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The diagrams here represent the reaction $\mathrm{A}+\mathrm{B} \longrightarrow \mathrm{C}$ carried out under different initial concentrations of $\mathrm{A}$ and $\mathrm{B}$. Determine the rate law of the reaction. (The color codes are $A=$ red, $\mathbf{B}=\operatorname{green}, \mathbf{C}=$ blue.)

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$$\text { rate }=k[\mathrm{A}][\mathrm{B}]^{2}$$

Chemistry 102

Chapter 6

Chemical Kinetics

Kinetics

Carleton College

University of Central Florida

University of Maryland - University College

Lectures

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In probability theory, the conditional probability of an event A given that another event B has occurred is defined as the probability of A given B, written as P(A|B). It is a function of the probability of B, the probability of A given B, and the probability of B.

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In chemistry, kinetics is the study of the rates of chemical reactions. The rate of a reaction is the change in concentration of a reactant over time. The rate of reaction is dependent on the concentration of the reactants, temperature, and the activation energy of the reaction.

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The diagram shown here rep…

The following diagrams rep…

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Consider the diagram that …

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The reactants A and B are …

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02:48

Hello. So they were looking at a reaction of hypothetically reaction. Where we have a reacting was feed to make seed and we have three situations here. So this is that taken at the beginning of a reaction, and then at some time afterwards, and the time is the same for all three of these. So let's take a look. If we count up the particles, we will see that we have eight A here and then eight b. Here we have a and four B and then here we have four a and eight B. So let's take a look at this. So let's compare first, the first situation in the second situation. So if we take a look, will notice that the first situation has twice the amount of B than the first Wait. The first has two times as much as the second, and we will notice if we take a look at how much blue we have. We have four times the amount of C, so when you take a look at how much see there is, that's essentially the rate, so you'll see that we double the concentration of be that led Teoh A for increase in sea and four is just two squared. So that means if we write our rate law, our rate is equal to okay temps a concentration of a to some power times the concentration of B and as we see and be it's to the second power cause we doubled it in a lead to a quadruple increase and see, So now let's take a look at third situation and the second situation here So you can see we compare these that we about the first situation has twice a smudge A as the second as the third situation. And now let's take our look at R C concentration and we see that we have that our concentration of C has doubled, so that means that are a is to the power of one. So this would be a rate law right here, so doubling the concentration of a doubles the rate and doubling the concentration of be quadruples the right. So there we go. That's it.

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