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Shrinkage limit of clay is 23% and its natural water content 32% decrease in volume of clay if moisture content of clay is reduced by 14% will be assume g=2.65?
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Shrinkage limit of clay is 23% and its natural water content 32% decre...
Calculation of Decrease in Volume of Clay


Given:


  • Shrinkage limit of clay = 23%

  • Natural water content of clay = 32%

  • Reduction in moisture content of clay = 14%

  • Specific gravity of clay (g) = 2.65



Calculation:

The volume of clay (V1) at natural water content can be calculated as:

V1 = (100 / (100 + w)) * M

Where,


  • w = natural water content of clay = 32%

  • M = mass of clay


Thus, V1 = (100 / (100 + 32)) * M = 0.735M


The volume of clay (V2) at reduced moisture content can be calculated as:

V2 = (100 / (100 + (w - r))) * M

Where,


  • r = reduction in moisture content of clay = 14%


Thus, V2 = (100 / (100 + (32 - 14))) * M = 0.642M


The decrease in volume of clay due to reduction in moisture content can be calculated as:

Decrease in volume = V1 - V2

Thus, Decrease in volume = 0.735M - 0.642M = 0.093M


The final volume of clay (V3) after reduction in moisture content can be calculated as:

V3 = V2 - (V2 * s)

Where,


  • s = shrinkage limit of clay = 23%


Thus, V3 = 0.642M - (0.642M * 0.23) = 0.494M


The percentage decrease in volume of clay can be calculated as:

Percentage decrease in volume = (Decrease in volume / V1) * 100

Thus, Percentage decrease in volume = (0.093M / 0.735M) * 100 = 12.65%


Answer:

The decrease in volume of clay due to reduction in moisture content by 14% will be 0.093M. The final volume of clay after reduction in moisture content will be 0.494M. The percentage decrease in volume of clay will be 12.65%.
Community Answer
Shrinkage limit of clay is 23% and its natural water content 32% decre...
9 % (32-23)
volume cannot be decrease beyond shrinkage limit even if water content lowers
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Shrinkage limit of clay is 23% and its natural water content 32% decrease in volume of clay if moisture content of clay is reduced by 14% will be assume g=2.65?
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