Question Bank • QB_IDE_EXP_089 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Agricultural Drainage

Subtopic: Irrigation and drainage water quality and reuse

Question Statement:

Calculate the Sodium Adsorption Ratio ($SAR$) of irrigation water having cation concentrations of $\text{Na}^+ = 9.0\text{ meq/L}$, $\text{Ca}^{2+} = 3.0\text{ meq/L}$, and $\text{Mg}^{2+} = 5.0\text{ meq/L}$ using $SAR = \frac{\text{Na}^+}{\sqrt{(\text{Ca}^{2+} + \text{Mg}^{2+})/2}}$.

Answer Key:

4.5

Step-by-Step Solution & Explanation

$\frac{\text{Ca}^{2+} + \text{Mg}^{2+}}{2} = \frac{3.0 + 5.0}{2} = \frac{8.0}{2} = 4.0$ $\sqrt{4.0} = 2.0$ $SAR = \frac{9.0}{2.0} = 4.50$
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