Express the equalibrium constant por this reaction P₁(s) + 6C1₂ (9) = 4P(13 (9)

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**Title: Calculating the Equilibrium Constant for a Chemical Reaction**

**Equation to Determine:**

Given reaction:

\[ \text{P}_4(s) + 6 \text{Cl}_2(g) \rightleftharpoons 4 \text{PCl}_3(g) \]

**Objective:**

Express the equilibrium constant (\( K_c \)) for the above reaction.

**Key Notes:**

- Solids are not included in the equilibrium expression.
- For the reaction given, only gaseous components will appear in the \( K_c \) expression.
  
**Equilibrium Expression:**

For the reaction \[ \text{P}_4(s) + 6 \text{Cl}_2(g) \rightleftharpoons 4 \text{PCl}_3(g) \]

The equilibrium constant expression is:

\[ K_c = \frac{[\text{PCl}_3]^4}{[\text{Cl}_2]^6} \]

**Considerations:**

- \( [\text{PCl}_3] \) and \( [\text{Cl}_2] \) are the concentrations of PCl₃ and Cl₂ at equilibrium.
- Initial concentrations provided are \([\text{X}] = 0.10 M\), \([\text{Y}] = 5.00 M\), \([\text{Z}] = 5.00 M\).

Given these concentrations, assume they represent PCl₃ and Cl₂ as necessary for calculating \( K_c \) with experimental or specified data.

**Conclusion:**

Understanding the method to express and calculate the equilibrium constant helps predict how a reaction mixture at equilibrium will respond to changes in concentration and pressure. Adjust the calculation based on provided equilibrium concentrations to find \( K_c \).
Transcribed Image Text:**Title: Calculating the Equilibrium Constant for a Chemical Reaction** **Equation to Determine:** Given reaction: \[ \text{P}_4(s) + 6 \text{Cl}_2(g) \rightleftharpoons 4 \text{PCl}_3(g) \] **Objective:** Express the equilibrium constant (\( K_c \)) for the above reaction. **Key Notes:** - Solids are not included in the equilibrium expression. - For the reaction given, only gaseous components will appear in the \( K_c \) expression. **Equilibrium Expression:** For the reaction \[ \text{P}_4(s) + 6 \text{Cl}_2(g) \rightleftharpoons 4 \text{PCl}_3(g) \] The equilibrium constant expression is: \[ K_c = \frac{[\text{PCl}_3]^4}{[\text{Cl}_2]^6} \] **Considerations:** - \( [\text{PCl}_3] \) and \( [\text{Cl}_2] \) are the concentrations of PCl₃ and Cl₂ at equilibrium. - Initial concentrations provided are \([\text{X}] = 0.10 M\), \([\text{Y}] = 5.00 M\), \([\text{Z}] = 5.00 M\). Given these concentrations, assume they represent PCl₃ and Cl₂ as necessary for calculating \( K_c \) with experimental or specified data. **Conclusion:** Understanding the method to express and calculate the equilibrium constant helps predict how a reaction mixture at equilibrium will respond to changes in concentration and pressure. Adjust the calculation based on provided equilibrium concentrations to find \( K_c \).
Expert Solution
Step 1

Equilibrium constant expression is the ratio of gaseous product to the gaseous reactant and its coefficient present in its power of concentration.

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