SO₂(g) + Cl₂(g) = SO₂Cl₂(g) ΔΗ° = −264 kJ K = 34.5 When the reaction is altered, as below, what is the value of the new equilibrium constant? 3SO₂(g) + 3Cl₂(g) = 3SO₂Cl₂(g) K' = [?]

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**Chemical Equilibrium and Equilibrium Constant Changes**

**Original Reaction:**
\[ \text{SO}_2(\text{g}) + \text{Cl}_2(\text{g}) \rightleftharpoons \text{SO}_2\text{Cl}_2(\text{g}) \]
\[ \Delta H^\circ = -264 \, \text{kJ} \quad K = 34.5 \]

**Altered Reaction:**
\[ 3\text{SO}_2(\text{g}) + 3\text{Cl}_2(\text{g}) \rightleftharpoons 3\text{SO}_2\text{Cl}_2(\text{g}) \]
\[ K' = [ \, ? \, ] \]

---

**Problem Statement:**
When the reaction is altered as shown above, what is the value of the new equilibrium constant?

*Hint: Consider how the equilibrium constant \( K \) changes when the coefficients of the balanced equation are multiplied by a factor.*

---

**Explanation:**
- The problem involves determining the new equilibrium constant \( K' \) for the altered reaction.
- The alteration involves multiplying all coefficients in the original reaction by 3.

In equilibrium constant calculations, if the coefficients of a balanced chemical equation are multiplied by a factor \( n \), the new equilibrium constant \( K' \) is given by:

\[ K' = K^n \]

Thus, for this specific case:

\[ K' = (34.5)^3 \]

**Interactive Section:**

___
\[ \boxed{
\begin{array}{c}
\text{Enter the value of } K' \\
\text{} \\
\text{K'} \quad \text{[ \, \, \, \, \, \, \, \, ]} \quad \text{Enter}
\end{array}
} \]

---
Transcribed Image Text:**Chemical Equilibrium and Equilibrium Constant Changes** **Original Reaction:** \[ \text{SO}_2(\text{g}) + \text{Cl}_2(\text{g}) \rightleftharpoons \text{SO}_2\text{Cl}_2(\text{g}) \] \[ \Delta H^\circ = -264 \, \text{kJ} \quad K = 34.5 \] **Altered Reaction:** \[ 3\text{SO}_2(\text{g}) + 3\text{Cl}_2(\text{g}) \rightleftharpoons 3\text{SO}_2\text{Cl}_2(\text{g}) \] \[ K' = [ \, ? \, ] \] --- **Problem Statement:** When the reaction is altered as shown above, what is the value of the new equilibrium constant? *Hint: Consider how the equilibrium constant \( K \) changes when the coefficients of the balanced equation are multiplied by a factor.* --- **Explanation:** - The problem involves determining the new equilibrium constant \( K' \) for the altered reaction. - The alteration involves multiplying all coefficients in the original reaction by 3. In equilibrium constant calculations, if the coefficients of a balanced chemical equation are multiplied by a factor \( n \), the new equilibrium constant \( K' \) is given by: \[ K' = K^n \] Thus, for this specific case: \[ K' = (34.5)^3 \] **Interactive Section:** ___ \[ \boxed{ \begin{array}{c} \text{Enter the value of } K' \\ \text{} \\ \text{K'} \quad \text{[ \, \, \, \, \, \, \, \, ]} \quad \text{Enter} \end{array} } \] ---
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