Kilolitres per hour to Cubic feet per minute conversion

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

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

1. Understand the basic conversions:

   • 1 kilolitre (kL) is equal to 1,000 litres (L).
   • 1 litre (L) is equal to approximately 0.0353147 cubic feet (ft³).
   • 1 hour (h) is equal to 60 minutes.

2. Convert kilolitres to cubic feet:

   • 1 kL = 1,000 L.
   • Multiply 1,000 litres by the conversion factor for litres to cubic feet:
     $1,000 \text{ L} \times 0.0353147 \text{ ft}³/\text{L} = 35.3147 \text{ ft}³$

3. Convert hours to minutes:

   • 1 hour = 60 minutes.

4. Combine these conversions to express the flow rate in cubic feet per minute: $35.3147 \text{ ft}³/\text{h} ÷ 60 \text{ min/h} = 0.588578 \text{ ft}³/\text{min}$

So, 1 kilolitre per hour is approximately 0.588578 cubic feet per minute.

Real-world Examples for Other Quantities of Kilolitres per Hour:

1. 5 Kilolitres per hour (kL/h)

   • Convert to cubic feet: $5 \text{ kL/h} = 5,000 \text{ L/h} \rightarrow 5,000 \text{ L} \times 0.0353147 \text{ ft}³/\text{L} = 176.5735 \text{ ft}³/\text{h}$
   • Convert to per minute: $176.5735 \text{ ft}³/\text{h} ÷ 60 \text{ min/h} = 2.9428917 \text{ ft}³/\text{min}$

2. 10 Kilolitres per hour (kL/h)

   • Convert to cubic feet: $10 \text{ kL/h} = 10,000 \text{ L/h} \rightarrow 10,000 \text{ L} \times 0.0353147 \text{ ft}³/\text{L} = 353.147 \text{ ft}³/\text{h}$
   • Convert to per minute: $353.147 \text{ ft}³/\text{h} ÷ 60 \text{ min/h} = 5.88578 \text{ ft}³/\text{min}$

3. 20 Kilolitres per hour (kL/h)

   • Convert to cubic feet: $20 \text{ kL/h} = 20,000 \text{ L/h} \rightarrow 20,000 \text{ L} \times 0.0353147 \text{ ft}³/\text{L} = 706.294 \text{ ft}³/\text{h}$
   • Convert to per minute: $706.294 \text{ ft}³/\text{h} ÷ 60 \text{ min/h} = 11.7716 \text{ ft}³/\text{min}$

Understanding these conversions can be useful in various fields such as hydraulics, fluid dynamics, and engineering where different units of flow rates are commonly used.