The following dissolved-oxygen values were found after 5 days of incubation in 305-mL BOD bottles: 8.2, 8.0, and 8.1 in three blank samples and 7.4, 6.5, 4.9, 1.5, and 0.0 mg/L in bottles containing 0.5, 1, 2, 4, and 8 mL of sample, respectively. The 0-day dissolved oxygen of the sample was 6.5 mg/L. What is the 5-day BOD of the sample?   Why in the solution he did do only the two samples, 2 milliliters, and 4 milliliters?

Structural Analysis
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23.23 The following dissolved-oxygen values were found after 5 days of incubation in 305-mL BOD bottles: 8.2, 8.0, and 8.1 in three blank samples and 7.4, 6.5, 4.9, 1.5, and 0.0 mg/L in bottles containing 0.5, 1, 2, 4, and 8 mL of sample, respectively. The 0-day dissolved oxygen of the sample was 6.5 mg/L. What is the 5-day BOD of the sample?

 

Why in the solution he did do only the two samples, 2 milliliters, and 4 milliliters?

 

And if you have another solution for the same question that would be great.

### Calculation of 5-Day Biological Oxygen Demand (BOD₅)

1. **Initial BOD Reading (B₁):**

   \[
   B_1 = \frac{8.2 + 8.0 + 8.1}{3} = 8.1 \, \text{mg/L}
   \]

   Due to depletion in 0.5 ml and 1 ml samples being sufficient (mg/L), the depletion in the 8 ml sample is too large. Therefore, only two samples are used:

2. **BOD Calculations for Samples:**

   - **BOD₅ for 2 ml Sample:**

     \[
     \text{BOD}_5(2\, \text{ml}) = \frac{8.1 - 4.9}{\left(\frac{2}{305}\right)} = 488 \, \text{mg/L}
     \]

   - **BOD₅ for 4 ml Sample:**

     \[
     \text{BOD}_5(4\, \text{ml}) = \frac{8.1 - 1.5}{\left(\frac{4}{305}\right)} = 503 \, \text{mg/L}
     \]

3. **Average BOD Calculation:**

   Using the average of the two acceptable values:

   \[
   \text{BOD}_5 = \frac{488 + 503}{2} = 496 \, \text{mg/L}
   \]

4. **Final Result:**

   The 5-day BOD of the sample is **496 mg/L**.

This calculation provides the BOD level, indicating the amount of dissolved oxygen needed by aerobic organisms to break down organic material in water over a period of five days.
Transcribed Image Text:### Calculation of 5-Day Biological Oxygen Demand (BOD₅) 1. **Initial BOD Reading (B₁):** \[ B_1 = \frac{8.2 + 8.0 + 8.1}{3} = 8.1 \, \text{mg/L} \] Due to depletion in 0.5 ml and 1 ml samples being sufficient (mg/L), the depletion in the 8 ml sample is too large. Therefore, only two samples are used: 2. **BOD Calculations for Samples:** - **BOD₅ for 2 ml Sample:** \[ \text{BOD}_5(2\, \text{ml}) = \frac{8.1 - 4.9}{\left(\frac{2}{305}\right)} = 488 \, \text{mg/L} \] - **BOD₅ for 4 ml Sample:** \[ \text{BOD}_5(4\, \text{ml}) = \frac{8.1 - 1.5}{\left(\frac{4}{305}\right)} = 503 \, \text{mg/L} \] 3. **Average BOD Calculation:** Using the average of the two acceptable values: \[ \text{BOD}_5 = \frac{488 + 503}{2} = 496 \, \text{mg/L} \] 4. **Final Result:** The 5-day BOD of the sample is **496 mg/L**. This calculation provides the BOD level, indicating the amount of dissolved oxygen needed by aerobic organisms to break down organic material in water over a period of five days.
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