(g) → PCI3(g) + Cl2(g) has Kp = 1.84 at a given temperature. What is the value p for the reaction PCI3(g) + Cl2(g)<>PCI5(g) at the same temperature? 1.84

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Chapter1: Chemical Foundations
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**Equilibrium Constants and Reversed Reactions**

When considering chemical equilibrium, it's important to understand how equilibrium constants change when reactions are reversed. Let's examine a practical example:

**Given Reaction:**
\[ \text{PCl}_5(g) \rightleftharpoons \text{PCl}_3(g) + \text{Cl}_2(g) \]
- Equilibrium constant (\(K_p\)) = 1.84 at a specific temperature.

**Question:**
What is the value of \(K_p\) for the reversed reaction at the same temperature?
\[ \text{PCl}_3(g) + \text{Cl}_2(g) \rightleftharpoons \text{PCl}_5(g) \]

**Answer:**
For a reaction that is reversed, the equilibrium constant is the reciprocal of the original equilibrium constant.

**Calculation:**
\[ K_p(\text{reversed}) = \frac{1}{K_p(\text{original})} = \frac{1}{1.84} \approx 0.5435 \]

Thus, the \(K_p\) for the reaction \(\text{PCl}_3(g) + \text{Cl}_2(g) \rightleftharpoons \text{PCl}_5(g)\) is approximately 0.5435 at the same temperature.
Transcribed Image Text:**Equilibrium Constants and Reversed Reactions** When considering chemical equilibrium, it's important to understand how equilibrium constants change when reactions are reversed. Let's examine a practical example: **Given Reaction:** \[ \text{PCl}_5(g) \rightleftharpoons \text{PCl}_3(g) + \text{Cl}_2(g) \] - Equilibrium constant (\(K_p\)) = 1.84 at a specific temperature. **Question:** What is the value of \(K_p\) for the reversed reaction at the same temperature? \[ \text{PCl}_3(g) + \text{Cl}_2(g) \rightleftharpoons \text{PCl}_5(g) \] **Answer:** For a reaction that is reversed, the equilibrium constant is the reciprocal of the original equilibrium constant. **Calculation:** \[ K_p(\text{reversed}) = \frac{1}{K_p(\text{original})} = \frac{1}{1.84} \approx 0.5435 \] Thus, the \(K_p\) for the reaction \(\text{PCl}_3(g) + \text{Cl}_2(g) \rightleftharpoons \text{PCl}_5(g)\) is approximately 0.5435 at the same temperature.
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