The value of the coefficient of permeability is 1.6 × m/sec or 1.6 × cm/sec.
Length = 6 cm
Area of cross-section = 50
Quantity of water = 500 ml
Time taken to flow = 15 mins = 15 × 60 secs = 900 secs
Constant Head = 40 cm
The value of the coefficient of permeability.
The formula to find the coefficient of permeability is given by,
⇒ q = k×i×A
q = Q/t and i = (H/L) on substituting for "q" and "i" in the above equation we get,
⇒ Q/t = k(H/L)A
rearranging the above equation in terms of "k" we get,
⇒k = (Q×L)/(A×t×H) → {equation 1}
Where "k" is the coefficient of permeability, "H" is the head constant, "A" is the area of cross-section, "L" is the length, "t" is the time taken to flow, and "Q" is the quantity of water.
On substituting the given values in equation 1 we get,
⇒ k = (500×6)/(50×900×40) {multiplying the terms}
⇒ k = 3000/18000 {dividing the terms}
⇒ k = 0.0016 = 1.6 × cm/sec or 1.6 × m/sec.
The value of the coefficient of permeability = 1.6 × m/sec or 1.6 × cm/sec
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