10. In alcohol fermentation, yeast converts glucose to ethanol and carbon dioxide: C6H1206 (s) →2C2H5OH + 2CO2 (9) If 4.26 g of glucose are reacted and 1.14 L of CO2 gas are collected at 306 K and 0.985 atm. what is the percent yield of the reaction?

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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### Educational Content on Alcohol Fermentation and Yield Calculation

**Alcohol Fermentation**

In the process of alcohol fermentation, yeast converts glucose into ethanol and carbon dioxide. The chemical equation for this reaction is:

\[ \text{C}_6\text{H}_{12}\text{O}_6 \,(\text{s}) \rightarrow 2\text{C}_2\text{H}_5\text{OH} \,(\ell) + 2\text{CO}_2 \,(\text{g}) \]

**Problem Statement**

If 4.26 grams of glucose are reacted and 1.14 liters of \(\text{CO}_2\) gas is collected at 306 K and 0.985 atm, what is the percent yield of the reaction?

**Explanation of the Diagram**

The image contains handwritten calculations related to the given problem. The calculations demonstrate how to determine the number of moles of \(\text{CO}_2\) produced using the ideal gas law.

1. **Ideal Gas Law Calculation**: 
   \[
   PV = nRT 
   \]
   - \(P\) = 719.9 mm Hg (converted to atm as appropriate),
   - \(V\) = 0.529 L (as noted in the handwritten text),
   - \(R\) (the ideal gas constant),
   - \(T\) = 296 K.
   
2. **Substituted Values**:
   - \(\frac{719.9 \, \text{mm Hg} \times 0.529 \, \text{L}}{62.36 \, \text{mm Hg} \cdot \text{L/mol} \cdot \text{K} \times 296 \, \text{K}}\)

   - The calculation results in 0.0128 moles of \(\text{CO}_2\).

3. **Percent Yield Calculation**:
   - Percent yield can be calculated using the actual yield and theoretical yield:
   \[
   \text{Percent Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100
   \]

**Note**: The theoretical yield must be calculated from the stoichiometry of the reaction, considering 4.26 g of glucose used.

This explanation aims to guide students through the process of understanding alcohol
Transcribed Image Text:### Educational Content on Alcohol Fermentation and Yield Calculation **Alcohol Fermentation** In the process of alcohol fermentation, yeast converts glucose into ethanol and carbon dioxide. The chemical equation for this reaction is: \[ \text{C}_6\text{H}_{12}\text{O}_6 \,(\text{s}) \rightarrow 2\text{C}_2\text{H}_5\text{OH} \,(\ell) + 2\text{CO}_2 \,(\text{g}) \] **Problem Statement** If 4.26 grams of glucose are reacted and 1.14 liters of \(\text{CO}_2\) gas is collected at 306 K and 0.985 atm, what is the percent yield of the reaction? **Explanation of the Diagram** The image contains handwritten calculations related to the given problem. The calculations demonstrate how to determine the number of moles of \(\text{CO}_2\) produced using the ideal gas law. 1. **Ideal Gas Law Calculation**: \[ PV = nRT \] - \(P\) = 719.9 mm Hg (converted to atm as appropriate), - \(V\) = 0.529 L (as noted in the handwritten text), - \(R\) (the ideal gas constant), - \(T\) = 296 K. 2. **Substituted Values**: - \(\frac{719.9 \, \text{mm Hg} \times 0.529 \, \text{L}}{62.36 \, \text{mm Hg} \cdot \text{L/mol} \cdot \text{K} \times 296 \, \text{K}}\) - The calculation results in 0.0128 moles of \(\text{CO}_2\). 3. **Percent Yield Calculation**: - Percent yield can be calculated using the actual yield and theoretical yield: \[ \text{Percent Yield} = \left( \frac{\text{Actual Yield}}{\text{Theoretical Yield}} \right) \times 100 \] **Note**: The theoretical yield must be calculated from the stoichiometry of the reaction, considering 4.26 g of glucose used. This explanation aims to guide students through the process of understanding alcohol
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