Iron(III) oxide and hydrogen react to form iron and water, like this: Fe₂O₂ (s) + 3H₂(g) →2 Fe(s) + 3 H₂O(g) At a certain temperature, a chemist finds that a 3.6 L reaction vessel containing a mixture of iron(III) oxide, hydrogen, iron, and water at equilibrium ha following composition: compound amount Fe₂O3 3.38 g H₂ Fe H₂O Calculate the value of the equilibrium constant K for this reaction. Round your answer to 2 significant digits. 4.06 g 3.83 g 2.15 g

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# Calculating an Equilibrium Constant from a Heterogeneous Reaction

**Reaction Overview:**
Iron(III) oxide and hydrogen react to form iron and water, as shown in the equation:

\[ \text{Fe}_2\text{O}_3(s) + 3\text{H}_2(g) \rightarrow 2\text{Fe}(s) + 3\text{H}_2\text{O}(g) \]

**Experimental Setup:**
At a certain temperature, a chemist uses a 3.6 L reaction vessel to study the equilibrium composition. The vessel initially contains a mixture of iron(III) oxide, hydrogen, iron, and water with the following amounts:

| **Compound** | **Amount (g)** |
|--------------|----------------|
| Fe\(_2\)O\(_3\) | 3.38         |
| H\(_2\)        | 4.06         |
| Fe             | 3.38         |
| H\(_2\)O       | 21.5         |

**Task:**
Calculate the value of the equilibrium constant \( K_c \) for this reaction. Round your answer to 2 significant digits.

**Input Box:**
\[ \large{K_c = \_\_} \]

Options:
- **Explanation**: Provides detailed guidance for solving the problem.
- **Check**: Verifies the entered answer.

**Visual Description:**
The webpage displays an interface with the title "ALEKS - Calculating an Equilibrium Constant from a Heterogeneous Reaction." The reaction equation and table are centered, followed by input options at the bottom for additional explanation or answer checking.
Transcribed Image Text:# Calculating an Equilibrium Constant from a Heterogeneous Reaction **Reaction Overview:** Iron(III) oxide and hydrogen react to form iron and water, as shown in the equation: \[ \text{Fe}_2\text{O}_3(s) + 3\text{H}_2(g) \rightarrow 2\text{Fe}(s) + 3\text{H}_2\text{O}(g) \] **Experimental Setup:** At a certain temperature, a chemist uses a 3.6 L reaction vessel to study the equilibrium composition. The vessel initially contains a mixture of iron(III) oxide, hydrogen, iron, and water with the following amounts: | **Compound** | **Amount (g)** | |--------------|----------------| | Fe\(_2\)O\(_3\) | 3.38 | | H\(_2\) | 4.06 | | Fe | 3.38 | | H\(_2\)O | 21.5 | **Task:** Calculate the value of the equilibrium constant \( K_c \) for this reaction. Round your answer to 2 significant digits. **Input Box:** \[ \large{K_c = \_\_} \] Options: - **Explanation**: Provides detailed guidance for solving the problem. - **Check**: Verifies the entered answer. **Visual Description:** The webpage displays an interface with the title "ALEKS - Calculating an Equilibrium Constant from a Heterogeneous Reaction." The reaction equation and table are centered, followed by input options at the bottom for additional explanation or answer checking.
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