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Following is the data for 2 soil samples A and B. sample A : void ratio =1 ; total volume =1 cubic m Sample B : void ratio = 1.5 ; total volume = 1 cubic metre Two samples are mixed and compacted in a mould of vol 1 cubic m. Porosity of the soil is?
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Following is the data for 2 soil samples A and B. sample A : void rati...
Porosity of Mixed Soil Sample
Given:
- Void ratio of sample A = 1
- Total volume of sample A = 1 cubic metre
- Void ratio of sample B = 1.5
- Total volume of sample B = 1 cubic metre
- Mould volume = 1 cubic metre
Calculating the Volume of Solids in the Mixture
First, we need to calculate the volume of solids in the mixture. We can do this by using the formula:
Volume of solids = Total volume / (1 + void ratio)
For sample A:
Volume of solids in sample A = 1 / (1+1) = 0.5 cubic metres
For sample B:
Volume of solids in sample B = 1 / (1+1.5) = 0.4 cubic metres
Therefore, the total volume of solids in the mixture = 0.5 + 0.4 = 0.9 cubic metres
Calculating the Porosity of the Mixture
Now, we can calculate the porosity of the mixture using the formula:
Porosity = (Total volume - Volume of solids) / Total volume
Plugging in the values:
Porosity = (1 - 0.9) / 1 = 0.1 or 10%
Explanation
Porosity is a measure of the void space in a material. In this case, we are mixing two soil samples with different void ratios and volumes. The void ratio is the ratio of the volume of voids to the volume of solids in a material. Using the given data, we calculated the volume of solids in each sample and then added them together to find the total volume of solids in the mixture. Finally, we used the formula for porosity to calculate the percentage of void space in the mixture. A higher porosity indicates a greater amount of void space, which can affect the permeability and compressibility of the soil.
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Following is the data for 2 soil samples A and B. sample A : void ratio =1 ; total volume =1 cubic m Sample B : void ratio = 1.5 ; total volume = 1 cubic metre Two samples are mixed and compacted in a mould of vol 1 cubic m. Porosity of the soil is?
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