The following reaction is first order in A (red spheres) and first order in B (blue spheres): A + B → Products Rate = k[A][B]

(b) What are the relative values of the rate constant k for vessels (1)–(4)?

Video transcript

Hello everyone today. We have the following question shown below are vessels of a reaction that is first order in both A. That has the green spheres and B. Which are the yellow spheres. And has a rate which is the rate is equal to some constant K. Times the concentration of a, times the concentration to be estimate the values of the rate constant K. For all of the vessels. So before we do that, let's recall at the rate constant K. Go ahead and rewrite that the rate constant K. Is proportionately continent and does not depend on the concentration of molecules. So let's go ahead and write that out. So we said, the rate constant is proportionally constant and it's independent of the concentration of the molecules. In other words, even if the number of green spirits and yellow spheres varies, the rate is going to remain the same and the temperature of all the vessels is going to be constant. So let's look at the following vessels. So essentially the rate constants are going to be the same. So the rate constants, the rate constants will be the same. And so why would they be the same? Once again, the rate like contents will be the same because the same reaction is occurring in all of the vessels. You're having these green spheres react with these yellow spheres in each of these reactions. And so we say that the rate constants will be the same. And with that we've answered the question overall, I hope this helped. And until next time