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Assuming that the interstices in a clay are of size equal to one tenth the mean diameter of the grain, estimate the height to which the water will rise in a clay soil of average grain diameter 0.05mm. Assume surface tension at air-water interference is 0.073 N/m.?
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Assuming that the interstices in a clay are of size equal to one tenth...
Problem: Estimate the height to which the water will rise in a clay soil of average grain diameter 0.05mm, assuming that the interstices in a clay are of size equal to one tenth the mean diameter of the grain. Assume surface tension at air-water interference is 0.073 N/m.

Solution:

Given:
- Average grain diameter of clay soil = 0.05 mm
- Interstices in clay soil = 1/10th of the mean diameter of the grain
- Surface tension at air-water interface = 0.073 N/m

Formula:
h = (2Tcosθ)/(Rρg)

where,
h = height of water rise
T = surface tension
θ = contact angle
R = radius of the capillary tube
ρ = density of water
g = acceleration due to gravity

Calculation:
- Mean diameter of the grain = 0.05 mm
- Interstices in clay soil = 1/10th of the mean diameter of the grain = 0.005 mm
- Radius of the capillary tube = 0.005/2 = 0.0025 mm
- Contact angle for water on clay = 0° (assumed)
- Density of water = 1000 kg/m³
- Acceleration due to gravity = 9.81 m/s²
- Surface tension at air-water interface = 0.073 N/m

Substituting the values in the formula, we get:

h = (2 x 0.073 x cos0°)/(0.0025 x 1000 x 9.81) = 0.00588 m or 5.88 mm

Answer: The water will rise to a height of 5.88 mm in the clay soil.
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Assuming that the interstices in a clay are of size equal to one tenth the mean diameter of the grain, estimate the height to which the water will rise in a clay soil of average grain diameter 0.05mm. Assume surface tension at air-water interference is 0.073 N/m.?
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Assuming that the interstices in a clay are of size equal to one tenth the mean diameter of the grain, estimate the height to which the water will rise in a clay soil of average grain diameter 0.05mm. Assume surface tension at air-water interference is 0.073 N/m.? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Assuming that the interstices in a clay are of size equal to one tenth the mean diameter of the grain, estimate the height to which the water will rise in a clay soil of average grain diameter 0.05mm. Assume surface tension at air-water interference is 0.073 N/m.? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assuming that the interstices in a clay are of size equal to one tenth the mean diameter of the grain, estimate the height to which the water will rise in a clay soil of average grain diameter 0.05mm. Assume surface tension at air-water interference is 0.073 N/m.?.
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