Reaction Kinetics and Dimensional Analysis (a) Consider an example first-order reaction of the nuclear decay of element A: A+B+C where B and C are the products of the decay. The reaction is said to be first-order because, at a given time, the rate at which the molar concentration of A, denoted as [A] (mol/L), decreases is proportional to the molar concentration of A at that time: d[A] dt = -k[A] Here, k, the proportionality constant, is known as the rate constant. Let time be measured in seconds. Determine the units for the rate constant k. The dissociation of hydrogen iodide (a.k.a., HI) is a second-order process, which means d[HI] dt = -k[HI]² et time be measured in seconds. Determine the units for the rate constant k for this particu action.

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1. Reaction Kinetics and Dimensional Analysis
(a) Consider an example first-order reaction of the nuclear decay of element A:
A+B+C
where B and C are the products of the decay. The reaction is said to be first-order because, at a
given time, the rate at which the molar concentration of A, denoted as [A] (mol/L), decreases is
proportional to the molar concentration of A at that time:
d[A]
dt
= -k[A]
Here, k, the proportionality constant, is known as the rate constant. Let time be measured in
seconds. Determine the units for the rate constant k.
b) The dissociation of hydrogen iodide (a.k.a., HI) is a second-order process, which means
d[HI]
dt
=
-k[HI]²
Let time be measured in seconds. Determine the units for the rate constant k for this particul
reaction.
Transcribed Image Text:1. Reaction Kinetics and Dimensional Analysis (a) Consider an example first-order reaction of the nuclear decay of element A: A+B+C where B and C are the products of the decay. The reaction is said to be first-order because, at a given time, the rate at which the molar concentration of A, denoted as [A] (mol/L), decreases is proportional to the molar concentration of A at that time: d[A] dt = -k[A] Here, k, the proportionality constant, is known as the rate constant. Let time be measured in seconds. Determine the units for the rate constant k. b) The dissociation of hydrogen iodide (a.k.a., HI) is a second-order process, which means d[HI] dt = -k[HI]² Let time be measured in seconds. Determine the units for the rate constant k for this particul reaction.
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