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Answer :
The permeability of the soil is 39.5 cm/hr.
Given parameters are:
length of the soil, l = 250 mm
diameter of the soil, D = 25 mm
time taken to collect water, t = 110 seconds
head of water, h = 65 cm
Mass of water collected, m = 14 grams
Formula used:
q = (2.303 * V * h) / t
where
q = discharge of water in cm3/s
V = Volume of the soil in cm3
t = time taken to collect the water in s.
h = head of the water in cm
Now, let's find the volume of the soil,
V = (π/4) * D² * l
v = (3.14/4) * (25)² * 250
v = 153125 cm³.
Put these values in the formula to find q
q = (2.303 * V * h) / t
q = (2.303 * 153125 * 65) / 110
q = 8519.7 cm³/s
Convert the value of q into cm/hr
q = q * 3600 / 1000
q = 8519.7 * 3600 / 1000
q = 30670.92 cm/hr
Therefore, the permeability of the soil is 39.5 cm/hr.
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