Question

Difficulty: HardEcological Factors and Their Measurement

A biology student investigating edaphic factors collected 100 cm3100\text{ cm}^3 of an undisturbed garden soil sample in a graduated cylinder and added 100 cm3100\text{ cm}^3 of water. After stirring thoroughly and allowing all trapped air bubbles to escape, the final settled volume of the soil-water mixture measured 160 cm3160\text{ cm}^3. What is the percentage porosity of this soil sample?

  1. 40%40\%Answer
  2. B
    60%60\%
  3. C
    25%25\%
  4. D
    16%16\%

Answer

The percentage porosity of the garden soil sample is 40%40\%.
Soil porosity represents the percentage of pore space (voids filled with air or water) within a given volume of soil. When 100 cm3100\text{ cm}^3 of water is added to 100 cm3100\text{ cm}^3 of dry soil, the expected combined volume without pores would be 200 cm3200\text{ cm}^3. The actual mixture volume of 160 cm3160\text{ cm}^3 indicates that 40 cm340\text{ cm}^3 of air was displaced by water. Expressed as a percentage of the original 100 cm3100\text{ cm}^3 soil volume, the porosity is 40 cm3100 cm3×100%=40%\frac{40\text{ cm}^3}{100\text{ cm}^3} \times 100\% = 40\%.

Step-by-Step Solution

1
Calculate the theoretical total volume if no air spaces were present.
Theoretical volume = Volume of soil+Volume of water=100 cm3+100 cm3=200 cm3\text{Volume of soil} + \text{Volume of water} = 100\text{ cm}^3 + 100\text{ cm}^3 = 200\text{ cm}^3.
Water fills the pore spaces previously occupied by air in the soil sample.
2
Determine the volume of air spaces (pores) in the soil sample.
Volume of air spaces = Theoretical volumeActual mixture volume=200 cm3160 cm3=40 cm3\text{Theoretical volume} - \text{Actual mixture volume} = 200\text{ cm}^3 - 160\text{ cm}^3 = 40\text{ cm}^3.
The reduction in expected total volume corresponds directly to the volume of displaced air.
3
Calculate the percentage porosity using the ratio of pore space volume to initial soil volume.
Percentage Porosity=(Volume of air spacesInitial volume of soil)×100%=(40 cm3100 cm3)×100%=40%\text{Percentage Porosity} = \left(\frac{\text{Volume of air spaces}}{\text{Initial volume of soil}}\right) \times 100\% = \left(\frac{40\text{ cm}^3}{100\text{ cm}^3}\right) \times 100\% = 40\%.
Porosity measures the percentage of total soil volume occupied by pore spaces.

Key Concept

Soil Porosity Measurement (Edaphic Factor Analysis)
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