Understanding Cubic feet per hour to Litres per hour Conversion
Cubic feet per hour () and litres per hour () are both units used to measure volumetric flow rate, which describes how much volume moves through a system in one hour. Cubic feet per hour is commonly associated with U.S. customary and imperial-style engineering contexts, while litres per hour is widely used in metric-based technical, industrial, and scientific applications.
Converting between these units is useful when comparing equipment specifications, interpreting international documentation, or standardizing measurements across different industries. It is especially relevant for ventilation systems, gas supply rates, water dosing systems, and fluid transfer equipment.
Conversion Formula
To convert from cubic feet per hour to litres per hour, use the verified relationship:
So the general formula is:
For the reverse conversion, the verified relationship is:
So the reverse formula is:
Step-by-Step Example
Suppose a ventilation device moves air at a rate of .
1. Write the formula
2. Substitute the value
3. Calculate
Therefore:
Real-World Examples
- A small laboratory gas flow setup rated at corresponds to .
- A compact ventilation line carrying is equal to .
- A fluid dosing or transfer system operating at converts to .
- An industrial blower with a low-flow specification of corresponds to .
Interesting Facts
- The cubic foot is a volume unit derived from the foot, a traditional length unit used in U.S. customary and some imperial measurement contexts. Background on the foot and related customary units is available from NIST: https://www.nist.gov/pml/owm/metric-si/si-units
- The litre is a metric unit of volume commonly used for liquids and gases, and it is accepted for use with the International System of Units. A general reference is available on Wikipedia: https://en.wikipedia.org/wiki/Litre
Notes on Using These Units
Cubic feet per hour is often seen in equipment catalogs, HVAC references, and gas handling specifications where imperial-style units are still standard. Litres per hour is more common in international product documentation, water treatment, chemical processing, and scientific reporting.
Because both units describe volume per unit time, the conversion does not change the physical flow itself; it only changes the numeric expression into a different measurement system. This makes the conversion important for accurate comparison of technical data sheets and operating ranges.
When reading a specification, it is also important to distinguish volume flow rate from mass flow rate. Units such as and describe the space occupied by a fluid per hour, not its mass.
In practical settings, these units may be used for:
- air movement in ducts or enclosures
- natural gas or other gas delivery systems
- water pumping and metering
- chemical feed systems
- laboratory instrumentation
For quick reference, the key factor remains:
and the reverse factor is:
These verified factors make it possible to convert values consistently between customary and metric flow-rate measurements.
How to Convert Cubic feet per hour to Litres per hour
To convert Cubic feet per hour (ft$^3$/h) to Litres per hour (l/h), multiply the flow rate by the conversion factor between cubic feet and litres. Since the time unit is already “per hour” on both sides, only the volume unit changes.
-
Write the conversion factor:
Use the known relationship between cubic feet and litres: -
Set up the conversion formula:
Multiply the given value in ft$^3$/h by the conversion factor: -
Substitute the given value:
For : -
Calculate the result:
Perform the multiplication: -
Result:
If you are converting many values, keep the factor handy for quick multiplication. Always double-check that both rates use the same time unit before converting.
Cubic feet per hour to Litres per hour conversion table
| Cubic feet per hour (ft3/h) | Litres per hour (l/h) |
|---|---|
| 0 | 0 |
| 1 | 28.316831998815 |
| 2 | 56.633663997629 |
| 3 | 84.950495996444 |
| 4 | 113.26732799526 |
| 5 | 141.58415999407 |
| 6 | 169.90099199289 |
| 7 | 198.2178239917 |
| 8 | 226.53465599052 |
| 9 | 254.85148798933 |
| 10 | 283.16831998815 |
| 15 | 424.75247998222 |
| 20 | 566.33663997629 |
| 25 | 707.92079997036 |
| 30 | 849.50495996444 |
| 40 | 1132.6732799526 |
| 50 | 1415.8415999407 |
| 60 | 1699.0099199289 |
| 70 | 1982.178239917 |
| 80 | 2265.3465599052 |
| 90 | 2548.5148798933 |
| 100 | 2831.6831998815 |
| 150 | 4247.5247998222 |
| 200 | 5663.3663997629 |
| 250 | 7079.2079997036 |
| 300 | 8495.0495996444 |
| 400 | 11326.732799526 |
| 500 | 14158.415999407 |
| 600 | 16990.099199289 |
| 700 | 19821.78239917 |
| 800 | 22653.465599052 |
| 900 | 25485.148798933 |
| 1000 | 28316.831998815 |
| 2000 | 56633.663997629 |
| 3000 | 84950.495996444 |
| 4000 | 113267.32799526 |
| 5000 | 141584.15999407 |
| 10000 | 283168.31998815 |
| 25000 | 707920.79997036 |
| 50000 | 1415841.5999407 |
| 100000 | 2831683.1998815 |
| 250000 | 7079207.9997036 |
| 500000 | 14158415.999407 |
| 1000000 | 28316831.998815 |
What is Cubic feet per hour?
Cubic feet per hour (CFH) is a unit used to measure the volumetric flow rate. It represents the volume of a substance (gas or liquid) that passes through a specific area per hour, measured in cubic feet. It's a common unit in various fields, especially when dealing with gas and air flow.
Definition of Cubic Feet per Hour
Cubic feet per hour (CFH) is defined as the volume of a substance, measured in cubic feet, that flows past a point in one hour.
