Question:

A ⇌ B ⇌ C reactions are at equilibrium. Given \(k_1 = 0.1\), \(k_{-1} = 0.2\), \(k_2 = 1\), \(k_{-2} = 10\), \(k_3 = 10\). Determine \(k_{-3}\) (round to 1 decimal). 

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For cyclic equilibrium reactions, multiply forward and reverse constants to relate unknown rates.
Updated On: Jan 2, 2026
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Correct Answer: 0.5

Solution and Explanation

At equilibrium, product of forward rate constants = product of reverse rate constants: \[ k_1 k_2 k_3 = k_{-1} k_{-2} k_{-3} \] Insert values: \[ 0.1 \times 1 \times 10 = 0.2 \times 10 \times k_{-3} \] \[ 1 = 2 \, k_{-3} \] \[ k_{-3} = 0.5 \] Final answer: 0.5.
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