Webpage title: What are the Rate Equations for a Parallel Reversible Reaction?

In summary, the rate equations for a parallel reversible reaction involving A, B, and C are:d[A]/dt = -k1[A] + k2[B] - k3[A] + k4[C]d[B]/dt = k1[A] - k2[B]d[C]/dt = k3[A] - k4[C]
  • #1
adl2114
7
0
I know the rate equations for a parallel reaction are
d[A]/dt =-k1[A]-k2[A]
d/dt =k1[A]
d[C]/dt =k2[A]

and I know that the rate equations for a reversible reaction are
d[A1]/dt =-k1[A1]+k2[A2]
d[A2]/dt =k1[A1]-k2[A2]-k3[A2]+k4[A3]
d[A3]/dt =k3[A2]-k4[A3]

But what would d[A]/dt, d/dt, and d[C]/dt be for a parallel reversible reaction be such as
A<--->B where --->k1 and <---k2
A<--->C where --->k3 and <---k4

where t is time of course and it's a first order reaction
 
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  • #2
The concentration of A is going to depend on the rates of all of the reactions that involve A. In your reversible case, A is used up by both the k1 and k3 reactions, and produced by both the k2 and k4 reactions.

d[A]/dt = -k1[A] + k2 - k3[A] + k4[C]

Similarly, the concentration of B will depend on the k1 and k2 steps:

d/dt = k1[A] - k2

and the concentration of C will depend on the k3 and k4 steps:

d[C]/dt = k3[A] - k4[C]
 

1. What is a reaction rate equation?

A reaction rate equation is a mathematical expression that describes the relationship between the rate of a chemical reaction and the concentrations of the reactants. It can be used to predict how quickly a reaction will occur under certain conditions.

2. How is a reaction rate equation determined?

A reaction rate equation is determined through experiments where the concentrations of the reactants are varied and the resulting reaction rates are measured. This data is then used to derive the equation that best fits the observed relationship between concentration and rate.

3. What factors can affect the rate of a reaction?

The rate of a reaction can be affected by several factors, including temperature, concentration of reactants, presence of catalysts, and surface area. These factors can alter the energy of the reactants and the frequency of successful collisions, thus impacting the rate of the reaction.

4. How do you interpret a reaction rate equation?

A reaction rate equation usually includes coefficients that represent the reaction order for each reactant. The reaction order determines how the concentration of a reactant affects the rate of the reaction. For example, a reaction with a first-order coefficient will have a rate that is directly proportional to the concentration of that reactant.

5. Can reaction rate equations be used to predict the outcome of a reaction?

No, reaction rate equations only describe the rate of a reaction. They cannot predict the products or final state of a reaction. Additional information, such as the stoichiometry of the reaction, is needed to determine the outcome of a reaction.

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