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
thank you
![### Mole Fraction and Partial Pressure Calculation
**Scenario:**
Some \( \text{N}_2 \) gas is mixed with some \( \text{O}_2 \) gas, and the sketch below shows a representative sample of the mixture. The total pressure of the mixture is measured and found to be 0.120 kPa.
**Diagram Explanation:**
- The image shows a mixture of gas molecules.
- Red circles represent oxygen molecules.
- Blue circles represent nitrogen molecules.
**Key:**
- **Carbon:** Black
- **Nitrogen:** Blue
- **Oxygen:** Red
- **Hydrogen:** White
- **Sulfur:** Yellow
- **Chlorine:** Green
**Objective:**
Calculate the mole fraction and partial pressure of each gas in this mixture. Round your answers to 3 significant digits. You may assume each gas behaves as an ideal gas.
**Calculation:**
1. **Count the Molecules:**
- Count the number of each type of molecule in the diagram.
2. **Determine Mole Fraction:**
The mole fraction \( (X) \) can be calculated using the formula:
\[
X_i = \frac{n_i}{n_{\text{total}}}
\]
where \( n_i \) is the number of molecules of gas \( i \), and \( n_{\text{total}} \) is the total number of gas molecules.
3. **Calculate Partial Pressure:**
The partial pressure \( P_i \) can be calculated using Dalton's Law of Partial Pressures:
\[
P_i = X_i \times P_{\text{total}}
\]
where \( P_{\text{total}} \) is the total pressure of the gas mixture.
**Input Fields:**
Fill in the calculated values in the provided table:
\[
\begin{array}{|c|c|c|}
\hline
\text{gas} & \text{mole fraction} & \text{partial pressure} \\
\hline
\text{N}_2 & & \text{kPa} \\
\hline
\text{O}_2 & & \text{kPa} \\
\hline
\end{array}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F119dc43d-7db3-46ad-a645-5a950c0164fa%2F30104090-a355-4fb8-a777-e8b6842079c4%2Fsrhic7k_processed.png&w=3840&q=75)
Transcribed Image Text:### Mole Fraction and Partial Pressure Calculation
**Scenario:**
Some \( \text{N}_2 \) gas is mixed with some \( \text{O}_2 \) gas, and the sketch below shows a representative sample of the mixture. The total pressure of the mixture is measured and found to be 0.120 kPa.
**Diagram Explanation:**
- The image shows a mixture of gas molecules.
- Red circles represent oxygen molecules.
- Blue circles represent nitrogen molecules.
**Key:**
- **Carbon:** Black
- **Nitrogen:** Blue
- **Oxygen:** Red
- **Hydrogen:** White
- **Sulfur:** Yellow
- **Chlorine:** Green
**Objective:**
Calculate the mole fraction and partial pressure of each gas in this mixture. Round your answers to 3 significant digits. You may assume each gas behaves as an ideal gas.
**Calculation:**
1. **Count the Molecules:**
- Count the number of each type of molecule in the diagram.
2. **Determine Mole Fraction:**
The mole fraction \( (X) \) can be calculated using the formula:
\[
X_i = \frac{n_i}{n_{\text{total}}}
\]
where \( n_i \) is the number of molecules of gas \( i \), and \( n_{\text{total}} \) is the total number of gas molecules.
3. **Calculate Partial Pressure:**
The partial pressure \( P_i \) can be calculated using Dalton's Law of Partial Pressures:
\[
P_i = X_i \times P_{\text{total}}
\]
where \( P_{\text{total}} \) is the total pressure of the gas mixture.
**Input Fields:**
Fill in the calculated values in the provided table:
\[
\begin{array}{|c|c|c|}
\hline
\text{gas} & \text{mole fraction} & \text{partial pressure} \\
\hline
\text{N}_2 & & \text{kPa} \\
\hline
\text{O}_2 & & \text{kPa} \\
\hline
\end{array}
\]
Expert Solution

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

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