How CFH is Formed
CFH is derived from the basic units of volume (cubic feet) and time (hour). It directly expresses how many cubic feet of a substance move within one hour. No special law or constant is specifically tied to the definition of CFH itself. It is a direct measure of flow rate, useful in practical applications.
Calculating Volume Flow Rate
The volume flow rate (Q) in cubic feet per hour can be determined using the following formula:
Where:
- = Volume flow rate (ft³/hour)
- = Cross-sectional area of the flow (ft²)
- = Average velocity of the flow (ft/hour)
Another way to calculate it is:
Where:
- = Volume flow rate (ft³/hour)
- = Volume (ft³)
- = Time (hours)
Real-World Examples of CFH
- Natural Gas Consumption: Home appliances like furnaces, water heaters, and stoves are rated in terms of CFH to indicate their natural gas consumption. A typical furnace might consume 80-120 CFH of natural gas.
- HVAC Systems: Air conditioning and ventilation systems use CFH to measure the airflow rate in ductwork. A residential HVAC system might require airflow rates between 400 and 1600 CFH, depending on the size of the home.
- Compressed Air Systems: Pneumatic tools and equipment in factories use compressed air. The compressor output is often rated in CFH or cubic feet per minute (CFM, which can easily be converted to CFH by multiplying by 60) to indicate the volume of air it can supply.
- Industrial Processes: Many industrial processes, such as chemical manufacturing or food processing, involve controlling the flow rate of liquids or gases. CFH can be used to specify the desired flow rate of a particular fluid. For example, a chemical reactor might require a flow of 50 CFH of nitrogen gas.
- Ventilation Systems: Exhaust fans in bathrooms or kitchens are often rated in CFM (cubic feet per minute), which can be converted to CFH. A typical bathroom exhaust fan might be rated at 50-100 CFM, which equals 3000-6000 CFH.
What is litres per hour?
Litres per hour (L/h) is a common unit for measuring the rate at which a volume of liquid flows. Understanding its meaning and applications can be helpful in various fields.
Understanding Litres per Hour (L/h)
Litres per hour (L/h) is a unit of volume flow rate. It indicates the volume of liquid, measured in litres, that passes a specific point in one hour. In simpler terms, it tells you how many litres of a substance are moving per hour.
Formation of the Unit
The unit is formed by combining two fundamental units:
- Litre (L): A metric unit of volume, defined as the volume of one kilogram of pure water at its maximum density (approximately 4°C).
- Hour (h): A unit of time, equal to 60 minutes or 3600 seconds.
Therefore, 1 L/h means that one litre of a substance flows past a point in one hour.
Formula and Calculation
The flow rate () in litres per hour can be calculated using the following formula:
Where:
- = Flow rate (L/h)
- = Volume (L)
- = Time (h)
Real-World Examples
Litres per hour are used in many practical applications.
- Water Usage: A household might use 500 L/h when all taps, showers, and appliances are running at once.
- Medical Infusion: An IV drip might deliver medication at a rate of 0.1 L/h.
- Fuel Consumption: A car might consume 5 L/h of fuel while idling.
- Industrial Processes: A chemical plant might pump reactants at a rate of 2000 L/h into a reactor.
- HVAC System: Condensate from a home air conditioner might drain at a rate of 1 L/h on a humid day.
Interesting Facts and Connections
While there isn't a specific "law" directly associated with litres per hour, the concept of flow rate is central to fluid dynamics, which is governed by laws like the Navier-Stokes equations. These equations describe the motion of viscous fluids and are fundamental in engineering and physics.
Conversion
Often, you might need to convert between L/h and other flow rate units. Here are some common conversions:
- 1 L/h = 0.001 /h (cubic meters per hour)
- 1 L/h ≈ 0.264 US gallons per hour
Frequently Asked Questions
What is the formula to convert Cubic feet per hour to Litres per hour?
To convert Cubic feet per hour to Litres per hour, multiply the flow rate in ft$^3$/h by the verified factor . The formula is . This gives the equivalent volume flow rate in litres per hour.
How many Litres per hour are in 1 Cubic foot per hour?
There are exactly l/h in ft$^3$/h. This value comes directly from the verified conversion factor. It is useful as the base reference for all ft$^3$/h to l/h conversions.
Why would I convert Cubic feet per hour to Litres per hour?
This conversion is common when comparing flow rates across systems that use different measurement standards. For example, HVAC, gas flow, water treatment, and laboratory equipment may list capacity in either ft$^3$/h or l/h. Converting helps ensure specifications match correctly.
How do I convert a larger flow rate from ft3/h to l/h?
Multiply the number of Cubic feet per hour by . For example, if a device is rated in ft$^3$/h, applying gives the equivalent litre-per-hour value. This method works for any positive flow rate.
Is Cubic feet per hour the same as Litres per hour?
No, they are different units of volumetric flow rate. Cubic feet per hour is based on imperial or US customary volume units, while Litres per hour uses the metric system. They measure the same type of quantity, but with different unit sizes.
When should I use Litres per hour instead of Cubic feet per hour?
Litres per hour is often preferred in metric-based industries, product datasheets, and international technical documentation. It can also be easier to interpret for smaller liquid or gas flow rates. Using l/h improves consistency when working with other metric units.