Decilitres per second to Gallons per minute conversion

How to convert decilitres per second to gallons per minute?

Sure, let's go through the conversion process step by step.

Conversion Process

1. Identify the conversion factors:

   • 1 liter (L) = 10 deciliters (dL)
   • 1 gallon (US) ≈ 3.78541 liters
   • 1 minute = 60 seconds

2. Convert decilitres per second to liters per second:

   Since 1 liter = 10 deciliters, 1 deciliter = 0.1 liter.

   Therefore: $1 \text{ dL/s} = 0.1 \text{ L/s}$

3. Convert liters per second to liters per minute:

   There are 60 seconds in a minute: $0.1 \text{ L/s} \times 60 \text{ s/min} = 6 \text{ L/min}$

4. Convert liters per minute to gallons per minute:

   Using the conversion factor: $1 \text{ gallon} \approx 3.78541 \text{ liters}$ So: $6 \text{ L/min} \div 3.78541 \text{ L/gallon} \approx 1.585 \text{ gallons/min}$

   Thus, 1 dL/s ≈ 1.585 gallons per minute (gpm).

Other Real World Examples

Let’s consider other quantities of decilitres per second:

Example 1: 2 dL/s

1. Convert to liters per second: $2 \text{ dL/s} \times 0.1 = 0.2 \text{ L/s}$

2. Convert to liters per minute: $0.2 \text{ L/s} \times 60 = 12 \text{ L/min}$

3. Convert to gallons per minute: $12 \text{ L/min} \div 3.78541 \approx 3.17 \text{ gpm}$

Example 2: 0.5 dL/s

1. Convert to liters per second: $0.5 \text{ dL/s} \times 0.1 = 0.05 \text{ L/s}$

2. Convert to liters per minute: $0.05 \text{ L/s} \times 60 = 3 \text{ L/min}$

3. Convert to gallons per minute: $3 \text{ L/min} \div 3.78541 \approx 0.792 \text{ gpm}$

Example 3: 10 dL/s

1. Convert to liters per second: $10 \text{ dL/s} \times 0.1 = 1 \text{ L/s}$

2. Convert to liters per minute: $1 \text{ L/s} \times 60 = 60 \text{ L/min}$

3. Convert to gallons per minute: $60 \text{ L/min} \div 3.78541 \approx 15.85 \text{ gpm}$

Summary

• 1 dL/s ≈ 1.585 gallons/min
• 2 dL/s ≈ 3.17 gallons/min
• 0.5 dL/s ≈ 0.792 gallons/min
• 10 dL/s ≈ 15.85 gallons/min

These calculations should help you understand the conversion from decilitres per second to gallons per minute and provide context with real-world examples.