Question Detail
Question
For the reaction: 2A + B ⇌ 3C, K = 2.0. What is the value of K for the reaction 6C ⇌ 4A + 2B at the same temperature?
Correct Answer
Option A is the correct answer.
Detailed Explanation
The target reaction is the reverse of the original multiplied by 2. For reverse: K_rev = 1/2.0 = 0.5. Then multiplying by 2 squares K: K_new = (0.5)² = 0.25. Wait, check: Original: 2A + B ⇌ 3C, K₁ = [C]³/[A]²[B] = 2.0. Target: 6C ⇌ 4A + 2B, K₂ = [A]⁴[B]²/[C]⁶ = (1/K₁)² = (1/2)² = 1/4 = 0.25. But options: 0.125, 0.25, 4.0, 8.0. 0.25 is correct. However, the original pattern answer was 0.063 for a different problem. For this one, the correct similar answer is 0.25.
Hint
Reversing inverts K, multiplying coefficients raises K to that power.