GATE CE 2016 Set 1 — Question 50
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Geotechnical Engineering → Soil Phase & Index Properties → Degree of Saturation
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Question
The porosity () and the degree of saturation () of a soil sample are 0.7 and 40%, respectively. In a 100 m volume of the soil, the volume (expressed in m) of air is _________
Correct answer
41 to 43
Solution
Given data:
Porosity () = 0.7
Degree of saturation () = 40% = 0.4
Total volume of soil () = 100 mStep 1: Calculate the volume of voids ().
Porosity is defined as the ratio of the volume of voids to the total volume:
Step 2: Calculate the volume of water ().
Degree of saturation is defined as the ratio of the volume of water to the volume of voids:
Step 3: Calculate the volume of air ().
The volume of voids is the sum of the volume of air and the volume of water:
Thus, the volume of air is 42 m.
Porosity () = 0.7
Degree of saturation () = 40% = 0.4
Total volume of soil () = 100 mStep 1: Calculate the volume of voids ().
Porosity is defined as the ratio of the volume of voids to the total volume:
Step 2: Calculate the volume of water ().
Degree of saturation is defined as the ratio of the volume of water to the volume of voids:
Step 3: Calculate the volume of air ().
The volume of voids is the sum of the volume of air and the volume of water:
Thus, the volume of air is 42 m.
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