Question

In a total volume of 1 \(\text{m}^3\) of soil, if the pores volume is 0.5 \(\text{m}^3\), then the porosity of soil grains is

• A. 30.33 %
• B. 33.33 %
• C. 50 %
• D. 50.33 %

Hint:

Porosity is a measure of the empty pore space in a soil. It is defined as the ratio of the volume of voids (pores) to the total volume of the soil, usually expressed as a percentage.

Answer 1

The Correct Option is C

Step 1: Recall the meaning of porosity.
Porosity tells how much of the soil is empty pore space. It is the share of the total volume that is taken up by voids.

Step 2: Write the formula.
\[ n = \frac{V_{voids}}{V_{total}} \times 100 \]

Step 3: Note the given values.
Total volume \(V_{total} = 1 \ \text{m}^3\) and pore volume \(V_{voids} = 0.5 \ \text{m}^3\).

Step 4: Put the numbers in.
\[ n = \frac{0.5}{1} \times 100 \]

Step 5: Simplify.
\[ n = 0.5 \times 100 = 50\% \]
Half of one cubic metre is exactly half the volume, so the share of voids is one half.

Step 6: Conclusion.
The porosity of the soil is 50 percent.
\[ \boxed{n = 50\%} \]