Carbon dioxide and water react to form methane and oxygen, like this: CO,(9)+2H,0(9) → CH (9)+20,(9) The reaction is endothermic. Suppose a mixture of CO,, H,0, CH, and 0, has come to equilibrium in a closed reaction vessel. Predict what change, if any, the perturbations in the table below will cause in the composition of the mixture in the vessel. Also decide whether the equilibrium shifts to the right or left. perturbation change in composition shift in equilibrium O to the right The temperature is raised. The pressure of CH4 will? O to the left O (none) O to the right The temperature is lowered. O to the left The pressure of CO2 will ? O (none)

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Carbon dioxide and water react to form methane and oxygen, like this:

\[ \text{CO}_2(g) + 2\text{H}_2\text{O}(g) \rightarrow \text{CH}_4(g) + 2\text{O}_2(g) \]

The reaction is endothermic. Suppose a mixture of CO₂, H₂O, CH₄, and O₂ has come to equilibrium in a closed reaction vessel. Predict what change, if any, the perturbations in the table below will cause in the composition of the mixture in the vessel. Also decide whether the equilibrium shifts to the right or left.

| Perturbation                     | Change in Composition             | Shift in Equilibrium |
|----------------------------------|----------------------------------|----------------------|
| The temperature is raised.       | The pressure of CH₄ will          | ○ to the right       |
|                                  | \[ \begin{vmatrix} \end{vmatrix} \] | ○ to the left        |
|                                  |                                  | ○ (none)             |
| The temperature is lowered.      | The pressure of CO₂ will          | ○ to the right       |
|                                  | \[ \begin{vmatrix} \end{vmatrix} \] | ○ to the left        |
|                                  |                                  | ○ (none)             |

**Explanation of the Table:**

1. **Perturbation:** Describes the change applied to the system, such as temperature changes.
2. **Change in Composition:** Predicts the change in pressure of either CH₄ or CO₂ as a result of the perturbation.
3. **Shift in Equilibrium:** Indicates the direction in which the equilibrium will shift: 
   - "to the right" means the formation of more products.
   - "to the left" implies more reactants are formed.
   - "(none)" indicates no shift in equilibrium.
Transcribed Image Text:Carbon dioxide and water react to form methane and oxygen, like this: \[ \text{CO}_2(g) + 2\text{H}_2\text{O}(g) \rightarrow \text{CH}_4(g) + 2\text{O}_2(g) \] The reaction is endothermic. Suppose a mixture of CO₂, H₂O, CH₄, and O₂ has come to equilibrium in a closed reaction vessel. Predict what change, if any, the perturbations in the table below will cause in the composition of the mixture in the vessel. Also decide whether the equilibrium shifts to the right or left. | Perturbation | Change in Composition | Shift in Equilibrium | |----------------------------------|----------------------------------|----------------------| | The temperature is raised. | The pressure of CH₄ will | ○ to the right | | | \[ \begin{vmatrix} \end{vmatrix} \] | ○ to the left | | | | ○ (none) | | The temperature is lowered. | The pressure of CO₂ will | ○ to the right | | | \[ \begin{vmatrix} \end{vmatrix} \] | ○ to the left | | | | ○ (none) | **Explanation of the Table:** 1. **Perturbation:** Describes the change applied to the system, such as temperature changes. 2. **Change in Composition:** Predicts the change in pressure of either CH₄ or CO₂ as a result of the perturbation. 3. **Shift in Equilibrium:** Indicates the direction in which the equilibrium will shift: - "to the right" means the formation of more products. - "to the left" implies more reactants are formed. - "(none)" indicates no shift in equilibrium.
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