Calculate the mass percentage of oxygen in the organic molecule whose line structure is shown below. Express your answer with three significant figures.
Calculate the mass percentage of oxygen in the organic molecule whose line structure is shown below. Express your answer with three significant figures.
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
![**Problem Description:**
Calculate the mass percentage of oxygen in the organic molecule whose line structure is shown below. Express your answer with three significant figures.
**Molecule Structure:**
The image shows a line structure of an organic molecule. The structure consists of a linear chain with 13 carbon atoms. The chain has a double bond between the 9th and 10th carbons from the left. At the end of this chain, there is a carboxylic acid group (-COOH) attached, indicating the presence of two oxygen atoms in the structure.
**Solution Instructions:**
To solve this problem, follow these steps:
1. **Determine the Molecular Formula**:
- Count the number of carbon (C), hydrogen (H), and oxygen (O) atoms.
- The line structure has:
- 18 carbon atoms: C18
- A double bond indicating less hydrogen:
- 32 hydrogen atoms: H32
- 2 oxygen atoms due to the -COOH group: O2
2. **Calculate the Molar Mass**:
- Carbon (C): 12.01 g/mol
- Hydrogen (H): 1.008 g/mol
- Oxygen (O): 16.00 g/mol
Molar mass calculation:
- \(18 \times 12.01 \, \text{g/mol} \, (\text{C}) + 32 \times 1.008 \, \text{g/mol} \, (\text{H}) + 2 \times 16.00 \, \text{g/mol} \, (\text{O})\)
3. **Calculate the Mass Percentage of Oxygen**:
- Total molar mass of oxygen: \(2 \times 16.00 \, \text{g/mol}\)
- Mass percentage of oxygen:
\[
\left( \frac{\text{Total mass of oxygen}}{\text{Total molar mass of the molecule}} \right) \times 100
\]
4. **Present the Mass Percentage with Three Significant Figures**.
Provide the final mass percentage calculation in the answer box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bc07476-8016-4ed0-a3ec-1055e31f31ea%2F761ff6f3-84dc-4b44-a211-c3d41818fff8%2Fjcns0lr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
Calculate the mass percentage of oxygen in the organic molecule whose line structure is shown below. Express your answer with three significant figures.
**Molecule Structure:**
The image shows a line structure of an organic molecule. The structure consists of a linear chain with 13 carbon atoms. The chain has a double bond between the 9th and 10th carbons from the left. At the end of this chain, there is a carboxylic acid group (-COOH) attached, indicating the presence of two oxygen atoms in the structure.
**Solution Instructions:**
To solve this problem, follow these steps:
1. **Determine the Molecular Formula**:
- Count the number of carbon (C), hydrogen (H), and oxygen (O) atoms.
- The line structure has:
- 18 carbon atoms: C18
- A double bond indicating less hydrogen:
- 32 hydrogen atoms: H32
- 2 oxygen atoms due to the -COOH group: O2
2. **Calculate the Molar Mass**:
- Carbon (C): 12.01 g/mol
- Hydrogen (H): 1.008 g/mol
- Oxygen (O): 16.00 g/mol
Molar mass calculation:
- \(18 \times 12.01 \, \text{g/mol} \, (\text{C}) + 32 \times 1.008 \, \text{g/mol} \, (\text{H}) + 2 \times 16.00 \, \text{g/mol} \, (\text{O})\)
3. **Calculate the Mass Percentage of Oxygen**:
- Total molar mass of oxygen: \(2 \times 16.00 \, \text{g/mol}\)
- Mass percentage of oxygen:
\[
\left( \frac{\text{Total mass of oxygen}}{\text{Total molar mass of the molecule}} \right) \times 100
\]
4. **Present the Mass Percentage with Three Significant Figures**.
Provide the final mass percentage calculation in the answer box.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
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
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY