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The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying?
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The moisture content of a soil is 35% and the relative density 'G' of ...
Given:
Moisture content of soil (w) = 35%
Relative density of particles (G) = 2.7
To find:
Void ratio (e)
Porosity (n)
Degree of saturation
Air content
Solution:
1. Void ratio (e):
The void ratio of a soil is the ratio of the volume of voids (empty spaces) to the volume of solids.
The formula to calculate void ratio is:
e = Vv / Vs
Where,
Vv = Volume of voids
Vs = Volume of solids
Since we do not have the values of Vv and Vs, we need to find them using the given information.
Given,
Moisture content (w) = 35%
The moisture content is defined as the ratio of the mass of water to the mass of solids in a soil sample.
The formula to calculate moisture content is:
w = (mass of water / mass of solids) * 100
Let's assume the mass of solids as 100 units for simplicity. Therefore, the mass of water will be 35 units.
So, the mass of solids = 100 units
The mass of water = 35 units
Now, we can calculate the volume of solids using the relative density (G).
The formula to calculate volume of solids is:
Vs = mass of solids / density of solids
The density of solids is assumed to be 1 g/cm³ for simplicity.
So, the volume of solids = 100 units / 1 g/cm³ = 100 cm³
Now, we can calculate the volume of voids (Vv).
The formula to calculate volume of voids is:
Vv = Vs * e
Since we need to find e, let's assume a value for e (say 0.5) and calculate Vv.
Vv = 100 cm³ * 0.5 = 50 cm³
Now, we can calculate the actual void ratio (e) using the calculated Vv and Vs.
e = Vv / Vs = 50 cm³ / 100 cm³ = 0.5
Therefore, the void ratio (e) of the soil is 0.5.
2. Porosity (n):
The porosity of a soil is the ratio of the volume of voids to the total volume of the soil.
The formula to calculate porosity is:
n = Vv / Vt
Where,
Vv = Volume of voids
Vt = Total volume of soil
Since we do not have the value of Vt, we need to find it using the given information.
The total volume of soil can be calculated as the sum of the volume of solids (Vs) and the volume of voids (Vv).
Vt = Vs + Vv
Using the previously calculated values,
Vt = 100 cm³ + 50 cm³ = 150 cm³
Now, we can calculate the porosity (n) using the calculated Vv and Vt.
n = Vv / Vt = 50 cm³ / 150 cm³ = 0.333
Therefore, the porosity (n) of the soil is 0.333.
3. Degree of Saturation:
The degree of saturation is the ratio of the volume of water to the
Moisture content of soil (w) = 35%
Relative density of particles (G) = 2.7
To find:
Void ratio (e)
Porosity (n)
Degree of saturation
Air content
Solution:
1. Void ratio (e):
The void ratio of a soil is the ratio of the volume of voids (empty spaces) to the volume of solids.
The formula to calculate void ratio is:
e = Vv / Vs
Where,
Vv = Volume of voids
Vs = Volume of solids
Since we do not have the values of Vv and Vs, we need to find them using the given information.
Given,
Moisture content (w) = 35%
The moisture content is defined as the ratio of the mass of water to the mass of solids in a soil sample.
The formula to calculate moisture content is:
w = (mass of water / mass of solids) * 100
Let's assume the mass of solids as 100 units for simplicity. Therefore, the mass of water will be 35 units.
So, the mass of solids = 100 units
The mass of water = 35 units
Now, we can calculate the volume of solids using the relative density (G).
The formula to calculate volume of solids is:
Vs = mass of solids / density of solids
The density of solids is assumed to be 1 g/cm³ for simplicity.
So, the volume of solids = 100 units / 1 g/cm³ = 100 cm³
Now, we can calculate the volume of voids (Vv).
The formula to calculate volume of voids is:
Vv = Vs * e
Since we need to find e, let's assume a value for e (say 0.5) and calculate Vv.
Vv = 100 cm³ * 0.5 = 50 cm³
Now, we can calculate the actual void ratio (e) using the calculated Vv and Vs.
e = Vv / Vs = 50 cm³ / 100 cm³ = 0.5
Therefore, the void ratio (e) of the soil is 0.5.
2. Porosity (n):
The porosity of a soil is the ratio of the volume of voids to the total volume of the soil.
The formula to calculate porosity is:
n = Vv / Vt
Where,
Vv = Volume of voids
Vt = Total volume of soil
Since we do not have the value of Vt, we need to find it using the given information.
The total volume of soil can be calculated as the sum of the volume of solids (Vs) and the volume of voids (Vv).
Vt = Vs + Vv
Using the previously calculated values,
Vt = 100 cm³ + 50 cm³ = 150 cm³
Now, we can calculate the porosity (n) using the calculated Vv and Vt.
n = Vv / Vt = 50 cm³ / 150 cm³ = 0.333
Therefore, the porosity (n) of the soil is 0.333.
3. Degree of Saturation:
The degree of saturation is the ratio of the volume of water to the
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The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying?
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The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying?.
The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying?.
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The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying?, a detailed solution for The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying? has been provided alongside types of The moisture content of a soil is 35% and the relative density 'G' of its particle is 2.7. Find the void ratio 'e' and the porosity 'n' of the soil. What will be the degree of saturation and the air content, if moisture content of the soil reduces to 5% on drying? theory, EduRev gives you an
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