# If the porosity of a soil is 0.5, its void ratio will be: _______.

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If the porosity of a soil is 0.5, its void ratio will be: _______.
1. 0.2
2. 0.33
3. 1
4. 0.71

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Correct Answer - Option 3 : 1

Concept:

Void ratio (e):

Void ratio is usually defined as the ratio of the volume of voids to the total volume of soil solid.

Porosity (n):

Porosity is defined as the ratio of the volume of voids to the total volume of the soil.

The relationship between void ratio and porosity are as follows:

$\rm{e=\frac{n}{1-n}\; and\; n=\frac{e}{1+e}}$

Calculation:

η = Porosity = 0.5

From the above equation;

$e = \frac{n}{{1 - n}}$

$e = \frac{0.5}{{1 - 0.5}}$

e = 1