✖Dry Density in Soil Mechanics is the ratio of mass of dry soil to its volume.ⓘ Dry Density in Soil Mechanics [ρ_ds]			+10% -10%
✖Void Ratio is the ratio of the volume of voids to the volume of solids.ⓘ Void Ratio [e]			+10% -10%
✖Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C).ⓘ Specific Gravity of Soil [G_s]			+10% -10%

✖Density of Water is the weight of the water per unit volume, which depends on the temperature of the water.ⓘ Density of Water given Dry Density and Void Ratio [ρ_w]

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Formula

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Density of Water given Dry Density and Void Ratio

Formula

`"ρ"_{"w"} = "ρ"_{"ds"}*(1+"e")/"G"_{"s"}`

Example

`"995.3962kg/m³"="1199kg/m³"*(1+"1.2")/"2.65"`

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Density of Water given Dry Density and Void Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Density of Water = Dry Density in Soil Mechanics*(1+Void Ratio)/Specific Gravity of Soil
ρ_w = ρ_ds*(1+e)/G_s
This formula uses 4 Variables

Variables Used

Density of Water - (Measured in Kilogram per Cubic Meter) - Density of Water is the weight of the water per unit volume, which depends on the temperature of the water.
Dry Density in Soil Mechanics - (Measured in Kilogram per Cubic Meter) - Dry Density in Soil Mechanics is the ratio of mass of dry soil to its volume.
Void Ratio - Void Ratio is the ratio of the volume of voids to the volume of solids.
Specific Gravity of Soil - Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C).

STEP 1: Convert Input(s) to Base Unit

Dry Density in Soil Mechanics: 1199 Kilogram per Cubic Meter --> 1199 Kilogram per Cubic Meter No Conversion Required
Void Ratio: 1.2 --> No Conversion Required
Specific Gravity of Soil: 2.65 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ_w = ρ_ds*(1+e)/G_s --> 1199*(1+1.2)/2.65

Evaluating ... ...

ρ_w = 995.396226415094

STEP 3: Convert Result to Output's Unit

995.396226415094 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

995.396226415094 ≈ 995.3962 Kilogram per Cubic Meter <-- Density of Water

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Geotechnical Engineering » Relationships of Weights and Volumes in Soils » Density of Soil » Density of Water given Dry Density and Void Ratio

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< 17 Density of Soil Calculators

Dry Density Given Void Ratio

Go Dry Density in Soil Mechanics = (Specific Gravity of Soil*Density of Water)/(1+Void Ratio)

Density of Water given Dry Density and Void Ratio

Go Density of Water = Dry Density in Soil Mechanics*(1+Void Ratio)/Specific Gravity of Soil

Submerged Weight of Soil given Submerged Unit Weight of Soil

Go Submerged Weight of Soil = Submerged Unit Weight in KN per Cubic Meter*Total Volume in Soil Mechanics

Total Volume given Submerged Unit Weight of Soil

Go Total Volume in Soil Mechanics = Submerged Weight of Soil/Submerged Unit Weight in KN per Cubic Meter

Submerged Unit Weight of Soil

Go Submerged Unit Weight in KN per Cubic Meter = Submerged Weight of Soil/Total Volume in Soil Mechanics

Saturated Unit Weight given Submerged Unit Weight

Go Saturated Unit Weight of Soil = Submerged Unit Weight in KN per Cubic Meter+Unit Weight of Water

Unit Weight of Water

Go Unit Weight of Water = Saturated Unit Weight of Soil-Submerged Unit Weight in KN per Cubic Meter

Weight of Solids given Unit Weight of Solids

Go Weight of Solids in Soil Mechanics in KN = Unit Weight of Solids*Total Volume in Soil Mechanics

Total Volume with respect to Saturated Unit Weight of Soil

Go Total Volume in Soil Mechanics = Saturated Weight of Soil in KN/Saturated Unit Weight of Soil

Total Volume of Soil given Dry Unit Weight

Go Total Volume in Soil Mechanics = Weight of Solids in Soil Mechanics in KN/Dry Unit Weight

Dry Density of Solids

Go Dry Density of Solids = Weight of Solids in Soil Mechanics/Volume of Solids in Soil

Dry Density of Soil

Go Dry Density = Weight of Solids in Soil Mechanics/Total Volume in Soil Mechanics

Mass of Saturated Sample given Saturated Density of Soil

Go Saturated Weight of Soil = Saturated Density*Total Volume in Soil Mechanics

Total Volume of Soil given Bulk Density of Soil

Go Total Volume in Soil Mechanics = Total Weight of Soil/Bulk Density of Soil

Total Mass of Soil given Bulk Density of Soil

Go Total Weight of Soil = Bulk Density of Soil*Total Volume in Soil Mechanics

Bulk Density of Soil

Go Bulk Density of Soil = Total Weight of Soil/Total Volume in Soil Mechanics

Saturated Density of Soil

Go Saturated Density = Mass of Saturated Soil/Total Volume in Soil Mechanics

Density of Water given Dry Density and Void Ratio Formula

Density of Water = Dry Density in Soil Mechanics*(1+Void Ratio)/Specific Gravity of Soil
ρ_w = ρ_ds*(1+e)/G_s

What is Dry Density?

It refers to the density of the soil, when it is taken in the dry state. The soil mass is commonly a mixture of air, water and soil solids. The dry density refers to the soil solids. It is otherwise called as dry unit weight of soil.

How to Calculate Density of Water given Dry Density and Void Ratio?

Density of Water given Dry Density and Void Ratio calculator uses Density of Water = Dry Density in Soil Mechanics*(1+Void Ratio)/Specific Gravity of Soil to calculate the Density of Water, The Density of Water given Dry Density and Void Ratio formula is defined as the mass per unit volume of the weight of water, which is 1 gram per centimeter cube. Density of Water is denoted by ρ_w symbol.

How to calculate Density of Water given Dry Density and Void Ratio using this online calculator? To use this online calculator for Density of Water given Dry Density and Void Ratio, enter Dry Density in Soil Mechanics (ρ_ds), Void Ratio (e) & Specific Gravity of Soil (G_s) and hit the calculate button. Here is how the Density of Water given Dry Density and Void Ratio calculation can be explained with given input values -> 995.3962 = 1199*(1+1.2)/2.65.

FAQ

What is Density of Water given Dry Density and Void Ratio?

The Density of Water given Dry Density and Void Ratio formula is defined as the mass per unit volume of the weight of water, which is 1 gram per centimeter cube and is represented as ρ_w = ρ_ds*(1+e)/G_s or Density of Water = Dry Density in Soil Mechanics*(1+Void Ratio)/Specific Gravity of Soil. Dry Density in Soil Mechanics is the ratio of mass of dry soil to its volume, Void Ratio is the ratio of the volume of voids to the volume of solids & Specific Gravity of Soil is defined as the ratio of the weight of a given volume of soil solids to the weight of an equal volume of water at a specified temperature (usually 4°C).

How to calculate Density of Water given Dry Density and Void Ratio?

The Density of Water given Dry Density and Void Ratio formula is defined as the mass per unit volume of the weight of water, which is 1 gram per centimeter cube is calculated using Density of Water = Dry Density in Soil Mechanics*(1+Void Ratio)/Specific Gravity of Soil. To calculate Density of Water given Dry Density and Void Ratio, you need Dry Density in Soil Mechanics (ρ_ds), Void Ratio (e) & Specific Gravity of Soil (G_s). With our tool, you need to enter the respective value for Dry Density in Soil Mechanics, Void Ratio & Specific Gravity of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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