Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Understanding Stoichiometry: Chemical Reactions and Yield Calculations**

**Problem Statement:**
For the following reaction, **5.87 grams of oxygen gas** are mixed with excess **hydrochloric acid**. The reaction yields **4.91 grams of water**.

\[ 4HCl \, \text{(aq)} + O_2 \, \text{(g)} \longrightarrow 2H_2O \, \text{(l)} + 2Cl_2 \, \text{(g)} \]

1. **What is the theoretical yield of water?**  _____ grams
2. **What is the percent yield for this reaction?**  _____ %

Let's break down the problem to find our answers:

1. **Calculating the Theoretical Yield of Water:**
   First, we need to calculate the theoretical yield of water based on the given amount of oxygen gas and the stoichiometry of the reaction.

2. **Calculating the Percent Yield:**
   Once we have the theoretical yield, we can use it to determine the percent yield using the actual yield provided in the problem statement.

**Steps to Calculate the Theoretical Yield:**

1. **Balanced Chemical Equation:**
   \[ 4HCl \, \text{(aq)} + O_2 \, \text{(g)} \longrightarrow 2H_2O \, \text{(l)} + 2Cl_2 \, \text{(g)} \]

2. **Molar Masses Calculation:**
   - Molar mass of \( O_2 \) (Oxygen gas) = \( 2 \times 16.00 \, \text{g/mol} = 32.00 \, \text{g/mol} \)
   - Molar mass of \( H_2O \) (Water) = \( 2 \times 1.01 \, \text{g/mol} + 16.00 \, \text{g/mol} = 18.02 \, \text{g/mol} \)

3. **Convert grams of \( O_2 \) to moles:**
   \[ \text{Moles of } O_2 = \frac{5.87 \, \text{g}}{32.00 \, \text{g/mol}} = 0.1834
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Transcribed Image Text:**Understanding Stoichiometry: Chemical Reactions and Yield Calculations** **Problem Statement:** For the following reaction, **5.87 grams of oxygen gas** are mixed with excess **hydrochloric acid**. The reaction yields **4.91 grams of water**. \[ 4HCl \, \text{(aq)} + O_2 \, \text{(g)} \longrightarrow 2H_2O \, \text{(l)} + 2Cl_2 \, \text{(g)} \] 1. **What is the theoretical yield of water?**  _____ grams 2. **What is the percent yield for this reaction?**  _____ % Let's break down the problem to find our answers: 1. **Calculating the Theoretical Yield of Water:** First, we need to calculate the theoretical yield of water based on the given amount of oxygen gas and the stoichiometry of the reaction. 2. **Calculating the Percent Yield:** Once we have the theoretical yield, we can use it to determine the percent yield using the actual yield provided in the problem statement. **Steps to Calculate the Theoretical Yield:** 1. **Balanced Chemical Equation:** \[ 4HCl \, \text{(aq)} + O_2 \, \text{(g)} \longrightarrow 2H_2O \, \text{(l)} + 2Cl_2 \, \text{(g)} \] 2. **Molar Masses Calculation:** - Molar mass of \( O_2 \) (Oxygen gas) = \( 2 \times 16.00 \, \text{g/mol} = 32.00 \, \text{g/mol} \) - Molar mass of \( H_2O \) (Water) = \( 2 \times 1.01 \, \text{g/mol} + 16.00 \, \text{g/mol} = 18.02 \, \text{g/mol} \) 3. **Convert grams of \( O_2 \) to moles:** \[ \text{Moles of } O_2 = \frac{5.87 \, \text{g}}{32.00 \, \text{g/mol}} = 0.1834
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