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Percentage of air voids when dry unit weight in terms of percentage of air voids is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
percentage_of_air_voids = 1-(Dry unit weight of soil*(1+water content*Specific gravity of the soil)/Specific gravity of the soil*Unit weight of water)
na = 1-(γd*(1+w*Gs)/Gs*γw)
This formula uses 4 Variables
Variables Used
Dry unit weight of soil - The dry unit weight of soil is the weight of soil solids per unit of total volume of soil mass. (Measured in Kilonewton per Cubic Meter)
water content- Water content is the ratio of the weight of water to the weight of solids present in the soil.
Specific gravity of the soil- Specific gravity of the soil is an important property of soil being related to density.
Unit weight of water - Unit weight of water is the weight of watet per unit volume of a water. (Measured in Kilonewton per Cubic Meter)
STEP 1: Convert Input(s) to Base Unit
Dry unit weight of soil: 100 Kilonewton per Cubic Meter --> 0.1 Newton per Cubic Meter (Check conversion here)
water content: 1 --> No Conversion Required
Specific gravity of the soil: 2.65 --> No Conversion Required
Unit weight of water: 9.807 Kilonewton per Cubic Meter --> 0.009807 Newton per Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
na = 1-(γd*(1+w*Gs)/Gs*γw) --> 1-(0.1*(1+1*2.65)/2.65*0.009807)
Evaluating ... ...
na = 0.998649224528302
STEP 3: Convert Result to Output's Unit
0.998649224528302 --> No Conversion Required
FINAL ANSWER
0.998649224528302 <-- percentage of air voids
(Calculation completed in 00.007 seconds)

10+ Relationships of Weights and Volumes in Soils Calculators

Saturated Unit Weight of Soil with Saturation 100 Percent
saturated_unit_weight = (((Specific gravity of the soil*Unit weight of water)+(Void ratio*Unit weight of water))/(1+Void ratio)) Go
Saturated Unit Weight of Soil when Water Content is Given
saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio)) Go
Unit Weight of Water when Saturated Unit Weight is Given
unit_weight_of_water = (Saturated unit weight*(1+Void ratio)/((1+Water content)*Specific gravity of the soil)) Go
Unit Weight of Water when Saturated Unit Weight and Void Ratio is Given
unit_weight_of_water = (Saturated unit weight*(1+Void ratio)/(Specific gravity of the soil+Void ratio)) Go
Dry Unit Weight of Soil when Saturation is 0 Percent
dry_unit_weight_of_soil = ((Specific gravity of the soil*Unit weight of water)/(1+Void ratio)) Go
Unit Weight of Water when Buoyant Unit Weight is Given
unit_weight_of_water = (Buoyant unit weight*(1+Void ratio)/(Specific gravity of the soil-1)) Go
Unit Weight of Water when Dry Unit Weight is Given
unit_weight_of_water = (Dry unit weight of soil*(1+Void ratio)/Specific gravity of the soil) Go
Total weight of sample with respect to water content
total_weight = (water content*weight of solids/100)+weight of solids Go
Total mass of soil when water content of soil with respect to its mass is given
total_mass = (water content*Mass of solids/100)+Mass of solids Go
Dry mass of soil when water content of soil with respect to its mass is given
mass_of_solids = (Total mass of sand*100)/(water content+100) Go

Percentage of air voids when dry unit weight in terms of percentage of air voids is given Formula

percentage_of_air_voids = 1-(Dry unit weight of soil*(1+water content*Specific gravity of the soil)/Specific gravity of the soil*Unit weight of water)
na = 1-(γd*(1+w*Gs)/Gs*γw)

What is dry unit weight of soil?

Dry unit weight, which is the unit weight of a soil when all void spaces of the soil are completely filled with air, with no water.

How to Calculate Percentage of air voids when dry unit weight in terms of percentage of air voids is given?

