Aquifer Water Extraction Calculation

This solution details the calculation for determining the amount of water extractable from a saturated sand aquifer based on its dimensions and specific yield.

Determine Aquifer Volume

First, calculate the total volume of the saturated portion of the aquifer.

1. Calculate the cross-sectional area:

   Area = Width $\times$ Length = $0.2 \, \text{m} \times 5 \, \text{m} = 1.0 \, \text{m}^2$

2. Calculate the total saturated volume:

   Volume = Area $\times$ Depth = $1.0 \, \text{m}^2 \times 3 \, \text{m} = 3.0 \, \text{m}^3$

Calculate Extractable Water

Next, use the specific yield to find the volume of water that can be extracted.

1. Convert the specific yield percentage to a decimal:

   Specific Yield ($S_y$) = 25% = 0.25

2. Calculate the extractable water volume:

   Extractable Water = Total Volume $\times S_y$

   Extractable Water = $3.0 \, \text{m}^3 \times 0.25 = 0.75 \, \text{m}^3$

Therefore, 0.75 cubic meters of water can be extracted from the aquifer.