Questions: Select the new equilibrium constant, K, of a reaction multiplied by a factor n, that is n(a A+b B ↔ c C+d D). K=n K K=K/n K=K^n

Select the new equilibrium constant, K, of a reaction multiplied by a factor n, that is n(a A+b B ↔ c C+d D).
K=n K
K=K/n
K=K^n
Transcript text: Select the new equilibrium constant, $K$, of a reaction multiplied by a factor $n$, that is $n(a A+b B \rightleftharpoons c C+d D)$. $K=n K$ $K=\frac{K}{n}$ $K=K^{n}$
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Solution

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Solution Steps

Step 1: Understanding the Reaction Multiplication

When a chemical reaction is multiplied by a factor \( n \), the equilibrium constant \( K \) is affected by this change.

Step 2: Applying the Factor to the Reaction

For the reaction \( aA + bB \rightleftharpoons cC + dD \) with equilibrium constant \( K \), if we multiply the entire reaction by a factor \( n \), the new reaction becomes \( naA + nbB \rightleftharpoons ncC + ndD \).

Step 3: Determining the New Equilibrium Constant

The new equilibrium constant \( K' \) for the reaction multiplied by \( n \) is given by \( K' = K^n \).

Thus, the correct answer is \( K = K^n \).

Final Answer

\(\boxed{K = K^n}\)

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