Cubic feet per hour to Kilolitres per second conversion

How to convert cubic feet per hour to kilolitres per second?

To convert from cubic feet per hour (ft³/hr) to kiloliters per second (kL/s), we need to follow a series of unit conversions:

1. Cubic feet to cubic meters: 1 cubic foot is equal to approximately 0.0283168 cubic meters (m³).

2. Cubic meters to kiloliters: 1 cubic meter is exactly equal to 1 kiloliter (kL).

3. Hours to seconds: 1 hour is equal to 3600 seconds.

Now, let's use these conversions to convert 1 cubic foot per hour to kiloliters per second.

Step-by-Step Calculation

1. Convert cubic feet to cubic meters: $1 \, \text{ft}^3 = 0.0283168 \, \text{m}^3$

2. Since 1 cubic meter is equal to 1 kiloliter: $0.0283168 \, \text{m}^3 = 0.0283168 \, \text{kL}$

3. Convert time from hours to seconds: $1 \, \text{hour} = 3600 \, \text{seconds}$

4. Now, the flow rate in kiloliters per second is: $\frac{0.0283168 \, \text{kL}}{3600 \, \text{seconds}} \approx 7.865 \times 10^{-6} \, \text{kL/s}$

So, 1 cubic foot per hour is approximately $7.865 \times 10^{-6}$ kiloliters per second.

Real World Examples

Below are some real-world examples with different quantities of cubic feet per hour, converted to kiloliters per second:

1. Residential Water Usage:

   • Typical household water flow rate for a shower might be around 2.5 gallons per minute (gpm), which is approximately 20 cubic feet per hour.
   • Conversion: $20 \, \text{ft}^3/\text{hr} \approx 20 \times 7.865 \times 10^{-6} \, \text{kL/s} \approx 1.573 \times 10^{-4} \, \text{kL/s}$

2. Industrial Liquid Flow:

   • An industrial water cooling system might have a flow rate of 10,000 cubic feet per hour.
   • Conversion: $10{,}000 \, \text{ft}^3/\text{hr} \approx 10{,}000 \times 7.865 \times 10^{-6} \, \text{kL/s} \approx 0.07865 \, \text{kL/s}$

3. Wastewater Treatment Plant:

   • A small wastewater treatment plant might process 1,000,000 cubic feet of water per hour.
   • Conversion: $1{,}000{,}000 \, \text{ft}^3/\text{hr} \approx 1{,}000{,}000 \times 7.865 \times 10^{-6} \, \text{kL/s} \approx 7.865 \, \text{kL/s}$

These conversions can be quite useful for engineering applications, environmental studies, and general water management systems. The ability to translate water flow rates between different units of measure ensures accurate planning and operation across various domains.