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A soil sample has porosity of 20 % and its void ratio will be close to
2
8
1
25
25
D is correct because by substituting the porosity value of 0.2 into the conversion formula, we obtain a void ratio of 0.25.
Porosity (n) = 20% = 0.20
e=1тИТnnтАЛ
Identify given parameters
The porosity n is given as 20%, which in decimal form is n=0.20.
n=0.20
State the relationship formula
The relationship between void ratio e and porosity n is given by the formula e=1тИТnnтАЛ.
e=1тИТnnтАЛ
Substitute and solve
Substituting n=0.20 into the formula, we get e=1тИТ0.200.20тАЛ=0.800.20тАЛ.
e=0.800.20тАЛ=0.25
D is correct because by substituting the porosity value of 0.2 into the conversion formula, we obtain a void ratio of 0.25.
Understanding the relationship between porosity and void ratio is foundational for calculating degree of saturation and unit weight of soils in later geotechnical chapters.
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