Centilitres per second to Cubic kilometers per second conversion

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

Sure, let's convert 1 Centilitre per second (cL/s) to Cubic kilometers per second (km³/s). We need to work through the conversion factors step by step.

Conversion Steps:

1. Centilitres to Litres:

   • 1 centilitre (cL) is equivalent to 0.01 litres (L).

   $1 \, \text{cL} = 0.01 \, \text{L}$

2. Litres to Cubic Meters:

   • 1 litre (L) is equivalent to $10^{-3}$ cubic meters (m³).

   $1 \, \text{L} = 0.001 \, \text{m}^3$

3. Cubic Meters to Cubic Kilometers:

   • 1 cubic kilometer (km³) is equivalent to $10^9$ cubic meters (m³).

   $1 \, \text{km}^3 = 10^9 \, \text{m}^3$

Combine Conversion Factors:

Now, we can combine these conversion factors:

1. Convert centilitres to litres: $1 \, \text{cL/s} = 0.01 \, \text{L/s}$

2. Convert litres to cubic meters: $0.01 \, \text{L/s} = 0.01 \times 0.001 \, \text{m}^3/\text{s} = 0.00001 \, \text{m}^3/\text{s}$

3. Convert cubic meters to cubic kilometers: $0.00001 \, \text{m}^3/\text{s} = 0.00001 \times 10^{-9} \, \text{km}^3/\text{s} = 10^{-14} \, \text{km}^3/\text{s}$

Therefore, 1 Centilitre per second (cL/s) is equal to $10^{-14}$ Cubic kilometers per second (km³/s).

Real World Examples for Other Quantities of Centilitres per Second:

1. Kitchen Tap:

   • A typical kitchen tap can have a flow rate of about 10-15 litres per minute.

   • Converting to centilitres per second:

     $\text{10 L/min} = \frac{10 \, \text{L}}{60 \, \text{s}} = \frac{1000 \, \text{cL}}{60 \, \text{s}} \approx 16.67 \, \text{cL/s}$

2. Garden Hose:

   • A garden hose can have a flow rate of about 20-25 litres per minute.

   • Converting to centilitres per second:

     $\text{20 L/min} = \frac{20 \, \text{L}}{60 \, \text{s}} = \frac{2000 \, \text{cL}}{60 \, \text{s}} \approx 33.33 \, \text{cL/s}$

3. Water Cooler Dispensing:

   • Some water coolers dispense water at a rate of around 0.5 litres per second.

   • Converting to centilitres per second:

     $0.5 \, \text{L/s} = 0.5 \times 100 = 50 \, \text{cL/s}$

These examples help in understanding the variety of volume flow rates in centilitres per second and their relevance to everyday scenarios.