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The following diagrams represent the progress of the reaction $\mathrm{A} \longrightarrow \mathrm{B},$ where the red spheres represent $\mathrm{A}$ molecules and the green spheres represent B molecules. Calculate the rate constant of the reaction.

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$$0.0347 \mathrm{s}^{-1}$$

Chemistry 102

Chapter 6

Chemical Kinetics

Kinetics

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22:42

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 following pictures rep…

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The following diagram rep…

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Consider the diagram that …

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The reaction of A (red sph…

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Consider the diagram below…

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The following diagram repr…

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The reaction between react…

All right, so in this question, they want us to calculate, Do you rate constant of this reaction? Right. We know this reaction is a first order reaction, right? It's Ray is okay. Times concentration of a right. So how do we do this? So you know where to find you. Rate constant K. How we need is to determine the half life. Using the information given to us. I saw the half life equation for a first order. Reaction is t half life is he go to Ellen to over K and K. Is what we're trying to soft war. So let's isolate K. I have removed like a on both sides. We get k times by t half life. Is he going to Ellen to And every divide both sides by half life we get K is equal to Ellen to over the half life. Now, how do we determine the half life of this reaction? Right. So let's look at the figure up here. We see that there is 12 red molecules in the zero seconds and at 20 seconds, we see that there is only six left. This means 1/2 of the molecule are converted to the green. Uh, green steers or the product. Right. So what is the half life of this red molecule? Well, it's 20 seconds. You have five is 20 seconds. Because the half life the half life means that the concentration is decreased to half of its original, right? And we see that it's originalist 12. It decreased to six. That's half. And then we can be sure of this by looking at this figure and this figure, we see that we start with six red and then 20 seconds later Christ, the difference between 20 seconds and 40 seconds. Here is 20 seconds. We see the 20 cents earlier. Half of six disappears, right, So three disappears and becomes two green spheres. Eso the half life is 20 seconds. Now all we need is to use this equation. Ellen two is equal 2.693 divided by the half light, which is 20. And we get the answer to be points 0347 because 0.3 for seven per second as our answer

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