Cubic feet per hour to Decilitres per second conversion

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

To convert from cubic feet per hour (ft³/hr) to decilitres per second (dL/s), we need to follow a series of unit conversions.

1. Convert cubic feet to cubic meters.
2. Convert cubic meters to liters.
3. Convert liters to deciliters.
4. Convert hours to seconds.

Let's break it down step by step:

1. Convert cubic feet to cubic meters: $1 \text{ cubic foot} = 0.0283168466 \text{ cubic meters (m³)}$ So, for 1 ft³: $1 \text{ ft}³/hr \times 0.0283168466 \text{ m}³/\text{ft}³ = 0.0283168466 \text{ m}³/hr$

2. Convert cubic meters to liters: $1 \text{ cubic meter} = 1000 \text{ liters (L)}$ So: $0.0283168466 \text{ m}³/hr \times 1000 \text{ L/m}³ = 28.3168466 \text{ L/hr}$

3. Convert liters to deciliters: $1 \text{ liter} = 10 \text{ deciliters (dL)}$ So: $28.3168466 \text{ L/hr} \times 10 \text{ dL/L} = 283.168466 \text{ dL/hr}$

4. Convert hours to seconds: $1 \text{ hour} = 3600 \text{ seconds}$ So: $283.168466 \text{ dL/hr} \div 3600 \text{ s/hr} = 0.0786579072 \text{ dL/s}$

Therefore, 1 cubic foot per hour is approximately 0.07866 decilitres per second when rounded to five significant figures.

Real-World Examples for Other Quantities of Cubic Feet Per Hour:

1. 10 Cubic Feet per Hour: $10 \text{ ft}³/hr \times 0.07866 \text{ dL/s per ft}³/hr = 0.7866 \text{ dL/s}$ Example: A small ventilation system in a room might operate around 10 ft³/hr.

2. 100 Cubic Feet per Hour: $100 \text{ ft}³/hr \times 0.07866 \text{ dL/s per ft}³/hr = 7.866 \text{ dL/s}$ Example: A residential air conditioning unit might have a flow rate in this range.

3. 1000 Cubic Feet per Hour: $1000 \text{ ft}³/hr \times 0.07866 \text{ dL/s per ft}³/hr = 78.66 \text{ dL/s}$ Example: A commercial HVAC system in a small office building might operate at this rate.

4. 5000 Cubic Feet per Hour: $5000 \text{ ft}³/hr \times 0.07866 \text{ dL/s per ft}³/hr = 393.3 \text{ dL/s}$ Example: A large industrial exhaust fan or a ventilation system in a warehouse could approach this flow rate.

These conversions and examples illustrate how different flow rates can be represented in both cubic feet per hour and decilitres per second, demonstrating the flexibility and utility of these measures in various practical scenarios.