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A soil sample has a porosity of 40 percent, its void ratio is
  • a)
    0.06
  • b)
    0.28
  • c)
    0.40
  • d)
    0.66
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A soil sample has a porosity of 40 percent, its void ratio isa)0.06b)0...
Given:
Porosity, η = 40%
Void, Ratio, e = 
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A soil sample has a porosity of 40 percent, its void ratio isa)0.06b)0...
Porosity and Void Ratio:
Porosity and void ratio are two important properties of soil that describe the amount of void spaces or gaps present in a given volume of soil. These properties help in understanding the soil's ability to hold and transmit water and other fluids.

Porosity:
Porosity is defined as the ratio of the volume of void spaces to the total volume of soil. It is expressed as a percentage. In this case, the soil sample has a porosity of 40 percent. This means that 40 percent of the total volume of the soil sample is occupied by void spaces.

Void Ratio:
Void ratio is defined as the ratio of the volume of void spaces to the volume of solids in a given soil sample. It is denoted by the symbol 'e'. Mathematically, void ratio is calculated as:

Void Ratio (e) = Volume of Void Spaces (Vv) / Volume of Solids (Vs)

Calculating Void Ratio:
To find the void ratio, we need to know the volume of void spaces and the volume of solids in the soil sample.

Given that the porosity is 40 percent (0.40), we can use the following equation to calculate the void ratio:

Void Ratio (e) = Porosity (n) / (1 - Porosity (n))

Substituting the given value of porosity (n = 0.40) into the equation, we get:

Void Ratio (e) = 0.40 / (1 - 0.40) = 0.40 / 0.60 = 2/3 = 0.66

Answer:
Therefore, the correct answer is option 'D', which states that the void ratio of the soil sample is 0.66.
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A soil sample has a porosity of 40 percent, its void ratio isa)0.06b)0.28c)0.40d)0.66Correct answer is option 'D'. Can you explain this answer?
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