Consider the first-order decomposition of A molecules (red spheres) in three vessels of equal volume. (1)-(3)

(c) How will the rates and half-lives be affected if the volume of each vessel is decreased by a factor of 2?

Video transcript

Hello. Everyone in this video, We're given a first order reaction of these A molecules. So these gray spheres in these boxes. So these here, for example, and this occurs in three different vessels, vessel one vessel to vessel three were being asked if the volume of each vessel is increased by a factor of two will happen to the rates and the half lives of the reaction. So since the volume is increased by a factor of two, the concentration of these molecules will also be halved and a first order reaction, the rate is proportional to the concentration of the molecule. Therefore the rates will also be halved. So have lives are independent of concentration. Therefore the have lives here are going to be unaffected and as for other rates, they are proportional to the concentration of the molecule. So basically what we're trying to say here is that the rates well B have. So these two statements and highlight is going to be my final answer for this problem.