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A fully saturated soil has a water content of 200%. If G = 2.6, the void ratio is-
- a)1.3
- b)2.6
- c)5.2
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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A fully saturated soil has a water content of 200%. If G = 2.6, the v...
Using wG = Se, here S = 1
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e = 2 × 2.6 = 5.2
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A fully saturated soil has a water content of 200%. If G = 2.6, the v...
Explanation:
To understand this problem, we need to know the definitions of water content, void ratio, and saturation.
The water content is defined as the ratio of the volume of water to the volume of solids in a soil sample. It is usually expressed as a percentage.
The void ratio is defined as the ratio of the volume of voids (empty spaces) to the volume of solids in a soil sample. It is a measure of how much of the soil volume is occupied by voids.
Saturation refers to the state of a soil sample when all the voids are completely filled with water.
Given:
Water content = 200%
G = 2.6
Calculating the void ratio:
The void ratio can be calculated using the formula:
e = G / (1 + G)
Substituting the given value of G:
e = 2.6 / (1 + 2.6)
e ≈ 2.6 / 3.6
e ≈ 0.722
Calculating the saturation:
Saturated soil has a water content equal to the void ratio.
Water content = 200%
Void ratio ≈ 0.722
Since the water content is higher than the void ratio, the soil is not fully saturated.
Conclusion:
Since the soil is not fully saturated, the given void ratio of 0.722 does not correspond to a fully saturated soil. Therefore, none of the options provided (a) 1.3, (b) 2.6, or (c) 5.2 is correct.
The correct answer is (d) None of these.
To understand this problem, we need to know the definitions of water content, void ratio, and saturation.
The water content is defined as the ratio of the volume of water to the volume of solids in a soil sample. It is usually expressed as a percentage.
The void ratio is defined as the ratio of the volume of voids (empty spaces) to the volume of solids in a soil sample. It is a measure of how much of the soil volume is occupied by voids.
Saturation refers to the state of a soil sample when all the voids are completely filled with water.
Given:
Water content = 200%
G = 2.6
Calculating the void ratio:
The void ratio can be calculated using the formula:
e = G / (1 + G)
Substituting the given value of G:
e = 2.6 / (1 + 2.6)
e ≈ 2.6 / 3.6
e ≈ 0.722
Calculating the saturation:
Saturated soil has a water content equal to the void ratio.
Water content = 200%
Void ratio ≈ 0.722
Since the water content is higher than the void ratio, the soil is not fully saturated.
Conclusion:
Since the soil is not fully saturated, the given void ratio of 0.722 does not correspond to a fully saturated soil. Therefore, none of the options provided (a) 1.3, (b) 2.6, or (c) 5.2 is correct.
The correct answer is (d) None of these.
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A fully saturated soil has a water content of 200%. If G = 2.6, the void ratio is-a)1.3b)2.6c)5.2d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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