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.
