Give the percent yield when 28.16 g of CO_2[/math} are formed from the reaction of 4.000 moles of [math]C_8H_18 with 8.000 moles of 02. 2C3H18+ 2502→16CO2 + 18H2O

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**Problem Statement:**

Calculate the percent yield when 28.16 g of \( \text{CO}_2 \) are formed from the reaction of 4.000 moles of \( \text{C}_8\text{H}_{18} \) with 8.000 moles of \( \text{O}_2 \).

**Chemical Reaction:**

\[ 2\text{C}_8\text{H}_{18} + 25\text{O}_2 \rightarrow 16\text{CO}_2 + 18\text{H}_2\text{O} \] 

**Explanation:**
This balanced chemical equation represents the combustion of octane (\( \text{C}_8\text{H}_{18} \)) in oxygen (\( \text{O}_2 \)) to produce carbon dioxide (\( \text{CO}_2 \)) and water (\( \text{H}_2\text{O} \)).

**Steps to Calculate Percent Yield:**

1. **Calculate theoretical yield of \( \text{CO}_2 \):**
   - Use stoichiometry based on the balanced equation to find the theoretical amount of \( \text{CO}_2 \) that should be produced with 4.000 moles of \( \text{C}_8\text{H}_{18} \) and 8.000 moles of \( \text{O}_2 \).

2. **Convert grams of \( \text{CO}_2 \) to moles:**
   - Use the molar mass of \( \text{CO}_2 \) to convert 28.16 g to moles.

3. **Calculate the percent yield:**
   - Use the formula: 

   \[
   \text{Percent Yield} = \left( \frac{\text{Actual Yield (in moles)}}{\text{Theoretical Yield (in moles)}} \right) \times 100\%
   \]

These steps will allow you to determine how efficiently carbon dioxide was produced in the reaction considering both reactants' moles and the given mass of the product.
Transcribed Image Text:**Problem Statement:** Calculate the percent yield when 28.16 g of \( \text{CO}_2 \) are formed from the reaction of 4.000 moles of \( \text{C}_8\text{H}_{18} \) with 8.000 moles of \( \text{O}_2 \). **Chemical Reaction:** \[ 2\text{C}_8\text{H}_{18} + 25\text{O}_2 \rightarrow 16\text{CO}_2 + 18\text{H}_2\text{O} \] **Explanation:** This balanced chemical equation represents the combustion of octane (\( \text{C}_8\text{H}_{18} \)) in oxygen (\( \text{O}_2 \)) to produce carbon dioxide (\( \text{CO}_2 \)) and water (\( \text{H}_2\text{O} \)). **Steps to Calculate Percent Yield:** 1. **Calculate theoretical yield of \( \text{CO}_2 \):** - Use stoichiometry based on the balanced equation to find the theoretical amount of \( \text{CO}_2 \) that should be produced with 4.000 moles of \( \text{C}_8\text{H}_{18} \) and 8.000 moles of \( \text{O}_2 \). 2. **Convert grams of \( \text{CO}_2 \) to moles:** - Use the molar mass of \( \text{CO}_2 \) to convert 28.16 g to moles. 3. **Calculate the percent yield:** - Use the formula: \[ \text{Percent Yield} = \left( \frac{\text{Actual Yield (in moles)}}{\text{Theoretical Yield (in moles)}} \right) \times 100\% \] These steps will allow you to determine how efficiently carbon dioxide was produced in the reaction considering both reactants' moles and the given mass of the product.
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