volume is calculated as the product of the total volume and (1 - porosity), resulting in approximately 233.7 cm3.

Step-by-step explanation:

To estimate the total grain volume of the soil sample with a measured volume of 410 cm3 and a porosity of approximately 0.43, we need to understand that porosity is the fraction of the total volume of the soil that is occupied by air and water, or pore spaces. The grain volume then consists of the remainder of the total volume that is not pore space.

To calculate this, we can use the formula:

Grain Volume = Total Volume × (1 - Porosity)

For the given problem:

Grain Volume = 410 cm3 × (1 - 0.43) = 410 cm3 × 0.57 = 233.7 cm3

Thus, the estimated total grain volume for this soil sample is approximately 233.7 cm3.