Cubic feet per hour to Kilolitres per hour conversion

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

To convert cubic feet per hour (ft³/hr) to kiloliters per hour (kL/hr), you need to understand the conversion factors between these units. Here’s how you can perform the conversion:

1. Understand the Units:

   • 1 cubic foot (ft³) = 0.0283168 cubic meters (m³)
   • 1 cubic meter (m³) = 1 kiloliter (kL)

2. Relate Cubic Feet to Kiloliters:

   • Thus, 1 ft³ = 0.0283168 kL

3. Convert the Volume Flow Rate:

   • To convert 1 ft³/hr to kL/hr, use the conversion factor directly: $1 \text{ ft}³/\text{hr} \times 0.0283168 \text{ kL/ft}³ = 0.0283168 \text{ kL/hr}$

Real-World Examples

Example 1: Residential Airflow

• A typical residential HVAC system might move about 1,000 cubic feet of air per minute, which equates to:

  • Convert per minute to per hour: $1000 \text{ ft}³/\text{min} \times 60 \text{ min/hr} = 60,000 \text{ ft}³/hr$
  • Convert to kL/hr: $60,000 \text{ ft}³/\text{hr} \times 0.0283168 \text{ kL/ft}³ = 1,699.008 \text{ kL/hr}$

Example 2: Industrial Gas Flow

• An industrial facility might have a gas flow rate of 10,000 cubic feet per hour:

  • Convert to kL/hr: $10,000 \text{ ft}³/\text{hr} \times 0.0283168 \text{ kL/ft}³ = 283.168 \text{ kL/hr}$

Example 3: Water Treatment Plant

• A water treatment plant might process 500,000 cubic feet of water per day. First, find the hourly rate:

  • Daily to hourly rate: $500,000 \text{ ft}³/\text{day} \div 24 \text{ hr/day} = 20,833.33 \text{ ft}³/hr$
  • Convert to kL/hr: $20,833.33 \text{ ft}³/\text{hr} \times 0.0283168 \text{ kL/ft}³ = 590.306 \text{ kL/hr}$

By applying this method, you can convert any volume flow rate from cubic feet per hour to kiloliters per hour straightforwardly.