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Doubling the concentration of a reactant increases the rate of a reaction four times. With this knowledge,answer the following questions:(a) What is the order of the reaction with respect to that reactant?(b) Tripling the concentration of a different reactant increases the rate of a reaction three times. What is the order of the reaction with respect to that reactant?

$1^{2}=1$$z^{2}=4$Rate $=K[A]^{2}[B]^{1}$

Chemistry 102

Chapter 12

Kinetics

Rice University

University of Maryland - University College

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So this question has two parts to it. The first part says, um, doubling the concentration of reacting increases the rate of a reaction four times. Then it says, What is the order of the reaction in respect to that reactant, and to figure out how to answer this first part, Um, we can just do some like, basic logic and put in some, um, random numbers to see how they work out. Until we can say that, let's say our concentration, um, to begin with is, let's say one, and it's to the power of X because we don't know what that ISS and the reaction rate is. Why. And so let's say we double the reaction or double the concentration, like the questions says. So I'll say it's now two, then it has the same order. But our, um, reaction rate is now four times that. So now we have four. Why? And so now to figure out how to pay, uh, what are value of X is what our order is. We can just plug in some numbers and see if they work out, and so one to the power of one is just one, and so are. Why would equal, um one? So one to the power of one equals one. And so we double that two to the power of one just equals two. And so that is not correct. And so now we can try to so one to the power of two. That's just one. And let's see two to the power of two that equals four. So this one checks out. So for the first part of our question, um, it would be, Let's see what? It wasn't asking. What is the order? So now we can say that the order is second order. So for the second part of the question, it says tripling the concentration of a different reactant increases the reaction rate three times. What is the order of the reaction in respect to that reactive. So by the same logic, we can say one to the power of X equals y. And what does it say? Tripling it three to the power of X equals three y. And so we start by plugging in our random values again, Um, we can see that one to the power of one equals one and three to the power of one equals three. And so this checks out. And so we know for that react in the order is first order. Um, and so we go back. This isn't in the question, but just two. Add this in if we're rating. If we were writing our great expression, we could write it as rate equals our rate constant. And let's say this was, um a then our concentration of a to the second power. And then if this was be, then it would be our concentration of B to the first power.

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