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In border flooding, the average depth of water flowing over the field is 15cm and the area of the field is 0.5ha. The rate of infiltration is 10mm/day and the discharge of the canal is 300 lit/min. Calculate the time taken in days(round upto 2 decimal places) to irrigate the whole field.
- a)1.8
- b)1.9
Correct answer is between '1.8,1.9'. Can you explain this answer?
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In border flooding, the average depth of water flowing over the field...
Calculating Volume of Water Required
To determine the time taken to irrigate the field, we first need to calculate the volume of water required to cover the field at an average depth of 15 cm.
- **Field Area**: 0.5 hectares = 5000 m²
- **Average Depth**: 15 cm = 0.15 m
- **Volume of Water Required**:
Volume = Area × Depth
Volume = 5000 m² × 0.15 m = 750 m³
Converting Volume to Liters
Next, we convert the volume from cubic meters to liters since the discharge is given in liters.
- **1 m³ = 1000 liters**
- **Total Volume in Liters**:
750 m³ × 1000 = 750,000 liters
Calculating Effective Discharge
Now, we consider the discharge rate of the canal.
- **Discharge Rate**: 300 liters/min
- **Convert to liters per day**:
300 liters/min × 60 min/hour × 24 hours/day = 432,000 liters/day
Accounting for Infiltration
Since there is an infiltration rate, we must account for this loss.
- **Infiltration Rate**: 10 mm/day = 0.01 m/day
- **Volume Lost Due to Infiltration**:
Volume = Area × Infiltration Rate
Volume = 5000 m² × 0.01 m = 50 m³ = 50,000 liters/day
Net Discharge Rate
Now, we calculate the net effective discharge rate:
- **Net Discharge Rate**:
Net Discharge = Total Discharge - Infiltration Loss
Net Discharge = 432,000 liters/day - 50,000 liters/day = 382,000 liters/day
Calculating Time to Irrigate
Finally, we can calculate the time taken to irrigate the whole field:
- **Time (in days)**:
Time = Total Volume / Net Discharge
Time = 750,000 liters / 382,000 liters/day ≈ 1.96 days
Thus, the time taken to irrigate the whole field is approximately **1.96 days**, rounded to **1.9 days**.
To determine the time taken to irrigate the field, we first need to calculate the volume of water required to cover the field at an average depth of 15 cm.
- **Field Area**: 0.5 hectares = 5000 m²
- **Average Depth**: 15 cm = 0.15 m
- **Volume of Water Required**:
Volume = Area × Depth
Volume = 5000 m² × 0.15 m = 750 m³
Converting Volume to Liters
Next, we convert the volume from cubic meters to liters since the discharge is given in liters.
- **1 m³ = 1000 liters**
- **Total Volume in Liters**:
750 m³ × 1000 = 750,000 liters
Calculating Effective Discharge
Now, we consider the discharge rate of the canal.
- **Discharge Rate**: 300 liters/min
- **Convert to liters per day**:
300 liters/min × 60 min/hour × 24 hours/day = 432,000 liters/day
Accounting for Infiltration
Since there is an infiltration rate, we must account for this loss.
- **Infiltration Rate**: 10 mm/day = 0.01 m/day
- **Volume Lost Due to Infiltration**:
Volume = Area × Infiltration Rate
Volume = 5000 m² × 0.01 m = 50 m³ = 50,000 liters/day
Net Discharge Rate
Now, we calculate the net effective discharge rate:
- **Net Discharge Rate**:
Net Discharge = Total Discharge - Infiltration Loss
Net Discharge = 432,000 liters/day - 50,000 liters/day = 382,000 liters/day
Calculating Time to Irrigate
Finally, we can calculate the time taken to irrigate the whole field:
- **Time (in days)**:
Time = Total Volume / Net Discharge
Time = 750,000 liters / 382,000 liters/day ≈ 1.96 days
Thus, the time taken to irrigate the whole field is approximately **1.96 days**, rounded to **1.9 days**.
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In border flooding, the average depth of water flowing over the field is 15cm and the area of the field is 0.5ha. The rate of infiltration is 10mm/day and the discharge of the canal is 300 lit/min. Calculate the time taken in days(round upto 2 decimal places) to irrigate the whole field.a)1.8b)1.9Correct answer is between '1.8,1.9'. Can you explain this answer?
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