If 0.315 g of AI (26.982 g/mol) is reacted in the synthesis of Alum reaction and 3.265 g of Alum (474.39 g/mol) is produced, determine the percent yield. O 60% O 58% O 57% O 55% O 59% O 56%

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Problem Statement:**

If 0.315 g of Al (26.982 g/mol) is reacted in the synthesis of Alum reaction and 3.265 g of Alum (474.39 g/mol) is produced, determine the percent yield.

**Options:**

- ○ 60%
- ○ 58%
- ○ 57%
- ○ 55%
- ○ 59%
- ○ 56%

**Solution Explanation:**

To determine the percent yield, follow these steps:

1. **Calculate moles of Aluminum (Al):**
   \[
   \text{Moles of Al} = \frac{0.315 \, \text{g}}{26.982 \, \text{g/mol}}
   \]

2. **Calculate theoretical yield of Alum:**
   Determine the moles of Alum that should theoretically form from the moles of Al using the stoichiometry of the reaction, if provided.

3. **Calculate actual moles of Alum produced:**
   \[
   \text{Moles of Alum} = \frac{3.265 \, \text{g}}{474.39 \, \text{g/mol}}
   \]

4. **Calculate percent yield:**
   \[
   \text{Percent Yield} = \left( \frac{\text{Actual Moles}}{\text{Theoretical Moles}} \right) \times 100
   \]

Use these steps to find the correct percent yield from the given options.
Transcribed Image Text:**Problem Statement:** If 0.315 g of Al (26.982 g/mol) is reacted in the synthesis of Alum reaction and 3.265 g of Alum (474.39 g/mol) is produced, determine the percent yield. **Options:** - ○ 60% - ○ 58% - ○ 57% - ○ 55% - ○ 59% - ○ 56% **Solution Explanation:** To determine the percent yield, follow these steps: 1. **Calculate moles of Aluminum (Al):** \[ \text{Moles of Al} = \frac{0.315 \, \text{g}}{26.982 \, \text{g/mol}} \] 2. **Calculate theoretical yield of Alum:** Determine the moles of Alum that should theoretically form from the moles of Al using the stoichiometry of the reaction, if provided. 3. **Calculate actual moles of Alum produced:** \[ \text{Moles of Alum} = \frac{3.265 \, \text{g}}{474.39 \, \text{g/mol}} \] 4. **Calculate percent yield:** \[ \text{Percent Yield} = \left( \frac{\text{Actual Moles}}{\text{Theoretical Moles}} \right) \times 100 \] Use these steps to find the correct percent yield from the given options.
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