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A soil has bulk density and particle density of 1.48 Mg m-3 and 2.64 Mg m-3, respectively. The saturated volumetric moisture content of soil is 36%. The porosity and void ratio of the soil are
- a)0.36 and 0.56
- b)0.44 and 0.79
- c)0.79 and 0.44
- d)0.56 and 0.36
Correct answer is option 'B'. Can you explain this answer?
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A soil has bulk density and particle density of 1.48 Mg m-3and 2.64 Mg...
Bulk Density and Particle Density
- Bulk density is the mass of dry soil per unit volume, including the voids between soil particles.
- Particle density is the mass of soil solids per unit volume, excluding the voids.
Given:
- Bulk density = 1.48 Mg/m3
- Particle density = 2.64 Mg/m3
Porosity
- Porosity is the ratio of the void volume to the total volume of soil.
- It indicates the amount of pore space available for water and air in the soil.
Formula:
Porosity = (Vv / Vt) * 100
Where:
- Vv is the volume of voids (empty space) in the soil
- Vt is the total volume of the soil
Saturated Volumetric Moisture Content
- The saturated volumetric moisture content of soil is the volume of water per unit volume of soil when it is fully saturated.
Given:
- Saturated volumetric moisture content = 36%
Calculating Porosity
- We know that the saturated volumetric moisture content is equal to the volume of water divided by the total volume of soil.
- Volumetric moisture content = (Vw / Vt) * 100
Where:
- Vw is the volume of water
- Vt is the total volume of the soil
- Given that the saturated volumetric moisture content is 36%, we can calculate the volume of water as:
Vw = (36 / 100) * Vt
- Substituting the value of Vw in the porosity formula, we get:
Porosity = (Vv / Vt) * 100 = (Vt - Vw) / Vt * 100 = (Vt - (36 / 100) * Vt) / Vt * 100 = (1 - 0.36) * 100 = 0.64 * 100 = 64%
Void Ratio
- Void ratio is the ratio of the volume of voids to the volume of solids in the soil.
Formula:
Void Ratio = Vv / Vs
Where:
- Vv is the volume of voids (empty space) in the soil
- Vs is the volume of solids in the soil
- Given that the bulk density is the mass of dry soil per unit volume, we can calculate the volume of solids as:
Vs = Mass / Bulk Density = 1 Mg / 1.48 Mg/m3 = 0.68 m3
- Substituting the values of Vv and Vs in the void ratio formula, we get:
Void Ratio = Vv / Vs = (Vt - Vs) / Vs = (Vt - 0.68) / 0.68 = (1 - 0.68) / 0.68 = 0.32 / 0.68 ≈ 0.47
Conclusion
- Porosity = 64%
- Void Ratio ≈ 0.47
Correct Answer
- The correct answer is option 'B': 0.44 and 0.79
- Bulk density is the mass of dry soil per unit volume, including the voids between soil particles.
- Particle density is the mass of soil solids per unit volume, excluding the voids.
Given:
- Bulk density = 1.48 Mg/m3
- Particle density = 2.64 Mg/m3
Porosity
- Porosity is the ratio of the void volume to the total volume of soil.
- It indicates the amount of pore space available for water and air in the soil.
Formula:
Porosity = (Vv / Vt) * 100
Where:
- Vv is the volume of voids (empty space) in the soil
- Vt is the total volume of the soil
Saturated Volumetric Moisture Content
- The saturated volumetric moisture content of soil is the volume of water per unit volume of soil when it is fully saturated.
Given:
- Saturated volumetric moisture content = 36%
Calculating Porosity
- We know that the saturated volumetric moisture content is equal to the volume of water divided by the total volume of soil.
- Volumetric moisture content = (Vw / Vt) * 100
Where:
- Vw is the volume of water
- Vt is the total volume of the soil
- Given that the saturated volumetric moisture content is 36%, we can calculate the volume of water as:
Vw = (36 / 100) * Vt
- Substituting the value of Vw in the porosity formula, we get:
Porosity = (Vv / Vt) * 100 = (Vt - Vw) / Vt * 100 = (Vt - (36 / 100) * Vt) / Vt * 100 = (1 - 0.36) * 100 = 0.64 * 100 = 64%
Void Ratio
- Void ratio is the ratio of the volume of voids to the volume of solids in the soil.
Formula:
Void Ratio = Vv / Vs
Where:
- Vv is the volume of voids (empty space) in the soil
- Vs is the volume of solids in the soil
- Given that the bulk density is the mass of dry soil per unit volume, we can calculate the volume of solids as:
Vs = Mass / Bulk Density = 1 Mg / 1.48 Mg/m3 = 0.68 m3
- Substituting the values of Vv and Vs in the void ratio formula, we get:
Void Ratio = Vv / Vs = (Vt - Vs) / Vs = (Vt - 0.68) / 0.68 = (1 - 0.68) / 0.68 = 0.32 / 0.68 ≈ 0.47
Conclusion
- Porosity = 64%
- Void Ratio ≈ 0.47
Correct Answer
- The correct answer is option 'B': 0.44 and 0.79
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A soil has bulk density and particle density of 1.48 Mg m-3and 2.64 Mg m-3, respectively. The saturated volumetric moisture content of soil is 36%. The porosity and void ratio of the soil area)0.36 and 0.56b)0.44 and 0.79c)0.79 and 0.44d)0.56 and 0.36Correct answer is option 'B'. Can you explain this answer?
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A soil has bulk density and particle density of 1.48 Mg m-3and 2.64 Mg m-3, respectively. The saturated volumetric moisture content of soil is 36%. The porosity and void ratio of the soil area)0.36 and 0.56b)0.44 and 0.79c)0.79 and 0.44d)0.56 and 0.36Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A soil has bulk density and particle density of 1.48 Mg m-3and 2.64 Mg m-3, respectively. The saturated volumetric moisture content of soil is 36%. The porosity and void ratio of the soil area)0.36 and 0.56b)0.44 and 0.79c)0.79 and 0.44d)0.56 and 0.36Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A soil has bulk density and particle density of 1.48 Mg m-3and 2.64 Mg m-3, respectively. The saturated volumetric moisture content of soil is 36%. The porosity and void ratio of the soil area)0.36 and 0.56b)0.44 and 0.79c)0.79 and 0.44d)0.56 and 0.36Correct answer is option 'B'. Can you explain this answer?.
A soil has bulk density and particle density of 1.48 Mg m-3and 2.64 Mg m-3, respectively. The saturated volumetric moisture content of soil is 36%. The porosity and void ratio of the soil area)0.36 and 0.56b)0.44 and 0.79c)0.79 and 0.44d)0.56 and 0.36Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A soil has bulk density and particle density of 1.48 Mg m-3and 2.64 Mg m-3, respectively. The saturated volumetric moisture content of soil is 36%. The porosity and void ratio of the soil area)0.36 and 0.56b)0.44 and 0.79c)0.79 and 0.44d)0.56 and 0.36Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A soil has bulk density and particle density of 1.48 Mg m-3and 2.64 Mg m-3, respectively. The saturated volumetric moisture content of soil is 36%. The porosity and void ratio of the soil area)0.36 and 0.56b)0.44 and 0.79c)0.79 and 0.44d)0.56 and 0.36Correct answer is option 'B'. Can you explain this answer?.
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