Cubic inches per hour to Decilitres per second conversion

How to convert cubic inches per hour to decilitres per second?

To convert from cubic inches per hour (in³/hr) to deciliters per second (dL/s), you need to follow a set sequence of unit conversions:

1. Convert cubic inches to cubic centimeters.
2. Convert cubic centimeters to liters.
3. Convert liters to deciliters.
4. Convert hours to seconds.

Let's break down each step:

1. Convert cubic inches to cubic centimeters: 1 cubic inch = 16.387064 cubic centimeters (cm³) So, 1 in³ = 16.387064 cm³

2. Convert cubic centimeters to liters: 1 liter (L) = 1000 cubic centimeters (cm³) So, 1 cm³ = 0.001 L

3. Convert liters to deciliters: 1 liter (L) = 10 deciliters (dL) So, 1 L = 10 dL

4. Convert hours to seconds: 1 hour = 3600 seconds

Now we put it all together:

$\text{Conversion from} \, \text{cubic inches per hour to deciliters per second}$

$1 \, \text{in³/hr} \times \frac{16.387064 \, \text{cm³}}{1 \, \text{in³}} \times \frac{0.001 \, \text{L}}{1 \, \text{cm³}} \times \frac{10 \, \text{dL}}{1 \, \text{L}} \times \frac{1 \, \text{hr}}{3600 \, \text{seconds}}$

$= 1 \times 16.387064 \times 0.001 \times 10 \times \frac{1}{3600}$

$= \frac{16.387064 \times 0.01}{3600}$

$= \frac{0.16387064}{3600}$

$= 0.00004551962 \, \text{dL/s}$

So, 1 cubic inch per hour is approximately 0.00004552 deciliters per second.

Real World Examples

To give you other quantities and their conversion from cubic inches per hour to deciliters per second:

Example 1: 10 in³/hr $10 \times 0.00004552 \, \text{dL/s} = 0.0004552 \, \text{dL/s}$

Example 2: 100 in³/hr $100 \times 0.00004552 \, \text{dL/s} = 0.004552 \, \text{dL/s}$

Example 3: 1000 in³/hr $1000 \times 0.00004552 \, \text{dL/s} = 0.04552 \, \text{dL/s}$

Real World Application Examples

• Water Flow in Small Systems: A water flow rate of 10 cubic inches per hour (0.0004552 dL/s) might be encountered in small-scale irrigation systems or laboratory setups where precise water flow control is necessary.

• Medical Infusion: In medical applications, infusion rates for specific drugs or fluids could be in the range of a few cubic inches per hour. For example, an infusion rate of 5 cubic inches per hour (0.0002276 dL/s).

• Microfluidic Devices: In microfluidic devices used in scientific research, very small flow rates on the order of cubic inches per hour are common. For instance, 1 in³/hr flow rate is often seen in experimental setups.

These conversions and examples give you a practical perspective on how small a cubic inch per hour is when converted to a more commonly used unit like deciliters per second.