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The reaction $2 \mathrm{A}+3 \mathrm{B} \longrightarrow \mathrm{C}$ is first order with respect to $A$ and $B$. When the initial concentrations are $[\mathrm{A}]=1.6 \times 10^{-2} \mathrm{M}$ and $[\mathrm{B}]=2.4 \times 10^{-3} \mathrm{M},$ the rate is $4.1 \times 10^{-4} \mathrm{M} / \mathrm{s}$. Calculate the rate constant of the reaction.

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$$11 M^{-1} \mathrm{s}^{-1}$$

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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Hello. So today we're looking out of reaction that IHS first order in respects to the concentration of A and the concentration of B. And at some point the concentration of A is 1.6 times sent to the negative, too. Concentration of B is 2.4 times 10 to the negative three, and our rate is 4.1 times 10 to the negative four. So what would be our rate? Constant? Well, this is very simple. If you remember, the rate law rate is equal to concentration is equal to the rate constant times the concentration of a and since its first order in respect to a there's just a little one there, and it's also first order in respect to be so There's a little one there, so it's just a concentration off A and B this concentration of eight times the constitution of B times, the rate constant is the rate. So how about we just plug in some values and now we'll just solve four k, so we're going to have that 4.1 times 10 Still negative for leader Mullah Araji over seconds is equal to 3.8 times 10 to the negative five polarity squared times K. So then we divide and we will see that the answer is 11 universe similarity and in for seconds. And there we go. So we found the rate constant By knowing what order A and B where we could find. And when knowing the rate in the concentrations, we can easily find the right constant.

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