text: 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
explanation: The document contains a math question related to soil mechanics, specifically about calculating the porosity of a soil sample given its void ratio. The document also includes the correct answer to the question, which is 33%.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 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
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math question related to soil mechanics, specifically about calculating the porosity of a soil sample given its void ratio. The document also includes the correct answer to the question, which is 33%.
  
  Label: question-and-answer