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At $25^{\circ} \mathrm{C},$ the rate constant for the ozone-depleting reaction $\mathrm{O}(g)+\mathrm{O}_{3}(g) \longrightarrow 2 \mathrm{O}_{2}(g)$ is $7.9 \times 10^{-15}$$\mathrm{cm}^{3} /$ molecule $\cdot$ s. Express the rate constant in units of $1 / M \cdot \mathrm{s}$.

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$$4.8 \times 10^{6} \frac{1}{M I \cdot \mathrm{s}}$$

Chemistry 102

Chapter 6

Chemical Kinetics

Kinetics

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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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Okay, So in this question, they tell us K is you go to 7.9 times 10 to the negative 15 Samir's Cube per molecule Time seconds. And they want in. Permal aren t time second. So we know that 1000 centimeters Cuba's you goto one leader and we need we know that one mo is equal to 6.2 times sensor, 23rd molecules. And we also know that one of the units that the wanted in and Mileti is the go to leaders over most. Right, So let's set this up. So we have 7.9 times 10 to the negative. 15 7 meters. Keep over molecule terms of by seconds. Right. So how can we get rid of Centimeters Cube? Well, we can use this right here. You know that one leader does he go to 1000 centimeters? Cute, right? And how can we get rid of molecules? Well, we know that 6.2 times 10 to the 23rd essentially 23rd molecule. Does he go toe one mo Right now? Let's look at the units. What centimeters? Cute cancels out the centimeters cube on the bottom and Then the bottom mo molecules cancels out the molecules on top. Right now we're left with 4.8 times. 10 to the sixth, Leaders for mo time. Seconds. Right. But what is leaders divided by most? Right here. Right, So we get the anti was four point age times 10 2 d six care perm. Mileti Time seconds. Which is what the they want the

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