Gallons per hour to Cubic kilometers per second conversion

How to convert gallons per hour to cubic kilometers per second?

To convert gallons per hour (GPH) to cubic kilometers per second (km³/s), you'll need to understand the relationships between these units. Here, I'll take you through the process step-by-step:

1. Understand the relationship between gallons and cubic kilometers:

   • 1 U.S. gallon is approximately 3.78541 liters.
   • 1 liter is 0.001 cubic meters (m³).
   • 1 cubic kilometer is $10^9$ cubic meters (m³).

2. Convert 1 gallon to cubic meters: $1 \text{ gallon} = 3.78541 \text{ liters} = 3.78541 \times 0.001 \text{ cubic meters} = 0.00378541 \text{ m³}$

3. Convert cubic meters to cubic kilometers: $0.00378541 \text{ m³} \times (1 \text{ km} / 10^9 \text{ m})^3 = 0.00378541 \times 10^{-9} \text{ km³} = 3.78541 \times 10^{-12} \text{ km³}$

So, $1 \text{ gallon} = 3.78541 \times 10^{-12} \text{ km³}$.

4. Convert gallons per hour to cubic kilometers per second:

   • There are 3600 seconds in an hour.
   • Thus, dividing by 3600 will convert the volume flow rate from per hour to per second.

   $1 \text{ GPH} = 3.78541 \times 10^{-12} \text{ km³/h} \div 3600 \text{ s/h} = 1.051503 \times 10^{-15} \text{ km³/s}$

So, 1 gallon per hour (GPH) is equivalent to approximately $1.051503 \times 10^{-15}$ cubic kilometers per second (km³/s).

Real-World Examples of Gallons per Hour:

1. Garden Hose: A typical garden hose might have a flow rate of about 180 GPH. This means it would dispense water at 180 gallons every hour.

2. Car Fuel Consumption: A car's fuel consumption might be around 20 GPH when driving on a highway, which indicates it uses 20 gallons of fuel per hour.

3. Aquarium Filter: An aquarium filter might have a flow rate of 300 GPH to ensure proper water circulation.

4. Cooling Systems in Data Centers: Large cooling systems used in data centers can have flow rates of several thousand GPH, depending on the size and requirements of the facility.

By understanding these examples and converting units, you can appreciate how flow rates in GPH can relate to different real-world applications and their scales.