Question

What is the discharge capacity required at the outlet to irrigate 2200 hectares of sugarcane having a kor depth of 17 cm and kor period of 30 days?

• A. 102.8 m$^3$/s
• B. 0.73 m$^3$/s
• C. 1.44 m$^3$/s
• D. 0.01 m$^3$/s

Hint:

To compute discharge for irrigation, always ensure units are consistent. Area in m$^2$, depth in meters, and time in seconds.

Answer 1

The Correct Option is C

To calculate the discharge capacity (\( Q \)), use the formula:
\[ Q = \frac{A \times D}{\Delta \times 86400} \] where:
- \( A \) = Area to be irrigated (in m$^2$)
- \( D \) = Kor depth (in meters)
- \( \Delta \) = Kor period (in days)
- 86400 = Number of seconds in a day
Step 1: Convert values to appropriate units
\[ A = 2200 \text{ hectares} = 2200 \times 10^4 = 22,000,000 \text{ m}^2 \]
\[ D = 17 \text{ cm} = 0.17 \text{ m} \]
\[ \Delta = 30 \text{ days} \] Step 2: Plug into formula
\[ Q = \frac{22,000,000 \times 0.17}{30 \times 86400} = \frac{3,740,000}{2,592,000} \approx 1.44 \text{ m}^3/\text{s} \] Therefore, the required discharge capacity is \( \boxed{1.44 \text{ m}^3/\text{s}} \).