Answer :
Let's analyze the sustainability of each lake based on the recharges (inflows) and discharges (outflows) provided:
Lake A:
- Recharges:
- River 1: 6.0 m³/minute
- Precipitation: 2.4 m³/minute
- River 2: 2.1 m³/minute
- Total Recharges: [tex]\( 6.0 + 2.4 + 2.1 = 10.5 \)[/tex] m³/minute
- Discharges:
- Irrigation Canals: 5.1 m³/minute
- Evaporation: 4.0 m³/minute
- Total Discharges: [tex]\( 5.1 + 4.0 = 9.1 \)[/tex] m³/minute
- Net Inflow:
- [tex]\( 10.5 - 9.1 = 1.4 \)[/tex] m³/minute
Lake B:
- Recharges:
- River 1: 5.6 m³/minute
- Precipitation: 0.4 m³/minute
- River 2: 3.1 m³/minute
- Total Recharges: [tex]\( 5.6 + 0.4 + 3.1 = 9.1 \)[/tex] m³/minute
- Discharges:
- River 3: 4.3 m³/minute
- Irrigation Canals: 3.1 m³/minute
- Evaporation: 3.5 m³/minute
- Total Discharges: [tex]\( 4.3 + 3.1 + 3.5 = 10.9 \)[/tex] m³/minute
- Net Inflow:
- [tex]\( 9.1 - 10.9 = -1.8 \)[/tex] m³/minute
Lake C:
- Recharges:
- River 1: 2.6 m³/minute
- Precipitation: 3.0 m³/minute
- River 2: 1.2 m³/minute
- Total Recharges: [tex]\( 2.6 + 3.0 + 1.2 = 6.8 \)[/tex] m³/minute
- Discharges:
- Evaporation: 2.3 m³/minute
- Total Discharges: 2.3 m³/minute
- Net Inflow:
- [tex]\( 6.8 - 2.3 = 4.5 \)[/tex] m³/minute
Conclusion:
- Lake A has a positive net inflow of 1.4 m³/minute.
- Lake B has a negative net inflow of -1.8 m³/minute, indicating that the discharges exceed the recharges.
- Lake C has a positive net inflow of 4.5 m³/minute.
Since Lake B has a negative net inflow, it is not sustainable. The discharges (outflows) are greater than the recharges (inflows), which means the lake is losing more water than it is gaining over time.
Lake A:
- Recharges:
- River 1: 6.0 m³/minute
- Precipitation: 2.4 m³/minute
- River 2: 2.1 m³/minute
- Total Recharges: [tex]\( 6.0 + 2.4 + 2.1 = 10.5 \)[/tex] m³/minute
- Discharges:
- Irrigation Canals: 5.1 m³/minute
- Evaporation: 4.0 m³/minute
- Total Discharges: [tex]\( 5.1 + 4.0 = 9.1 \)[/tex] m³/minute
- Net Inflow:
- [tex]\( 10.5 - 9.1 = 1.4 \)[/tex] m³/minute
Lake B:
- Recharges:
- River 1: 5.6 m³/minute
- Precipitation: 0.4 m³/minute
- River 2: 3.1 m³/minute
- Total Recharges: [tex]\( 5.6 + 0.4 + 3.1 = 9.1 \)[/tex] m³/minute
- Discharges:
- River 3: 4.3 m³/minute
- Irrigation Canals: 3.1 m³/minute
- Evaporation: 3.5 m³/minute
- Total Discharges: [tex]\( 4.3 + 3.1 + 3.5 = 10.9 \)[/tex] m³/minute
- Net Inflow:
- [tex]\( 9.1 - 10.9 = -1.8 \)[/tex] m³/minute
Lake C:
- Recharges:
- River 1: 2.6 m³/minute
- Precipitation: 3.0 m³/minute
- River 2: 1.2 m³/minute
- Total Recharges: [tex]\( 2.6 + 3.0 + 1.2 = 6.8 \)[/tex] m³/minute
- Discharges:
- Evaporation: 2.3 m³/minute
- Total Discharges: 2.3 m³/minute
- Net Inflow:
- [tex]\( 6.8 - 2.3 = 4.5 \)[/tex] m³/minute
Conclusion:
- Lake A has a positive net inflow of 1.4 m³/minute.
- Lake B has a negative net inflow of -1.8 m³/minute, indicating that the discharges exceed the recharges.
- Lake C has a positive net inflow of 4.5 m³/minute.
Since Lake B has a negative net inflow, it is not sustainable. The discharges (outflows) are greater than the recharges (inflows), which means the lake is losing more water than it is gaining over time.