Cubic feet per hour to Kilolitres per minute conversion

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

To convert cubic feet per hour (ft³/hr) to kilolitres per minute (kL/min), we need to follow these steps:

1. Convert cubic feet to cubic meters, as 1 cubic meter (m³) = 35.3147 cubic feet (ft³).
2. Convert cubic meters to kilolitres, as 1 cubic meter (m³) = 1 kilolitre (kL).
3. Convert hours to minutes, as 1 hour = 60 minutes.

Let's start with the conversion for 1 cubic foot per hour (ft³/hr):

1. Convert cubic feet to cubic meters: $1 \, \text{ft}^3 = \frac{1 \, \text{ft}^3}{35.3147} \, \text{m}^3$ Therefore: $1 \, \text{ft}^3 = 0.0283168 \, \text{m}^3$

2. Since 1 cubic meter (m³) is equivalent to 1 kilolitre (kL), we get: $1 \, \text{ft}^3 \text{ per } \text{hr} = 0.0283168 \, \text{kL} \text{ per } \text{hr}$

3. Convert hours to minutes: $0.0283168 \, \text{kL} \text{ per } \text{hr} = \frac{0.0283168 \, \text{kL}}{60 \, \text{min}}$ Therefore: $0.0283168 \, \text{kL} \div 60 = 0.000471947 \, \text{kL/min}$

So, 1 cubic foot per hour is approximately 0.000471947 kilolitres per minute.

Examples for Other Quantities

1. 10 cubic feet per hour (ft³/hr): $10 \, \text{ft}^3/\text{hr} = 10 \times 0.000471947 \, \text{kL/min} = 0.00471947 \, \text{kL/min}$

2. 100 cubic feet per hour (ft³/hr): $100 \, \text{ft}^3/\text{hr} = 100 \times 0.000471947 \, \text{kL/min} = 0.0471947 \, \text{kL/min}$

3. 1000 cubic feet per hour (ft³/hr): $1000 \, \text{ft}^3/\text{hr} = 1000 \times 0.000471947 \, \text{kL/min} = 0.471947 \, \text{kL/min}$

Real-World Examples

1. Air Conditioning Systems: Many HVAC (heating, ventilation, and air conditioning) units have airflow rated in cubic feet per hour. For example, an AC unit might have a flow rate of 500 ft³/hr, which would be: $500 \, \text{ft}^3/\text{hr} = 0.235974 \, \text{kL/min}$

2. Natural Gas Usage: Natural gas flow in pipelines is often measured in cubic feet per hour. A residential natural gas meter might measure 2000 ft³/hr, converting to: $2000 \, \text{ft}^3/\text{hr} = 0.943894 \, \text{kL/min}$

3. Industrial Ventilation: In a manufacturing setting, large fans might be rated in cubic feet per hour. A fan rated at 10,000 ft³/hr would be: $10,000 \, \text{ft}^3/\text{hr} = 4.71947 \, \text{kL/min}$

These conversions help standardize flow rates across different units of measure and facilitate comparisons in various engineering and industrial applications.