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What is the volume (in cubic feet) of a mixing basin designed to hold a flow of 2.7 MGD (million gallons per day) for 6.2 minutes if the flow is split into 3 treatment trains?

Answer :

Answer:

To calculate the volume of the mixing basin, we need to find the total volume of water that flows through it during the given time period. The flow rate is given in Million Gallons per Day (MGD), and the time is given in minutes.

First, we need to convert the flow rate to cubic feet per minute (CFM) since the time is given in minutes:

1 MGD = 1.54723 CFM

So, the flow rate of 2.7 MGD is equal to:

2.7 MGD * 1.54723 CFM/MGD = 4.178871 CFM

Now, we can calculate the total volume of water that flows through the mixing basin:

Flow rate (CFM) * Time (minutes) = Volume (cubic feet)

4.178871 CFM * 6.2 minutes = 25.8756 cubic feet

Since the flow is split into 3 treatment trains, the total volume of the mixing basin would be the sum of the volumes for each treatment train:

Total Volume = Volume per treatment train * Number of treatment trains

Total Volume = 25.8756 cubic feet * 3 = 77.6268 cubic feet

So, the volume of the mixing basin is approximately 77.6268 cubic feet.

Explanation:

The mixing basin, designed to hold a flow of 2.7 MGD (million gallons per day) for 6.2 minutes and split into 3 treatment trains, would have a volume of approximately 501.12 cubic feet per treatment train.

The volume of a basin can be calculated with the flow rate and the desired detention time.

Since the flow rate is given in MGD (Million Gallons per Day), and the time is given in minutes, we need to convert these units to make them compatible.

Since 1 MGD is equivalent to approximately 1.547 cubic feet per second, 2.7 MGD would be equal to 2.7 * 1.547 = 4.176 cubic feet per second.

Also, six minutes is equivalent to 360 seconds. To calculate the total volume, we can multiply the flow rate by the time.

This gives us 4.176 cubic feet per second * 360 seconds = 1503.36 cubic feet.

Since the question shared that the flow is split into three treatment trains, this total volume will be shared between them.

Each treatment train will hold 1503.36 cubic feet / 3 = 501.12 cubic feet.

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