Cubic feet per hour to Centilitres per second conversion

How to convert cubic feet per hour to centilitres per second?

To convert cubic feet per hour (ft³/hr) to centiliters per second (cL/s), you need to use the appropriate conversion factors. Here are the steps to do it:

1. Convert cubic feet to cubic meters:

   • 1 cubic foot = 0.0283168 cubic meters (m³).

2. Convert cubic meters to liters:

   • 1 cubic meter = 1000 liters (L).

3. Convert liters to centiliters:

   • 1 liter = 100 centiliters (cL).

4. Convert hours to seconds:

   • 1 hour = 3600 seconds (s).

Let's break it down using these conversion factors:

1. Start with the given value: 1 ft³/hr.

2. Convert cubic feet to cubic meters: $1 \text{ ft}³ \times 0.0283168 \text{ m}³/\text{ft}³ = 0.0283168 \text{ m}³$

3. Convert cubic meters to liters: $0.0283168 \text{ m}³ \times 1000 \text{ L}/\text{m}³ = 28.3168 \text{ L}$

4. Convert liters to centiliters: $28.3168 \text{ L} \times 100 \text{ cL}/\text{L} = 2831.68 \text{ cL}$

5. Convert hours to seconds: $1 \text{ hour} = 3600 \text{ seconds}$

6. Now, express the volume flow rate in centiliters per second: $2831.68 \text{ cL} / 3600 \text{ s} \approx 0.786 \text{ cL/s}$

So, 1 cubic foot per hour is approximately equal to 0.786 centiliters per second.

Real-World Examples

1. Residential Air Flow: A typical residential air conditioning system might have an air flow rate of around 400 ft³/hr. Converting this: $400 \text{ ft}³/\text{hr} \approx 400 \times 0.786 \text{ cL/s} = 314.4 \text{ cL/s}$.

2. Gas Flow in Pipelines: In a small natural gas pipeline, you might have a flow rate of 1000 ft³/hr. Converting this: $1000 \text{ ft}³/\text{hr} \approx 1000 \times 0.786 \text{ cL/s} = 786 \text{ cL/s}$.

3. Aquarium Water Pump: A medium-sized aquarium might use a water pump with a flow rate of about 50 ft³/hr. Converting this: $50 \text{ ft}³/\text{hr} \approx 50 \times 0.786 \text{ cL/s} = 39.3 \text{ cL/s}$.

By understanding these conversions and real-world examples, you can better appreciate and apply volume flow rates in different contexts.