A soil sample is having a specific gravity of 2.60 and a void ratio o...
Using wG = Se, hence S= 1
w=0.78/2.6 = 0.3
Hence, the correct option is (B)
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A soil sample is having a specific gravity of 2.60 and a void ratio o...
Specific Gravity and Void Ratio
Specific gravity (G) is a measure of the density of a substance compared to the density of water. It is defined as the ratio of the density of the substance to the density of water at a specific temperature. In the case of soil, specific gravity represents the density of soil solids relative to water.
Void ratio (e) is a measure of the amount of void space or pores within a soil sample. It is defined as the ratio of the volume of voids to the volume of solids in the soil. Void ratio is an important parameter in geotechnical engineering as it affects the behavior and properties of soil, such as its compressibility, permeability, and shear strength.
Calculation of Water Content
To calculate the water content required to fully saturate the soil at a given void ratio, we can use the following equation:
e = (Gw * w) / (1 + w)
Where:
e = void ratio
Gw = specific gravity of water (assumed to be 1)
w = water content (expressed as a decimal, not a percentage)
In this case, the specific gravity of the soil sample is given as 2.60, and the void ratio is given as 0.78. We can substitute these values into the equation and solve for w:
0.78 = (2.60 * w) / (1 + w)
Simplifying the equation, we have:
0.78 + 0.78w = 2.60w
0.78 = 1.82w
w = 0.78 / 1.82
w ≈ 0.428 or 42.8%
Water Content in Percentage
The water content is generally expressed as a percentage. Therefore, to convert the water content from decimal form to percentage form, we multiply by 100:
Water content = 0.428 * 100
Water content ≈ 42.8%
Therefore, the water content required to fully saturate the soil at a void ratio of 0.78 is approximately 42.8%.