A sewer line has a flow rate of 1.47 MGD (million gallons per day). Convert to cfs (cubic feet per second). 1 cubic foot = 7.48.
The Correct Answer and Explanation is:
To convert 1.47 million gallons per day (MGD) to cubic feet per second (cfs), we follow these steps:
Step 1: Convert gallons to cubic feet
Since 1 cubic foot equals 7.48 gallons, we can first convert gallons to cubic feet using the formula:Cubic feet=Gallons7.48\text{Cubic feet} = \frac{\text{Gallons}}{7.48}Cubic feet=7.48Gallons
Step 2: Convert MGD to gallons per second (GPS)
1.47 MGD means 1.47 million gallons per day. To convert this to gallons per second, we first need to convert days to seconds.
- There are 24 hours in a day, and 60 minutes in an hour, so there are 24×60×60=86,40024 \times 60 \times 60 = 86,40024×60×60=86,400 seconds in a day.
Now, we convert MGD to gallons per second:Gallons per second (GPS)=1,470,000 gallons86,400 seconds=17 gallons per second\text{Gallons per second (GPS)} = \frac{1,470,000 \text{ gallons}}{86,400 \text{ seconds}} = 17 \text{ gallons per second}Gallons per second (GPS)=86,400 seconds1,470,000 gallons=17 gallons per second
Step 3: Convert gallons per second to cubic feet per second
Now, we convert gallons per second to cubic feet per second:Cubic feet per second (cfs)=Gallons per second7.48\text{Cubic feet per second (cfs)} = \frac{\text{Gallons per second}}{7.48}Cubic feet per second (cfs)=7.48Gallons per secondcfs=177.48≈2.27 cubic feet per second\text{cfs} = \frac{17}{7.48} \approx 2.27 \text{ cubic feet per second}cfs=7.4817≈2.27 cubic feet per second
Final Answer:
1.47 MGD is approximately 2.27 cfs.
Explanation:
To perform this conversion, we used a multi-step process. We started by converting gallons to cubic feet (since the given conversion factor was for gallons to cubic feet). Then, we converted the flow rate from gallons per day to gallons per second and finally from gallons per second to cubic feet per second. This is a typical way to convert flow rates between different units in hydrology and water treatment calculations.
