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...
Related questions
Question
![**Chemical Reaction Calculation: Sulfuric Acid (H₂SO₄) and Hydrogen Gas Production**
---
**Problem Statement:**
What is the minimum amount (ml) of 6.00 M H₂SO₄ necessary to produce 5.03 g of hydrogen gas when H₂SO₄ reacts with excess aluminum metal?
[ ________________ ]
**Detailed Explanation:**
In this problem, we are asked to find the volume of 6.00 M sulfuric acid (H₂SO₄) needed to produce a specified amount of hydrogen gas (H₂) when it reacts with excess aluminum (Al). This type of problem involves stoichiometric calculations based on a balanced chemical reaction.
Key steps to solve the problem:
1. **Write the balanced chemical equation for the reaction.**
2. **Use stoichiometry to relate the mass of hydrogen gas to the moles of H₂SO₄.**
3. **Calculate the volume of H₂SO₄ solution needed.**
Balanced chemical equation:
\[ 2 Al + 3 H_2SO_4 \rightarrow Al_2(SO_4)_3 + 3 H_2 \]
1. **Find moles of hydrogen gas (H₂) produced:**
\[ \text{Molar mass of H₂} = 2 \text{g/mol} \]
\[ \text{Moles of H₂} = \frac{\text{mass of H₂}}{\text{molar mass of H₂}} = \frac{5.03 \text{g}}{2 \text{g/mol}} = 2.515 \text{mol} \]
2. **Determine moles of H₂SO₄ required:**
According to the balanced equation, 3 moles of H₂ are produced by 3 moles of H₂SO₄.
\[ \text{Moles of H₂SO₄} = \text{Moles of H₂} = 2.515 \text{mol} \]
3. **Calculate volume of H₂SO₄ solution:**
\[ \text{Concentration of H₂SO₄} = 6.00 \text{M} \]
\[ \text{Volume of H₂SO₄} = \frac{\text{Moles of H₂SO₄}}{\text{](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19b0aed3-745e-4879-8577-ea35399669d0%2F3ff4cbe4-e2b7-4353-bf19-34f012b75189%2Fby2ytbjl_processed.png&w=3840&q=75)
Transcribed Image Text:**Chemical Reaction Calculation: Sulfuric Acid (H₂SO₄) and Hydrogen Gas Production**
---
**Problem Statement:**
What is the minimum amount (ml) of 6.00 M H₂SO₄ necessary to produce 5.03 g of hydrogen gas when H₂SO₄ reacts with excess aluminum metal?
[ ________________ ]
**Detailed Explanation:**
In this problem, we are asked to find the volume of 6.00 M sulfuric acid (H₂SO₄) needed to produce a specified amount of hydrogen gas (H₂) when it reacts with excess aluminum (Al). This type of problem involves stoichiometric calculations based on a balanced chemical reaction.
Key steps to solve the problem:
1. **Write the balanced chemical equation for the reaction.**
2. **Use stoichiometry to relate the mass of hydrogen gas to the moles of H₂SO₄.**
3. **Calculate the volume of H₂SO₄ solution needed.**
Balanced chemical equation:
\[ 2 Al + 3 H_2SO_4 \rightarrow Al_2(SO_4)_3 + 3 H_2 \]
1. **Find moles of hydrogen gas (H₂) produced:**
\[ \text{Molar mass of H₂} = 2 \text{g/mol} \]
\[ \text{Moles of H₂} = \frac{\text{mass of H₂}}{\text{molar mass of H₂}} = \frac{5.03 \text{g}}{2 \text{g/mol}} = 2.515 \text{mol} \]
2. **Determine moles of H₂SO₄ required:**
According to the balanced equation, 3 moles of H₂ are produced by 3 moles of H₂SO₄.
\[ \text{Moles of H₂SO₄} = \text{Moles of H₂} = 2.515 \text{mol} \]
3. **Calculate volume of H₂SO₄ solution:**
\[ \text{Concentration of H₂SO₄} = 6.00 \text{M} \]
\[ \text{Volume of H₂SO₄} = \frac{\text{Moles of H₂SO₄}}{\text{
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Organic Chemistry](https://www.bartleby.com/isbn_cover_images/9780078021558/9780078021558_smallCoverImage.gif)
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
![Chemistry: Principles and Reactions](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY