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Water is flowing under constant head of 40cm in a soil sample 20cm long and 10cm2 in sectional area. Quantity of flow in 4 minutes is 30cm3. Find K.

  • A.\(2.75 \times 10^{-1}\) cm/min
  • B.\(1.75 \times 10^{-1}\) cm/min
  • C.\(3.75 \times 10^{-1}\) cm/min
  • D.\(4.75 \times 10^{-1}\) cm/min

Answer: C

The coefficient of permeability is \(3.75 \times 10^{-1}\) cm/min.

For a constant head test, Darcy's law gives \(K = \frac{QL}{Aht}\).

\[ \begin{aligned} K &= \frac{30 \times 20}{10 \times 40 \times 4} \\ &= \frac{600}{1600} = 0.375\ \text{cm/min} \end{aligned} \]

That is \(3.75 \times 10^{-1}\) cm/min. The other options differ only in the leading digit and come from arithmetic slips in the same formula.

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