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In wet soil mass, air occupies one-sixth of its volume and water occupies one – third of its volume. The void ratio of the soil is
  • a)
    0.25
  • b)
    0.5
  • c)
    1.00
  • d)
    1.50
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In wet soil mass, air occupies one-sixth of its volume and water occup...
Void ratio, e = Vv/Vs


Vv = air void + water filled voids

Calculation:

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Most Upvoted Answer
In wet soil mass, air occupies one-sixth of its volume and water occup...
Let's assume the initial volume of the wet soil mass is V.

Given:
- The air occupies 1/6 of the volume, which means the volume of air (Va) is (1/6)*V.
- The water occupies 1/3 of the volume, which means the volume of water (Vw) is (1/3)*V.

We need to find the void ratio of the soil, which is the ratio of the volume of voids (Vv) to the volume of solids (Vs) in the soil mass.

1. Finding the volume of solids:
The volume of solids is the remaining volume after deducting the volume of air and water from the total volume of the wet soil mass.
Vs = V - Va - Vw

2. Finding the volume of voids:
The volume of voids is the difference between the total volume of the wet soil mass and the volume of solids.
Vv = V - Vs

3. Calculating the void ratio:
The void ratio (e) is the ratio of the volume of voids to the volume of solids.
e = Vv / Vs

Now, let's substitute the values we have:

Vs = V - Va - Vw
= V - (1/6)*V - (1/3)*V
= V - (1/6 + 1/3)*V
= V - (1/6 + 2/6)*V
= V - (3/6)*V
= V - (1/2)*V
= (1/2)*V

Vv = V - Vs
= V - (1/2)*V
= (1/2)*V

e = Vv / Vs
= ((1/2)*V) / ((1/2)*V)
= 1

Therefore, the void ratio of the soil is 1.00, which corresponds to option C.
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