(a)
Interpretation:
The standard free energy of activation of reaction B is to be calculated.
Concept introduction:
The rate of the reaction is affected by the activation free energy of the reaction. The relationship between the activation free energy and
Where,
•
•
•
Answer to Problem 4.29P
The standard free energy of activation for reaction B is
Explanation of Solution
It is given that standard free energy of activation of reaction A is
The relative rates of two reactions are expressed as,
Where,
•
•
•
Substitute the activation energy for reaction A, the relative rate of A and B, gas constant and temperature in the given formula.
Rearrange the above equation for the calculation of activation energy of B as shown below.
Thus, standard free energy of activation for reaction B is
The standard free energy of activation for reaction B is
(b)
Interpretation:
The reaction free energy diagram for the two reactions showing the two values of
Concept introduction:
The transition state is formed during the conversion of reactants into products in the
Answer to Problem 4.29P
The reaction free-energy diagram for the reaction A showing the two values of
The reaction free-energy diagram for the reaction B showing the two values of
Explanation of Solution
It is given that standard free energy of activation of reaction A is
The reaction free-energy diagram for the reaction A showing the two values of
Figure 1
This diagram represents the plot between standard free energy and the reaction coordinates. The point at which the energy is maximum represents the transition state of the reaction.
The reaction free energy diagram for the reaction B showing the two values of
Figure 2
The reaction free-energy diagram for the two reactions showing the two values of
(c)
Interpretation:
The standard free energy of activation of the reverse reaction in both reactions A and B is to be calculated.
Concept introduction:
The free energy diagram represents the plot between standard free energy and the reaction coordinates. The point at which the energy is maximum represents the transition state of the reaction.
Answer to Problem 4.29P
The standard free energy of activation of the reverse reaction in both reactions A and B is
Explanation of Solution
It is given that standard free energy of activation of reaction A is
The products of each reaction are
The standard free energy of activation of the reverse reaction A is,
Thus, the standard free energy of activation of the reverse reaction A is
The standard free energy of activation of the reverse reaction B is,
Thus, the standard free energy of activation of the reverse reaction A is
The standard free energy of activation of the reverse reaction in both reactions A and B is
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Chapter 4 Solutions
Organic Chemistry
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- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning