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Ch.15 - Chemical Kinetics

Chapter 15, Problem 48c

Indicate the order of reaction consistent with each observation c. The half-life of the reaction gets longer as the initial concentration is increased.

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Hey everyone in this example, we need to determine the order of the reaction for reaction with a half life that increases as the initial concentration is increasing as well. So what we're going to think of is the following formula where we can calculate the half life of a reaction by taking our initial concentration of our reactant and placing that over two, multiplied by our rate constant K. And we should recall that. This formula represents the half life for a zero order reaction, or we can just say zero order reaction. And so we would recognize that therefore based on this formula, we can say that half life of a reaction is directly related to the initial concentration of our reactant. And so what that means is that as we increase our half life, we would therefore also increase our initial concentration of our reactant. And based on what we've outlined, we can confirm that the correct answer choice to complete this example is going to be choice D. Which says that the reaction is zero order. So I hope that everything I explained was clear. If you have any questions, please leave them down below. Otherwise I'll see everyone in the next practice video
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