Porosity Calculation with Cubic Packing Example
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Questions and Answers

What is the porosity in the cubic packing example?

  • 50%
  • 29%
  • 10.8% (correct)
  • 2%
  • What happens when medium grains are put in the pore spaces of big grains in cubic packing?

  • Porosity increases
  • No effect on porosity
  • Porosity decreases (correct)
  • Porosity remains the same
  • What effect does putting tiny grains in the pore space of medium grains have on porosity in cubic packing?

  • Increases porosity (correct)
  • Maintains porosity
  • No effect on porosity
  • Decreases porosity
  • How does grain size distribution affect porosity in cubic packing?

    <p>Decreases porosity</p> Signup and view all the answers

    In cubic packing, what happens to the porosity as more tiny grains are added?

    <p>Porosity increases</p> Signup and view all the answers

    What is the relationship between porosity and grain size distribution according to the text?

    <p>Porosity is directly proportional to grain size distribution</p> Signup and view all the answers

    In the example of cubic packing provided in the text, where are the medium grains placed?

    <p>In the pore spaces of big grains</p> Signup and view all the answers

    What happens when the tiny grains are placed in the pore space of the medium grains in cubic packing?

    <p>Porosity increases</p> Signup and view all the answers

    Using cubic packing with big, medium, and tiny grains, what is the calculated porosity percentage?

    <p>91%</p> Signup and view all the answers

    What does $47.6% * 47.6% * 47.6%$ represent in the context of porosity?

    <p>$47.6%$ total porosity</p> Signup and view all the answers

    Study Notes

    Porosity in Cubic Packing

    • Porosity is the measure of void spaces in a material, indicated in cubic packing arrangements.
    • Different grain sizes can significantly affect the overall porosity of the packing structure.

    Effects of Grain Size in Pore Spaces

    • Inserting medium grains into the pore spaces of larger grains reduces the overall void space, potentially decreasing porosity.
    • When tiny grains are placed in the pore spaces of medium grains, they fill smaller voids, further compacting the arrangement and reducing porosity.

    Grain Size Distribution and Porosity

    • Grain size distribution plays a crucial role in determining porosity; well-distributed sizes fill voids more effectively than similar-sized particles.
    • As tiny grains are added to the cubic packing, they occupy existing pore spaces, leading to a decrease in overall porosity.

    Placement and Impact of Grains

    • Medium grains are typically placed in the pore spaces of large grains, optimizing packing efficiency.
    • When tiny grains are introduced into the pore spaces of medium grains, it results in tighter packing and a notable reduction in porosity.

    Calculated Porosity Percentage

    • Using a combination of big, medium, and tiny grains in cubic packing leads to a calculated porosity percentage that quantifies the effectiveness of filling voids.

    Mathematical Representation of Porosity

    • The expression $47.6% * 47.6% * 47.6%$ indicates the multiplicative effect of grain sizes on the overall porosity, showcasing the compound nature of void spaces filled by varying grain sizes.

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    Description

    Test your understanding of porosity calculations with a cubic packing example. Learn how different grain sizes affect porosity using the given scenario. Calculate the porosity value based on the provided information.

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