A student is diluting an aqueous NH4SCN solution for an experiment. The student starts with a O.100 ± 0.003 M stock solution. The student pipettes 20.0 ± 0.2 mL of the stock solution into a 100.00 ± 0.08 mL volumetric flask, fills to the engraved line with deionized water, and then thoroughly mixes the solution to ensure homogeneity. What is the calculated diluted molarity of the NH4SCN solution in the volumetric flask with error? You will enter your answer in the following questions.

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**Dilution of an Aqueous NH₄SCN Solution: Calculation and Analysis**

**Scenario:**

A student is conducting an experiment that involves diluting an aqueous NH₄SCN solution. The initial concentration and volumes used, including the associated errors, need to be carefully analyzed to determine the diluted molarity.

**Given Data:**

- **Stock Solution Molarity (M₁):** 0.100 ± 0.003 M
- **Volume of Stock Solution (V₁):** 20.0 ± 0.2 mL
- **Volume of Volumetric Flask (V₂):** 100.00 ± 0.08 mL

**Procedure:**

1. The student pipettes 20.0 ± 0.2 mL of the stock solution (NH₄SCN) into a 100.00 ± 0.08 mL volumetric flask.
2. The flask is then filled to the engraved line with deionized water.
3. The solution is thoroughly mixed to ensure homogeneity.

**Objective:**

Calculate the diluted molarity of the NH₄SCN solution in the volumetric flask, including the associated error.

**Tasks:**

1. **Determine the Calculated Diluted Molarity:**

   Given the formula for dilution:

   \[
   M_1 \times V_1 = M_2 \times V_2
   \]

   Where:
   - \(M_1\) is the molarity of the stock solution
   - \(V_1\) is the volume of the stock solution
   - \(M_2\) is the molarity of the diluted solution
   - \(V_2\) is the total volume after dilution
   
   Rearranging for \(M_2\):

   \[
   M_2 = \frac{M_1 \times V_1}{V_2}
   \]

2. **Account for Associated Errors:**

   The calculated diluted molarity will need to include the respective errors from the initial measurements provided (stock molarity, pipette volume, and volumetric flask volume).

**Question:**

What is the calculated diluted molarity of the NH₄SCN solution in the volumetric flask with error?

**Follow-up Question:**

What is the calculated molarity of the diluted NH₄SCN solution? (Enter
Transcribed Image Text:--- **Dilution of an Aqueous NH₄SCN Solution: Calculation and Analysis** **Scenario:** A student is conducting an experiment that involves diluting an aqueous NH₄SCN solution. The initial concentration and volumes used, including the associated errors, need to be carefully analyzed to determine the diluted molarity. **Given Data:** - **Stock Solution Molarity (M₁):** 0.100 ± 0.003 M - **Volume of Stock Solution (V₁):** 20.0 ± 0.2 mL - **Volume of Volumetric Flask (V₂):** 100.00 ± 0.08 mL **Procedure:** 1. The student pipettes 20.0 ± 0.2 mL of the stock solution (NH₄SCN) into a 100.00 ± 0.08 mL volumetric flask. 2. The flask is then filled to the engraved line with deionized water. 3. The solution is thoroughly mixed to ensure homogeneity. **Objective:** Calculate the diluted molarity of the NH₄SCN solution in the volumetric flask, including the associated error. **Tasks:** 1. **Determine the Calculated Diluted Molarity:** Given the formula for dilution: \[ M_1 \times V_1 = M_2 \times V_2 \] Where: - \(M_1\) is the molarity of the stock solution - \(V_1\) is the volume of the stock solution - \(M_2\) is the molarity of the diluted solution - \(V_2\) is the total volume after dilution Rearranging for \(M_2\): \[ M_2 = \frac{M_1 \times V_1}{V_2} \] 2. **Account for Associated Errors:** The calculated diluted molarity will need to include the respective errors from the initial measurements provided (stock molarity, pipette volume, and volumetric flask volume). **Question:** What is the calculated diluted molarity of the NH₄SCN solution in the volumetric flask with error? **Follow-up Question:** What is the calculated molarity of the diluted NH₄SCN solution? (Enter
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