Litres per second to Cubic kilometers per second conversion

How to convert litres per second to cubic kilometers per second?

To convert from litres per second (L/s) to cubic kilometers per second (km³/s), you need to understand the relationship between these units of volume.

1 liter (L) is equal to $10^{-3}$ cubic meters (m³). 1 cubic meter (m³) is equal to $10^{-9}$ cubic kilometers (km³).

So, when converting L/s to km³/s, you use the following conversions:

$1 \text{ L} = 1 \text{ L} \times 10^{-3} \text{ m}^3/\text{L} = 10^{-3} \text{ m}^3$ $1 \text{ m}^3 = 10^{-9} \text{ km}^3$

Then,

$1 \text{ L/s} = 1 \times 10^{-3} \text{ m}^3/\text{s}$

To convert cubic meters per second to cubic kilometers per second:

$1 \text{ m}^3/\text{s} = 10^{-9} \text{ km}^3/\text{s}$

Therefore,

$1 \text{ L/s} = 10^{-3} \text{ m}^3/\text{s} \times 10^{-9} \text{ km}^3/\text{m}^3 = 10^{-12} \text{ km}^3/\text{s}$

So, 1 L/s is equal to $10^{-12}$ km³/s.

Real-World Examples of Litres per Second

1. Water Flow in Pipes:

   • A typical domestic shower has a water flow rate of about 10-15 L/s.

2. Fire Hoses:

   • A standard fire hose can discharge water at rates between 20-40 L/s.

3. River Discharge:

   • The average flow of the Amazon River is approximately 209,000 L/s (which is 209 m³/s).

4. Pumping Stations:

   • Large municipal water pumps often operate at rates of about 200-300 L/s to supply water to urban areas.

5. Wastewater Treatment Plants:

   • Many large-scale wastewater treatment plants can handle flow rates of several thousand L/s; for example, some can treat around 10,000 to 20,000 L/s.

By understanding these typical rates, you can get a sense of how substantial or minor a given flow rate might be in practical terms.