Kilolitres per minute to Cubic feet per hour conversion

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

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

1. Understand the Units:

   • 1 kilolitre (kL) = 1,000 litres (L)
   • 1 litre = 0.0353147 cubic feet (ft³)
   • 1 minute = 60 seconds
   • 1 hour = 60 minutes

2. Conversion Process:

   • Convert kilolitres to litres: $1 \text{kL/min} = 1,000 \text{L/min}$
   • Convert litres to cubic feet: $1,000 \text{L/min} \times 0.0353147 \text{ft}³/\text{L} = 35.3147 \text{ft}³/\text{min}$
   • Convert minutes to hours: $35.3147 \text{ft}³/\text{min} \times 60 \text{min}/\text{hr} = 2118.882 \text{ft}³/\text{hr}$

So, 1 kilolitre per minute is equivalent to 2118.882 cubic feet per hour.

Real World Examples for Different Quantities of Kilolitres per Minute

1. Residential Water Usage:

   • A household water pump might supply water at around 0.0167 kL/min (approximately 1 m³/hour), which is about 35.3147 cubic feet per hour.

2. Industrial Applications:

   • A fire hydrant might discharge water at about 10 kL/min. This would convert to: $10 \text{kL/min} \times 2118.882 \text{ft}³/\text{kL/min} = 21,188.82 \text{ft}³/hr$

3. Irrigation Systems:

   • Larger agricultural irrigation systems might operate around 5 kL/min, which is: $5 \text{kL/min} \times 2118.882 \text{ft}³/\text{kL/min} = 10,594.41 \text{ft}³/hr$

4. Water Treatment Plants:

   • A water treatment plant might process 50 kL/min. This equates to: $50 \text{kL/min} \times 2118.882 \text{ft}³/\text{kL/min} = 105,944.1 \text{ft}³/hr$

5. Flood Management:

   • A large flood pump may need to handle 100 kL/min. In cubic feet per hour, that would be: $100 \text{kL/min} \times 2118.882 \text{ft}³/\text{kL/min} = 211,888.2 \text{ft}³/hr$

By understanding these conversions, you can better grasp the flow rates involved in various real-world applications, from household water usage to large-scale industrial and municipal operations.