Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
![**Problem Statement:**
If 2.60 moles of \( \text{H}_2 \) and 1.55 moles of \( \text{O}_2 \) react, how many moles of \( \text{H}_2\text{O} \) can be produced in the reaction below?
\[ 2 \, \text{H}_2(g) + \text{O}_2(g) \rightarrow 2 \, \text{H}_2\text{O}(g) \]
**Explanation:**
In the balanced chemical equation provided, two moles of hydrogen gas (\( \text{H}_2 \)) react with one mole of oxygen gas (\( \text{O}_2 \)) to produce two moles of water (\( \text{H}_2\text{O} \)).
**Steps to Solve:**
1. **Determine the Limiting Reactant:**
- From the equation, the ratio of \( \text{H}_2 \) to \( \text{O}_2 \) is 2:1.
- Calculate the required moles of \( \text{O}_2 \) for 2.60 moles of \( \text{H}_2 \):
- \( 2.60 \, \text{moles} \, \text{H}_2 \times \frac{1 \, \text{mole} \, \text{O}_2}{2 \, \text{moles} \, \text{H}_2} = 1.30 \, \text{moles} \, \text{O}_2 \)
- Available \( \text{O}_2 \) is 1.55 moles, which is more than the 1.30 moles required, so \( \text{H}_2 \) is the limiting reactant.
2. **Calculate Moles of \( \text{H}_2\text{O} \) Produced:**
- According to the stoichiometry, 2 moles of \( \text{H}_2 \) produce 2 moles of \( \text{H}_2\text{O} \).
- \( 2.60 \, \text{moles} \, \text{H}_2 \) will thus produce \( 2.60](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70274774-6f46-4808-8916-795560a9e0a1%2Fc96fcb1d-5c88-49ac-a9c1-92bc884526d1%2Flnq12ho_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
If 2.60 moles of \( \text{H}_2 \) and 1.55 moles of \( \text{O}_2 \) react, how many moles of \( \text{H}_2\text{O} \) can be produced in the reaction below?
\[ 2 \, \text{H}_2(g) + \text{O}_2(g) \rightarrow 2 \, \text{H}_2\text{O}(g) \]
**Explanation:**
In the balanced chemical equation provided, two moles of hydrogen gas (\( \text{H}_2 \)) react with one mole of oxygen gas (\( \text{O}_2 \)) to produce two moles of water (\( \text{H}_2\text{O} \)).
**Steps to Solve:**
1. **Determine the Limiting Reactant:**
- From the equation, the ratio of \( \text{H}_2 \) to \( \text{O}_2 \) is 2:1.
- Calculate the required moles of \( \text{O}_2 \) for 2.60 moles of \( \text{H}_2 \):
- \( 2.60 \, \text{moles} \, \text{H}_2 \times \frac{1 \, \text{mole} \, \text{O}_2}{2 \, \text{moles} \, \text{H}_2} = 1.30 \, \text{moles} \, \text{O}_2 \)
- Available \( \text{O}_2 \) is 1.55 moles, which is more than the 1.30 moles required, so \( \text{H}_2 \) is the limiting reactant.
2. **Calculate Moles of \( \text{H}_2\text{O} \) Produced:**
- According to the stoichiometry, 2 moles of \( \text{H}_2 \) produce 2 moles of \( \text{H}_2\text{O} \).
- \( 2.60 \, \text{moles} \, \text{H}_2 \) will thus produce \( 2.60
![**Question:**
If you have 5 mol of \( \text{H}_2 \) and 2 mol of \( \text{N}_2 \), what is the limiting reagent in the reaction below?
\[ 3 \text{H}_2 (\text{g}) + \text{N}_2 (\text{g}) \rightarrow 2 \text{NH}_3 (\text{g}) \]
**Options:**
- A) \( \text{H}_2 \)
- B) \( \text{N}_2 \)
- C) \( \text{NH}_3 \)
- D) Both reactants are limiting.
**Explanation:**
This question tests the understanding of the concept of limiting reagents in a chemical reaction. The balanced chemical equation indicates that 3 moles of \( \text{H}_2 \) are required for every 1 mole of \( \text{N}_2 \) to produce ammonia (\( \text{NH}_3 \)). By calculating the number of moles needed and comparing it with what's available, one can determine which reactant is limiting.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70274774-6f46-4808-8916-795560a9e0a1%2Fc96fcb1d-5c88-49ac-a9c1-92bc884526d1%2F8p2jo4j_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
If you have 5 mol of \( \text{H}_2 \) and 2 mol of \( \text{N}_2 \), what is the limiting reagent in the reaction below?
\[ 3 \text{H}_2 (\text{g}) + \text{N}_2 (\text{g}) \rightarrow 2 \text{NH}_3 (\text{g}) \]
**Options:**
- A) \( \text{H}_2 \)
- B) \( \text{N}_2 \)
- C) \( \text{NH}_3 \)
- D) Both reactants are limiting.
**Explanation:**
This question tests the understanding of the concept of limiting reagents in a chemical reaction. The balanced chemical equation indicates that 3 moles of \( \text{H}_2 \) are required for every 1 mole of \( \text{N}_2 \) to produce ammonia (\( \text{NH}_3 \)). By calculating the number of moles needed and comparing it with what's available, one can determine which reactant is limiting.
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