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

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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.

---
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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