Cubic Millimeters per second to Kilolitres per minute conversion

How to convert cubic millimeters per second to kilolitres per minute?

Sure, let's go through the process of converting cubic millimeters per second (mm³/s) to kiloliters per minute (kL/min) step by step.

Conversion Steps

1. Convert Cubic Millimeters to Liters:

   • There are $1,000,000$ cubic millimeters in a liter.
   • Therefore, $1 \text{ mm}^3 = 10^{-6} \text{ L}$.

2. Convert Liters per Second to Liters per Minute:

   • There are 60 seconds in a minute.
   • Therefore, $1 \text{ L/s} = 60 \text{ L/min}$.

3. Convert Liters to Kiloliters:

   • There are 1,000 liters in a kiloliter.
   • Therefore, $1 \text{ L} = 10^{-3} \text{ kL}$.

Calculation

Let's apply these conversions:

1. Start with the given flow rate: $1 \text{ mm}^3/\text{s}$

2. Convert cubic millimeters per second to liters per second: $1 \text{ mm}^3/\text{s} \times 10^{-6} \text{ L}/\text{mm}^3 = 10^{-6} \text{ L}/\text{s}$

3. Convert liters per second to liters per minute: $10^{-6} \text{ L}/\text{s} \times 60 \text{ s}/\text{min} = 6 \times 10^{-5} \text{ L}/\text{min}$

4. Convert liters per minute to kiloliters per minute: $6 \times 10^{-5} \text{ L}/\text{min} \times 10^{-3} \text{ kL}/\text{L} = 6 \times 10^{-8} \text{ kL}/\text{min}$

So, $1 \text{ mm}^3/\text{s}$ is equivalent to $6 \times 10^{-8} \text{ kL}/\text{min}$.

Real-World Examples for Various Flow Rates

Here are examples for other quantities of cubic millimeters per second:

• 10 mm³/s to kL/min: $10 \text{ mm}^3/\text{s} = 10 \times 10^{-6} \text{ L}/\text{s} = 0.6 \times 10^{-5} \text{ L}/\text{min} = 6 \times 10^{-7} \text{ kL}/\text{min}$

• 100 mm³/s to kL/min: $100 \text{ mm}^3/\text{s} = 100 \times 10^{-6} \text{ L}/\text{s} = 6 \times 10^{-5} \text{ L}/\text{min} = 6 \times 10^{-6} \text{ kL}/\text{min}$

• 1,000 mm³/s to kL/min: $1,000 \text{ mm}^3/\text{s} = 1,000 \times 10^{-6} \text{ L}/\text{s} = 0.06 \text{ L}/\text{min} = 6 \times 10^{-5} \text{ kL}/\text{min}$

• 10,000 mm³/s to kL/min: $10,000 \text{ mm}^3/\text{s} = 10,000 \times 10^{-6} \text{ L}/\text{s} = 0.6 \text{ L}/\text{min} = 6 \times 10^{-4} \text{ kL}/\text{min}$

Real-World Contexts

1. Microfluidics:

   • In microfluidic devices used for biomedical applications, the flow rates are usually in the range of 1 to 10 cubic millimeters per second.

2. Inkjet Printers:

   • Inkjet printers eject ink at rates around tens to hundreds of cubic millimeters per second.

3. Industrial Pipelines (Micro Scale):

   • Smaller industrial pipelines transfer liquids at flow rates in the range of thousands to tens of thousands of cubic millimeters per second.

By following these conversion steps, you can convert any given rate in cubic millimeters per second to kiloliters per minute.