Percentage of air voids when dry unit weight in terms of percentage of air voids is given calculator uses percentage_of_air_voids = 1-(Dry unit weight of soil*(1+water content*Specific gravity of the soil)/Specific gravity of the soil*Unit weight of water) to calculate the percentage of air voids, The Percentage of air voids when dry unit weight in terms of percentage of air voids is given is obtained by dividing the volume of air to the total volume. This is expressed in percentage. When the soil is fully saturated, the percentage of air voids is equal to zero. percentage of air voids and is denoted by na symbol.

How to calculate Percentage of air voids when dry unit weight in terms of percentage of air voids is given using this online calculator? To use this online calculator for Percentage of air voids when dry unit weight in terms of percentage of air voids is given, enter Dry unit weight of soil d), water content (w), Specific gravity of the soil (Gs) and Unit weight of water w) and hit the calculate button. Here is how the Percentage of air voids when dry unit weight in terms of percentage of air voids is given calculation can be explained with given input values -> 0.998649 = 1-(0.1*(1+1*2.65)/2.65*0.009807).

FAQ

What is Percentage of air voids when dry unit weight in terms of percentage of air voids is given?
The Percentage of air voids when dry unit weight in terms of percentage of air voids is given is obtained by dividing the volume of air to the total volume. This is expressed in percentage. When the soil is fully saturated, the percentage of air voids is equal to zero and is represented as na = 1-(γd*(1+w*Gs)/Gs*γw) or percentage_of_air_voids = 1-(Dry unit weight of soil*(1+water content*Specific gravity of the soil)/Specific gravity of the soil*Unit weight of water). The dry unit weight of soil is the weight of soil solids per unit of total volume of soil mass, Water content is the ratio of the weight of water to the weight of solids present in the soil, Specific gravity of the soil is an important property of soil being related to density and Unit weight of water is the weight of watet per unit volume of a water.
How to calculate Percentage of air voids when dry unit weight in terms of percentage of air voids is given?
The Percentage of air voids when dry unit weight in terms of percentage of air voids is given is obtained by dividing the volume of air to the total volume. This is expressed in percentage. When the soil is fully saturated, the percentage of air voids is equal to zero is calculated using percentage_of_air_voids = 1-(Dry unit weight of soil*(1+water content*Specific gravity of the soil)/Specific gravity of the soil*Unit weight of water). To calculate Percentage of air voids when dry unit weight in terms of percentage of air voids is given, you need Dry unit weight of soil d), water content (w), Specific gravity of the soil (Gs) and Unit weight of water w). With our tool, you need to enter the respective value for Dry unit weight of soil, water content, Specific gravity of the soil and Unit weight of water and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate percentage of air voids?
In this formula, percentage of air voids uses Dry unit weight of soil, water content, Specific gravity of the soil and Unit weight of water. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • unit_weight_of_water = (Saturated unit weight*(1+Void ratio)/((1+Water content)*Specific gravity of the soil))
  • unit_weight_of_water = (Saturated unit weight*(1+Void ratio)/(Specific gravity of the soil+Void ratio))
  • unit_weight_of_water = (Dry unit weight of soil*(1+Void ratio)/Specific gravity of the soil)
  • unit_weight_of_water = (Buoyant unit weight*(1+Void ratio)/(Specific gravity of the soil-1))
  • saturated_unit_weight = (((Specific gravity of the soil*Unit weight of water)+(Void ratio*Unit weight of water))/(1+Void ratio))
  • saturated_unit_weight = (((1+Water content)*Specific gravity of the soil*Unit weight of water)/(1+Void ratio))
  • dry_unit_weight_of_soil = ((Specific gravity of the soil*Unit weight of water)/(1+Void ratio))
  • total_weight = (water content*weight of solids/100)+weight of solids
  • total_mass = (water content*Mass of solids/100)+Mass of solids
  • mass_of_solids = (Total mass of sand*100)/(water content+100)
Where is the Percentage of air voids when dry unit weight in terms of percentage of air voids is given calculator used?
Among many, Percentage of air voids when dry unit weight in terms of percentage of air voids is given calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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