2. Calculate the effective dilution. You were given a sample which contained 5.5mL of bacterial culture. You added 10uL of phage solution to the culture. What was the effective dilution produced by the addition of the phage solution?

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### Problem Statement

**Calculate the Effective Dilution:**
You were given a sample that contained 5.5 mL of bacterial culture. You added 10 μL of phage solution to the culture. What was the effective dilution produced by the addition of the phage solution?

### Explanation 

To determine the effective dilution, you need to calculate the total volume and then find the ratio of the original phage solution volume to this total volume.

1. **Volume of Bacterial Culture:** 5.5 mL
2. **Volume of Phage Solution Added:** 10 μL (convert to mL: 0.01 mL)

**Total Volume:**
\[ 
5.5 \, \text{mL} + 0.01 \, \text{mL} = 5.51 \, \text{mL} 
\]

**Effective Dilution Formula:**
\[ 
\text{Dilution} = \frac{\text{Volume of Phage Solution}}{\text{Total Volume}} = \frac{0.01}{5.51} 
\]

**Calculation:**
\[ 
\text{Effective Dilution} = \frac{0.01}{5.51} \approx 0.001815 \, \text{(1 in 551)} 
\]

Therefore, the effective dilution of the phage solution is approximately 1:551.
Transcribed Image Text:### Problem Statement **Calculate the Effective Dilution:** You were given a sample that contained 5.5 mL of bacterial culture. You added 10 μL of phage solution to the culture. What was the effective dilution produced by the addition of the phage solution? ### Explanation To determine the effective dilution, you need to calculate the total volume and then find the ratio of the original phage solution volume to this total volume. 1. **Volume of Bacterial Culture:** 5.5 mL 2. **Volume of Phage Solution Added:** 10 μL (convert to mL: 0.01 mL) **Total Volume:** \[ 5.5 \, \text{mL} + 0.01 \, \text{mL} = 5.51 \, \text{mL} \] **Effective Dilution Formula:** \[ \text{Dilution} = \frac{\text{Volume of Phage Solution}}{\text{Total Volume}} = \frac{0.01}{5.51} \] **Calculation:** \[ \text{Effective Dilution} = \frac{0.01}{5.51} \approx 0.001815 \, \text{(1 in 551)} \] Therefore, the effective dilution of the phage solution is approximately 1:551.
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