Cubic feet per minute to Kilolitres per hour conversion

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

To convert cubic feet per minute (CFM) to kiloliters per hour (kL/h), we need to understand the relationship between these units.

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

Now, let's proceed step-by-step:

1. Convert cubic feet per minute to cubic meters per minute: $1 \text{ CFM} = 1 \times 0.0283168 \text{ cubic meters per minute}$ $1 \text{ CFM} = 0.0283168 \text{ m³/min}$

2. Convert cubic meters per minute to cubic meters per hour: $1 \text{ m³/min} = 60 \text{ m³/h (since there are 60 minutes in an hour)}$ $0.0283168 \text{ m³/min} \times 60 = 1.699008 \text{ m³/h}$

3. Convert cubic meters per hour to kiloliters per hour (since 1 m³ = 1 kL): $1.699008 \text{ m³/h} = 1.699008 \text{ kL/h}$

So, 1 cubic foot per minute is approximately 1.699008 kiloliters per hour.

Real-World Examples

1. Residential HVAC System: A typical residential HVAC system might operate at around 400 CFM (to circulate air). $400 \text{ CFM} = 400 \times 1.699008 \text{ kL/h}$ $400 \text{ CFM} \approx 679.6032 \text{ kL/h}$

2. Industrial Fan: A large industrial fan might operate at 10,000 CFM. $10,000 \text{ CFM} = 10,000 \times 1.699008 \text{ kL/h}$ $10,000 \text{ CFM} \approx 16,990.08 \text{ kL/h}$

3. Kitchen Exhaust Hood: A commercial kitchen exhaust hood might operate at 1,500 CFM. $1,500 \text{ CFM} = 1,500 \times 1.699008 \text{ kL/h}$ $1,500 \text{ CFM} \approx 2,548.512 \text{ kL/h}$

4. Air Compressor: An air compressor might output air at 250 CFM. $250 \text{ CFM} = 250 \times 1.699008 \text{ kL/h}$ $250 \text{ CFM} \approx 424.752 \text{ kL/h}$

These conversions and examples illustrate how to convert from cubic feet per minute to kiloliters per hour and provide a sense of the scale for various real-world applications.