GATE CE 2026 Set 1 — Question 31
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Geotechnical Engineering → Permeability → Permeability of Soils
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Question
For a liquid, the permeability of a sandy soil having a void ratio of was determined as cm/s. Considering the same liquid and by using Taylor’s equation, the permeability (in cm/s) of this soil corresponding to the void ratio of is _____ (rounded off to two decimal places).
Correct answer
0.28 to 0.32
Solution
Taylor's equation for the permeability of soil is given by the Kozeny-Carman relationship:where is the permeability and is the void ratio.Given:
cm/s at
We need to find at .Taking the ratio:Rounding off to two decimal places, we get or . The official range is to .
cm/s at
We need to find at .Taking the ratio:Rounding off to two decimal places, we get or . The official range is to .
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