A soil sample has a void ratio of 0.5; its porosity will be

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A soil sample has a void ratio of 0.5; its porosity will be
1. 50%
2. 66%
3. 100%
4. 33%

by (41.0k points)
selected

Correct Answer - Option 4 : 33%

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:

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

Solution:

Void, Ratio, e = 0.5

Porosity, $n=\frac{e}{1+e}$

η = 0.5/1.5 = 0.33
The text passage contains a multiple-choice question about the porosity of a soil sample given its void ratio, along with the correct answer and a detailed explanation of the concept and solution.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
A soil sample has a void ratio of 0.5; its porosity will be

42 views
in General
closed
A soil sample has a void ratio of 0.5; its porosity will be
1. 50%
2. 66%
3. 100%
4. 33%

by (41.0k points)
selected

Correct Answer - Option 4 : 33%

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:

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

Solution:

Void, Ratio, e = 0.5

Porosity, $n=\frac{e}{1+e}$

η = 0.5/1.5 = 0.33
user
The text passage contains a multiple-choice question about the porosity of a soil sample given its void ratio, along with the correct answer and a detailed explanation of the concept and solution.

TYPE: SINGLE_QUESTION_WITH_ANSWER