A plant flow is 3.5 MGD with an aeration tank volume of 1.5 MG and a final tank volume and of 100,000 gal. Solids loading on the system include 3,000 mg/l mixed liquor 8,250 mg/l return sludge with a plant effluent of 10 mg/l. The WAS rate is 65,000 GPD. What is your MCRT? ​



Answer :

To calculate the Mean Cell Residence Time (MCRT), we can use the formula:

\[ MCRT = \frac{V}{Q} \]

Where:

- \( MCRT \) = Mean Cell Residence Time (in days)

- \( V \) = Volume of Aeration Tank (in gallons)

- \( Q \) = Waste Activated Sludge (WAS) flow rate (in gallons per day)

Given:

- Volume of Aeration Tank (\( V \)) = 1.5 million gallons = 1,500,000 gallons

- Waste Activated Sludge (WAS) flow rate (\( Q \)) = 65,000 gallons per day

We can now plug these values into the formula to find the MCRT:

\[ MCRT = \frac{1,500,000 \text{ gallons}}{65,000 \text{ gallons/day}} \]

\[ MCRT = \frac{1,500,000}{65,000} \text{ days} \]

\[ MCRT ≈ 23.08 \text{ days} \]

So, the Mean Cell Residence Time (MCRT) is approximately 23.08 days.

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