7. 5.00 mL of stock solution is diluted to 25.00 mL, producing solution ALPHA. 10.00 mL of solution ALPHA is diluted to 25.00 mL, resulting in solution BETA. 10.00 mL of solution BETA is then diluted to 25.00 mL, producing solution GAMMA. Determine the dilution factor in producing solution ALPHA from the stock solution. b. Determine the dilution factor in producing solution BETA from the solution ALPHA. C. Determine the dilution factor in producing solution GAMMA from the stock solution BETA. d. Determine the overall serial dilution factor in producing solution GAMMA from the stock solution.

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### Serial Dilution Problem

**Problem Statement:**

7. A series of dilutions is performed as follows:

- 5.00 mL of stock solution is diluted to 25.00 mL, producing solution ALPHA.
- 10.00 mL of solution ALPHA is diluted to 25.00 mL, resulting in solution BETA.
- 10.00 mL of solution BETA is then diluted to 25.00 mL, producing solution GAMMA.

**Tasks:**

a. Determine the dilution factor in producing solution ALPHA from the stock solution.

b. Determine the dilution factor in producing solution BETA from the solution ALPHA.

c. Determine the dilution factor in producing solution GAMMA from the solution BETA.

d. Determine the overall serial dilution factor in producing solution GAMMA from the stock solution.

**Steps for Calculation:**

- **Dilution Factor (DF):** Defined as the ratio of the final volume to the initial volume when a solution is diluted.
  
- **For Solution ALPHA:**
  \[
  \text{DF}_{\text{ALPHA}} = \frac{\text{Final Volume}}{\text{Initial Volume}} = \frac{25.00 \, \text{mL}}{5.00 \, \text{mL}}
  \]

- **For Solution BETA:**
  \[
  \text{DF}_{\text{BETA}} = \frac{25.00 \, \text{mL}}{10.00 \, \text{mL}}
  \]

- **For Solution GAMMA:**
  \[
  \text{DF}_{\text{GAMMA}} = \frac{25.00 \, \text{mL}}{10.00 \, \text{mL}}
  \]

- **Overall Serial Dilution Factor for Solution GAMMA:**
  Multiply the dilution factors for each step:
  \[
  \text{Overall DF} = \text{DF}_{\text{ALPHA}} \times \text{DF}_{\text{BETA}} \times \text{DF}_{\text{GAMMA}}
  \]
Transcribed Image Text:### Serial Dilution Problem **Problem Statement:** 7. A series of dilutions is performed as follows: - 5.00 mL of stock solution is diluted to 25.00 mL, producing solution ALPHA. - 10.00 mL of solution ALPHA is diluted to 25.00 mL, resulting in solution BETA. - 10.00 mL of solution BETA is then diluted to 25.00 mL, producing solution GAMMA. **Tasks:** a. Determine the dilution factor in producing solution ALPHA from the stock solution. b. Determine the dilution factor in producing solution BETA from the solution ALPHA. c. Determine the dilution factor in producing solution GAMMA from the solution BETA. d. Determine the overall serial dilution factor in producing solution GAMMA from the stock solution. **Steps for Calculation:** - **Dilution Factor (DF):** Defined as the ratio of the final volume to the initial volume when a solution is diluted. - **For Solution ALPHA:** \[ \text{DF}_{\text{ALPHA}} = \frac{\text{Final Volume}}{\text{Initial Volume}} = \frac{25.00 \, \text{mL}}{5.00 \, \text{mL}} \] - **For Solution BETA:** \[ \text{DF}_{\text{BETA}} = \frac{25.00 \, \text{mL}}{10.00 \, \text{mL}} \] - **For Solution GAMMA:** \[ \text{DF}_{\text{GAMMA}} = \frac{25.00 \, \text{mL}}{10.00 \, \text{mL}} \] - **Overall Serial Dilution Factor for Solution GAMMA:** Multiply the dilution factors for each step: \[ \text{Overall DF} = \text{DF}_{\text{ALPHA}} \times \text{DF}_{\text{BETA}} \times \text{DF}_{\text{GAMMA}} \]
Expert Solution
Step 1

Dilution factor: It is defined as the ratio of volume of stock solution to the volume of the final solution.

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