Question Bank • QB_IDE_DRN_004 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Agricultural Drainage

Subtopic: Irrigation and drainage water quality and reuse

Question Statement:

A chemical analysis of irrigation water shows cation concentrations of $\text{Na}^+ = 18.0\text{ meq/L}$, $\text{Ca}^{2+} = 5.0\text{ meq/L}$, and $\text{Mg}^{2+} = 3.0\text{ meq/L}$. The Sodium Adsorption Ratio ($SAR = \frac{[\text{Na}^+]}{\sqrt{\frac{[\text{Ca}^{2+}] + [\text{Mg}^{2+}]}{2}}}$) in $(\text{meq/L})^{0.5}$ is ________ (answer in integer).

Answer Key:

9

Step-by-Step Solution & Explanation

The Sodium Adsorption Ratio is defined as: $SAR = \frac{[\text{Na}^+]}{\sqrt{\frac{[\text{Ca}^{2+}] + [\text{Mg}^{2+}]}{2}}}$ Given: • $[\text{Na}^+] = 18.0\text{ meq/L}$ • $[\text{Ca}^{2+}] = 5.0\text{ meq/L}$ • $[\text{Mg}^{2+}] = 3.0\text{ meq/L}$ $\frac{[\text{Ca}^{2+}] + [\text{Mg}^{2+}]}{2} = \frac{5.0 + 3.0}{2} = \frac{8.0}{2} = 4.0$ $\sqrt{4.0} = 2.0$ $SAR = \frac{18.0}{2.0} = 9.0(\text{meq/L})^{0.5}$
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