Question Bank • QB_IDE_ADV_075 NAT • 2 Marks

Section 5: Irrigation and Drainage Engineering

Agricultural Drainage

Subtopic: Leaching requirement and salinity control

Question Statement:

An agricultural crop is irrigated with water having an electrical conductivity of $EC_{iw} = 1.80\text{ dS/m}$. The soil salinity threshold for maintaining $100\%$ crop yield potential is $EC_e = 3.00\text{ dS/m}$. Using Rhoades' formula for leaching requirement under conventional surface irrigation: $LR = \frac{EC_{iw}}{5 EC_e - EC_{iw}}$ the required leaching requirement fraction $LR$ expressed as a percentage ($\text{\%}$) is ________ (round off to one decimal place).

Answer Key:

13.6

Step-by-Step Solution & Explanation

1. Leaching requirement equation: $LR = \frac{EC_{iw}}{5 EC_e - EC_{iw}}$ Where: - $EC_{iw} = 1.80\text{ dS/m}$ - $EC_e = 3.00\text{ dS/m}$ 2. Calculating denominator: $5 EC_e - EC_{iw} = 5(3.00) - 1.80 = 15.00 - 1.80 = 13.20\text{ dS/m}$ 3. Calculating $LR$ fraction: $LR = \frac{1.80}{13.20} = 0.13636$ 4. Converting to percentage: $LR = 0.13636 \times 100\% = 13.636\% \approx 13.6\%$
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