Cubic Centimeters per second (cm³/s) to Litres per hour (l/h) conversion

Understanding the conversion between cubic centimeters per second and liters per hour involves recognizing the relationships between volume and time units. Here’s how to perform these conversions:

Conversion Fundamentals

The key to converting between these units lies in understanding their relationships:

• 1 liter (L) = 1000 cubic centimeters ($cm^3$)
• 1 hour = 3600 seconds

Converting Cubic Centimeters per Second to Liters per Hour

To convert from cubic centimeters per second ($cm^3/s$) to liters per hour (L/h), follow these steps:

1. Convert Cubic Centimeters to Liters: Since 1 L = 1000 $cm^3$, divide the value in $cm^3$ by 1000 to get the equivalent in liters.

2. Convert Seconds to Hours: Since 1 hour = 3600 seconds, multiply the value in liters per second by 3600 to get the equivalent in liters per hour.

Combining these steps into a single formula:

$$\text{L/h} = \frac{cm^3}{s} \times \frac{1 L}{1000 cm^3} \times \frac{3600 s}{1 h}$$

Simplifying the equation:

$$\text{L/h} = \frac{cm^3}{s} \times 3.6$$

Therefore, to convert 1 $cm^3/s$ to L/h:

$$1 \frac{cm^3}{s} = 1 \times 3.6 = 3.6 \text{ L/h}$$

Converting Liters per Hour to Cubic Centimeters per Second

To convert from liters per hour (L/h) to cubic centimeters per second ($cm^3/s$), reverse the process:

1. Convert Liters to Cubic Centimeters: Since 1 L = 1000 $cm^3$, multiply the value in liters by 1000 to get the equivalent in $cm^3$.

2. Convert Hours to Seconds: Since 1 hour = 3600 seconds, divide the value in $cm^3$ per hour by 3600 to get the equivalent in $cm^3$ per second.

Combining these steps into a single formula:

$$\frac{cm^3}{s} = \frac{L}{h} \times \frac{1000 cm^3}{1 L} \times \frac{1 h}{3600 s}$$

Simplifying the equation:

$$\frac{cm^3}{s} = \frac{L}{h} \div 3.6$$

Therefore, to convert 1 L/h to $cm^3/s$:

$$1 \frac{L}{h} = 1 \div 3.6 \approx 0.2778 \frac{cm^3}{s}$$

Applications and Examples

Volume flow rate conversions are essential in various fields, including:

• Medical Science: Calculating intravenous (IV) drip rates.
• Engineering: Determining the flow of liquids in pipes.
• Environmental Science: Measuring river flow rates.

Examples:

1. IV Drip Rate:

   • If a doctor prescribes an IV fluid to be administered at 150 L/h, what is the equivalent in $cm^3/s$?

     $$150 \frac{L}{h} = 150 \div 3.6 \approx 41.67 \frac{cm^3}{s}$$

2. River Flow Rate:

   • If a small stream flows at a rate of 500 $cm^3/s$, what is its flow rate in L/h?

     $$500 \frac{cm^3}{s} = 500 \times 3.6 = 1800 \frac{L}{h}$$

Historical Context

While there isn't a specific law or person directly associated with this particular conversion, the concepts of volume measurement date back to ancient civilizations. The standardization of metric units, including liters and cubic centimeters, occurred during the French Revolution, which aimed to create a universal system of measurement based on decimal units. This standardization facilitated trade, science, and engineering across different regions and cultures.

Further Reading

• University of Central Florida - Flow Rate and its Relation to Velocity

How to Convert Cubic Centimeters per second to Litres per hour

To convert Cubic Centimeters per second to Litres per hour, use the conversion factor between these two volume flow rate units. For this example, multiply the value in cm3/s by $3.6$ to get l/h.

1. Write the conversion factor:
   The given factor is:

   $$1 \text{ cm}^3/\text{s} = 3.6 \text{ l/h}$$

2. Set up the conversion:
   Start with the input value and multiply by the factor:

   $$25 \text{ cm}^3/\text{s} \times 3.6 \frac{\text{l/h}}{\text{cm}^3/\text{s}}$$

3. Calculate the result:
   Multiply the numbers:

   $$25 \times 3.6 = 90$$

4. Result:

   $$25 \text{ cm}^3/\text{s} = 90 \text{ l/h}$$

If you are converting other values, use the same method: multiply the number of cm3/s by $3.6$. A quick check is that a larger cm3/s value should always give a larger l/h value.

What is the formula to convert Cubic Centimeters per second to Litres per hour?

To convert Cubic Centimeters per second to Litres per hour, multiply the flow rate by the verified factor $3.6$.
The formula is: $l/h = cm^3/s \times 3.6$.

How many Litres per hour are in 1 Cubic Centimeter per second?

There are $3.6$ Litres per hour in $1 \, cm^3/s$.
This comes directly from the verified conversion: $1 \, cm^3/s = 3.6 \, l/h$.

Why do I need to convert cm3/s to l/h?

This conversion is useful when comparing flow rates across different systems, datasheets, or measurement standards.
Many technical devices list small flow rates in $cm^3/s$, while operational reports and equipment specs often use $l/h$.

Where is cm3/s to l/h conversion used in real life?

It is commonly used in pumps, fuel systems, laboratory equipment, irrigation, and fluid dosing applications.
For example, a device measured in $cm^3/s$ may need to be expressed in $l/h$ for maintenance records or manufacturer specifications.

Can I convert decimal values from cm3/s to l/h?

Yes, decimal values convert the same way by using the factor $3.6$.
For instance, any value in $cm^3/s$ can be multiplied by $3.6$ to get the equivalent value in $l/h$.

Is Cubic Centimeters per second a smaller unit than Litres per hour?

Yes, $cm^3/s$ is typically used for smaller, more precise flow measurements, while $l/h$ is often easier to read for hourly output.
Using the verified relation $1 \, cm^3/s = 3.6 \, l/h$ helps present the same flow rate in a more practical unit.