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A permeability test is conducted on a soil with a length of 250 mm and diameter of 25 mm. Under constant head of 65 cm the mass of water collected in 110 seconds is 14 grams. What is the permeability of the oil in cm/hr ? A. 35.9 B. 0.01 C. 105 D. 39.5

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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Rewritten by : Jeany