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

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**Chemical Equilibrium and Equilibrium Constant (Kp): Understanding Reversible Reactions**

In a given chemical reaction, equilibrium involves the balance between the forward and reverse reactions.

**Problem Statement:**

For the reaction:

\[ \text{PCl}_5(g) \rightleftharpoons \text{PCl}_3(g) + \text{Cl}_2(g) \]

The equilibrium constant, \( K_p \), is given as 1.84 at a certain temperature. Determine the value of \( K_p \) for the reverse reaction:

\[ \text{PCl}_3(g) + \text{Cl}_2(g) \rightleftharpoons \text{PCl}_5(g) \]

**Solution:**

In equilibrium chemistry, the equilibrium constant for the reverse reaction is simply the reciprocal of the equilibrium constant for the forward reaction.

Given:

\[ K_p (\text{forward}) = 1.84 \]

Therefore, the equilibrium constant for the reverse reaction is:

\[ K_p (\text{reverse}) = \frac{1}{K_p (\text{forward})} = \frac{1}{1.84} \]

This box indicates the answer, which confirms that the calculated value of \( K_p (\text{reverse}) \) is 1.84.

Understanding the relationship between forward and reverse reactions is essential for equilibrium calculations in chemistry.
Transcribed Image Text:**Chemical Equilibrium and Equilibrium Constant (Kp): Understanding Reversible Reactions** In a given chemical reaction, equilibrium involves the balance between the forward and reverse reactions. **Problem Statement:** For the reaction: \[ \text{PCl}_5(g) \rightleftharpoons \text{PCl}_3(g) + \text{Cl}_2(g) \] The equilibrium constant, \( K_p \), is given as 1.84 at a certain temperature. Determine the value of \( K_p \) for the reverse reaction: \[ \text{PCl}_3(g) + \text{Cl}_2(g) \rightleftharpoons \text{PCl}_5(g) \] **Solution:** In equilibrium chemistry, the equilibrium constant for the reverse reaction is simply the reciprocal of the equilibrium constant for the forward reaction. Given: \[ K_p (\text{forward}) = 1.84 \] Therefore, the equilibrium constant for the reverse reaction is: \[ K_p (\text{reverse}) = \frac{1}{K_p (\text{forward})} = \frac{1}{1.84} \] This box indicates the answer, which confirms that the calculated value of \( K_p (\text{reverse}) \) is 1.84. Understanding the relationship between forward and reverse reactions is essential for equilibrium calculations in chemistry.
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