Litres per hour to Decilitres per second conversion

How to convert litres per hour to decilitres per second?

To convert from litres per hour (L/h) to decilitres per second (dL/s), we need to understand the relationships between the units involved:

1 litre (L) = 10 decilitres (dL) 1 hour (h) = 3600 seconds (s)

Given these conversions, we can set up a conversion factor. Let's go through the conversion step by step for 1 litre per hour:

1. Start with the volume flow rate in litres per hour:

$1 \text{ L/h}$

2. Convert litres to decilitres:

$1 \text{ L/h} \times 10 \text{ dL/L} = 10 \text{ dL/h}$

3. Convert hours to seconds:

$10 \text{ dL/h} \div 3600 \text{ s/h} = \frac{10 \text{ dL}}{3600 \text{ s}}$

4. Simplify the fraction:

$\frac{10}{3600} \text{ dL/s} = \frac{1}{360} \text{ dL/s}$

So, 1 litre per hour is equal to $\frac{1}{360}$ decilitres per second, or approximately $0.00278$ decilitres per second.

Real-World Examples for Other Quantities of Litres per Hour

1. Home Water Usage:

• Average Shower: An average showerhead may use around 9 litres per minute. Convert that to litres per hour: $9 \text{ L/min} \times 60 \text{ min/h} = 540 \text{ L/h}$ Converting 540 L/h to dL/s: $540 \text{ L/h} = 5400 \text{ dL/h}$ $5400 \text{ dL/h} \div 3600 \text{ s/h} = 1.5 \text{ dL/s}$

2. Aquarium Filter:

• Small Aquarium Filter: A small aquarium filter might have a flow rate of 200 litres per hour. Converting 200 L/h to dL/s: $200 \text{ L/h} = 2000 \text{ dL/h}$ $2000 \text{ dL/h} \div 3600 \text{ s/h} = \frac{2000}{3600} \text{ dL/s} = \frac{5}{9} \text{ dL/s} \approx 0.556 \text{ dL/s}$

3. Car Fuel Consumption:

• Eco-Friendly Car: An eco-friendly car might have a fuel consumption of 5 L/100 km. If the car travels at 100 km/h: $5 \text{ L/100 km} \times 1 \text{ hour/100 km} = 5 \text{ L/h}$ Converting 5 L/h to dL/s: $5 \text{ L/h} = 50 \text{ dL/h}$ $50 \text{ dL/h} \div 3600 \text{ s/h} = \frac{50}{3600} \text{ dL/s} = \frac{5}{360} \text{ dL/s} \approx 0.0139 \text{ dL/s}$

These examples illustrate how to convert litres per hour into decilitres per second and demonstrate the wide range of applications for understanding volume flow rates in everyday contexts.