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A partially saturated soil sample is taken from a borrow pit and tested for its specific gravity, which is found to be 2.64. If the air content and water content of this sample is 20% and 26.5% respectively. Calculate the void ratio of the partially saturated soil sample when water content is 26.5% and change in the air content of the soil sample if the water content increased to 30%
Assume void ratio to be constant.
  • a)
    87.8% and 9.5%
  • b)
    46.7% and 10.5%
  • c)
    87.8% and 10.5%
  • d)
    50% and zero
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A partially saturated soil sample is taken from a borrow pit and teste...
Soil sample when water content is 26.5%:
Using the relation Se = wG
ac = 20%
ac + S = 100%
S = 100% - ac
S = 100% - 20%
S = 80%
w = 26.5%
0.80 × e = 0.265 × 2.65
e = 0.878
e = 87.8% (ans)
Soil sample when water content is 30%:
wI = 30%
G = 2.65
e = 0.878
SI e = Wi G
SI × 0.878 = × 2.65
SI = 0.905
SI = 90.5%
ac1+S= 100%
ac1 = (100 − 90.5)%
ac1+S= 100%
ac1 = (100 − 90.5)%
change in the air content = ac − acI
Δac = (20 – 9.5)%
Δac = 10.5% (Ans)
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Most Upvoted Answer
A partially saturated soil sample is taken from a borrow pit and teste...
Given data:
Specific gravity (Gs) = 2.64
Air content (A) = 20%
Water content (W) = 26.5%

Calculating the void ratio (e):
The void ratio (e) is defined as the ratio of the volume of voids to the volume of solids in a soil sample. It can be calculated using the following formula:
e = (Vv / Vs)

Where,
Vv = volume of voids in the soil sample
Vs = volume of solids in the soil sample

To determine the void ratio, we need to calculate the volume of voids and the volume of solids.

Calculating the volume of voids (Vv):
The volume of voids can be calculated using the following formula:
Vv = (1 - Gs / ρw) * Vw

Where,
Gs = specific gravity
ρw = density of water (assumed to be 1000 kg/m³)
Vw = volume of water in the soil sample

Given that the water content (W) is 26.5%, we can calculate the volume of water as follows:
Vw = W / 100 * Vs

Substituting the values:
Vw = 26.5 / 100 * Vs

Now, substituting the value of Vw in the formula for Vv:
Vv = (1 - Gs / ρw) * (26.5 / 100 * Vs)

Calculating the volume of solids (Vs):
The volume of solids can be calculated using the following formula:
Vs = Vw / (1 + W / 100) = Vw / (1 + 26.5 / 100) = Vw / 1.265

Calculating the void ratio (e):
Substituting the values of Vv and Vs in the formula for e:
e = Vv / Vs = [(1 - Gs / ρw) * (26.5 / 100 * Vs)] / Vs

Simplifying the expression:
e = (1 - Gs / ρw) * (26.5 / 100) / 1.265

Calculating the value of e using the given values:
e = (1 - 2.64 / 1000) * (26.5 / 100) / 1.265 ≈ 0.878

Therefore, the void ratio of the partially saturated soil sample when the water content is 26.5% is approximately 0.878.

Calculating the change in air content:
To calculate the change in air content, we need to determine the volume of air before and after the change in water content.

Calculating the volume of air before the change:
The volume of air before the change can be calculated using the following formula:
Va1 = (1 - A / 100) * Vs

Substituting the given value of A:
Va1 = (1 - 20 / 100) * Vs = 0.8 * Vs

Calculating the volume of air after the change:
The volume of air after the change can be calculated using the following formula:
Va2 = (1 - W / 100)
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A partially saturated soil sample is taken from a borrow pit and tested for its specific gravity, which is found to be 2.64. If the air content and water content of this sample is 20% and 26.5% respectively. Calculate the void ratio of the partially saturated soil sample when water content is 26.5% and change in the air content of the soil sample if the water content increased to 30%Assume void ratio to be constant.a)87.8% and 9.5%b)46.7% and 10.5%c)87.8% and 10.5%d)50% and zeroCorrect answer is option 'C'. Can you explain this answer?
Question Description
A partially saturated soil sample is taken from a borrow pit and tested for its specific gravity, which is found to be 2.64. If the air content and water content of this sample is 20% and 26.5% respectively. Calculate the void ratio of the partially saturated soil sample when water content is 26.5% and change in the air content of the soil sample if the water content increased to 30%Assume void ratio to be constant.a)87.8% and 9.5%b)46.7% and 10.5%c)87.8% and 10.5%d)50% and zeroCorrect answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A partially saturated soil sample is taken from a borrow pit and tested for its specific gravity, which is found to be 2.64. If the air content and water content of this sample is 20% and 26.5% respectively. Calculate the void ratio of the partially saturated soil sample when water content is 26.5% and change in the air content of the soil sample if the water content increased to 30%Assume void ratio to be constant.a)87.8% and 9.5%b)46.7% and 10.5%c)87.8% and 10.5%d)50% and zeroCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A partially saturated soil sample is taken from a borrow pit and tested for its specific gravity, which is found to be 2.64. If the air content and water content of this sample is 20% and 26.5% respectively. Calculate the void ratio of the partially saturated soil sample when water content is 26.5% and change in the air content of the soil sample if the water content increased to 30%Assume void ratio to be constant.a)87.8% and 9.5%b)46.7% and 10.5%c)87.8% and 10.5%d)50% and zeroCorrect answer is option 'C'. Can you explain this answer?.
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