Be sure to answer all parts. A quantity of 0.29 mole of carbon dioxide was heated to a certain temperature with an excess of graphite in a closed container until the following equilibrium was reached: C(s) + CO₂(g) 2 CO(g) Under these conditions, the average molar mass of the gases was 34.5 g/mol. (a) Calculate the mole fractions of CO and CO₂. The mole fraction of CO is 0.40625 The mole fraction of CO₂ is 0.59375X (b) What is Kp if the total pressure is 10.5 atm? 9.12
Be sure to answer all parts. A quantity of 0.29 mole of carbon dioxide was heated to a certain temperature with an excess of graphite in a closed container until the following equilibrium was reached: C(s) + CO₂(g) 2 CO(g) Under these conditions, the average molar mass of the gases was 34.5 g/mol. (a) Calculate the mole fractions of CO and CO₂. The mole fraction of CO is 0.40625 The mole fraction of CO₂ is 0.59375X (b) What is Kp if the total pressure is 10.5 atm? 9.12
Chemistry
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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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### Calculations of Mole Fraction and Equilibrium Constant for a Reaction
**Problem Statement:**
A quantity of 0.29 moles of carbon dioxide (CO₂) was heated to a certain temperature with an excess of graphite in a closed container until the following equilibrium was reached:
\[ \text{C(s)} + \text{CO}_2\text{(g)} \rightleftharpoons 2 \text{CO(g)} \]
Under these conditions, the average molar mass of the gases was 34.5 g/mol.
### Part (a): Calculate the mole fractions of CO and CO₂.
**Solution:**
#### The Mole Fraction of CO:
\[ \text{The mole fraction of CO is} \]
\[ \boxed{0.40625} \]
#### The Mole Fraction of CO₂:
\[ \text{The mole fraction of CO₂ is} \]
\[ \boxed{0.59375} \]
### Part (b): Calculate the equilibrium constant (\( K_p \)) if the total pressure is 10.5 atm.
**Solution:**
\[ \text{The value of } K_p \text{ is} \]
\[ \boxed{9.12} \]
**Note:** The red crosses next to the boxed values indicate these results were marked as incorrect. Review the problem statement and calculations to identify and correct possible mistakes.
---
### Potential Errors to Investigate:
- Reassess the calculations involving mole fractions and molar masses.
- Verify the equilibrium expression and calculations used to determine \( K_p \).
Continue to the next part for further steps and explanation.
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Transcribed Image Text:---
### Calculations of Mole Fraction and Equilibrium Constant for a Reaction
**Problem Statement:**
A quantity of 0.29 moles of carbon dioxide (CO₂) was heated to a certain temperature with an excess of graphite in a closed container until the following equilibrium was reached:
\[ \text{C(s)} + \text{CO}_2\text{(g)} \rightleftharpoons 2 \text{CO(g)} \]
Under these conditions, the average molar mass of the gases was 34.5 g/mol.
### Part (a): Calculate the mole fractions of CO and CO₂.
**Solution:**
#### The Mole Fraction of CO:
\[ \text{The mole fraction of CO is} \]
\[ \boxed{0.40625} \]
#### The Mole Fraction of CO₂:
\[ \text{The mole fraction of CO₂ is} \]
\[ \boxed{0.59375} \]
### Part (b): Calculate the equilibrium constant (\( K_p \)) if the total pressure is 10.5 atm.
**Solution:**
\[ \text{The value of } K_p \text{ is} \]
\[ \boxed{9.12} \]
**Note:** The red crosses next to the boxed values indicate these results were marked as incorrect. Review the problem statement and calculations to identify and correct possible mistakes.
---
### Potential Errors to Investigate:
- Reassess the calculations involving mole fractions and molar masses.
- Verify the equilibrium expression and calculations used to determine \( K_p \).
Continue to the next part for further steps and explanation.
---
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