Centilitres per second to Gallons per hour conversion

How to convert centilitres per second to gallons per hour?

To convert centilitres per second (cL/s) to gallons per hour (gal/hr), we need to understand the conversion factors between the units involved.

Here's a step-by-step conversion process:

1. Convert Centilitres to Litres:

   • 1 centilitre (cL) = 0.01 litres (L)

2. Convert Litres to Gallons:

   • 1 litre (L) = 0.264172 gallons (gal)

3. Convert Seconds to Hours:

   • 1 hour = 3600 seconds

Let's apply this to convert 1 cL/s to gal/hr:

Step 1: Convert cL/s to L/s: $1 \text{ cL/s} = 1 \times 0.01 \text{ L/s} = 0.01 \text{ L/s}$

Step 2: Convert L/s to gal/s: $0.01 \text{ L/s} = 0.01 \times 0.264172 \text{ gal/s} = 0.00264172 \text{ gal/s}$

Step 3: Convert gal/s to gal/hr: $0.00264172 \text{ gal/s} \times 3600 \text{ s/hr} = 9.51019 \text{ gal/hr}$

Therefore, 1 centilitre per second is approximately 9.51 gallons per hour.

Real-World Examples for Other Quantities of Centilitres per Second:

1. Water Tap Flow (5 cL/s):

   • Conversion: $5 \text{ cL/s} \times 9.51 \text{ gal/hr per cL/s} = 47.55 \text{ gal/hr}$
   • Example: A moderate water tap might flow at around 5 cL/s, which is approximately 47.55 gallons per hour.

2. Showerhead Flow (10 cL/s):

   • Conversion: $10 \text{ cL/s} \times 9.51 \text{ gal/hr per cL/s} = 95.1 \text{ gal/hr}$
   • Example: A typical showerhead might have a flow rate of around 10 cL/s, equating to around 95.1 gallons per hour.

3. Fire Hose (100 cL/s):

   • Conversion: $100 \text{ cL/s} \times 9.51 \text{ gal/hr per cL/s} = 951 \text{ gal/hr}$
   • Example: A fire hose might have a much higher flow rate, say around 100 cL/s, which would be approximately 951 gallons per hour.

Understanding these conversions can help in practical situations where different units of volume flow rate are used. For instance, knowing how a flow rate in centilitres per second translates to gallons per hour can help in industrial settings, plumbing, or when managing water supplies.