For the consecutive first-order reactions: A -(K1)-> B -(K2)-> C, in what condition, [C] = [A_0] Γ ( β Chemical Kinetics Chemistry Question
Question
For the consecutive first-order reactions: A -(K1)-> B -(K2)-> C, in what condition, [C] = [A_0] Γ (1 - e^(-K1*t))?
Answer: B
π‘ Solution & Explanation
In a consecutive reaction A -> B -> C, if the second step is extremely fast compared to the first step (K2 >> K1 or K1 << K2), B acts as a highly reactive intermediate with negligible concentration ([B] β 0). Thus, any A that reacts is instantly converted to C, so [C] = [A_0] - [A] = [A_0](1 - e^(-K1*t)). While K1 << K2 is the correct physical condition, the book's printed answer key lists (b) as the correct option.
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