Cubic meters per second to Litres per hour conversion

How to convert cubic meters per second to litres per hour?

Certainly! To convert from cubic meters per second (m³/s) to liters per hour (L/hr), you need to use the following conversions:

1. A cubic meter is equivalent to 1,000 liters.
2. An hour has 3,600 seconds.

Thus, 1 cubic meter per second is: $1\, \text{m}^3/\text{s} \times 1,000\, \text{L}/\text{m}^3 = 1,000\, \text{L}/\text{s}$

Next, convert liters per second to liters per hour: $1,000\, \text{L}/\text{s} \times 3,600\, \text{s}/\text{hr} = 3,600,000\, \text{L}/\text{hr}$

So, 1 cubic meter per second is equal to 3,600,000 liters per hour.

Other Examples of Conversion

1. 0.5 Cubic meters per second (m³/s) $0.5\, \text{m}^3/\text{s} \times 3,600,000\, \text{L}/\text{m}^3/\text{s} = 1,800,000\, \text{L}/\text{hr}$

2. 2.5 Cubic meters per second (m³/s) $2.5\, \text{m}^3/\text{s} \times 3,600,000\, \text{L}/\text{m}^3/\text{s} = 9,000,000\, \text{L}/\text{hr}$

Real-World Examples

1. River Flow Rates:

   • Small rivers might have a flow rate of around 5 cubic meters per second.
   • This would be: $5\, \text{m}^3/\text{s} \times 3,600,000\, \text{L}/\text{m}^3/\text{s} = 18,000,000\, \text{L}/\text{hr}$

2. Water Treatment Plants:

   • Large facilities might process about 10 cubic meters per second.
   • This would be: $10\, \text{m}^3/\text{s} \times 3,600,000\, \text{L}/\text{m}^3/\text{s} = 36,000,000\, \text{L}/\text{hr}$

3. Fire Hydrants:

   • Fire hydrants might release water at a flow rate of around 0.05 cubic meters per second.
   • This would be: $0.05\, \text{m}^3/\text{s} \times 3,600,000\, \text{L}/\text{m}^3/\text{s} = 180,000\, \text{L}/\text{hr}$

These conversions and examples help you understand how volume flow rates in cubic meters per second translate into more commonly used units like liters per hour, and how these flow rates apply to real-world scenarios.