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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![### 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:
\[
\begin{array}{|c|c|c|}
\hline
\text{gas} & \text{mole fraction} & \text{partial pressure} \\
\hline
\text{N}_2 & & \text{kPa} \\
\hline
\text{O}_2 & & \text{kPa} \\
\hline
\end{array}
\]
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