Concept explainers
(a)
Interpretation:
The faster reaction from the given two reactions is to be predicted and the factor by which the one reaction is faster than the other is to be calculated.
Concept introduction:
The rate of the reaction is affected by the free energy of activation of the reaction. The relationship between the free energy of activation and
Where,
•
•
•
Answer to Problem 4.28P
The reaction B is faster than the reaction A by a factor of
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 and B, gas constant and temperature in the given formula.
Inverse of the logarithm is taken on both the sides of the equation.
Thus, from the equation (1), the reaction B is faster than the reaction A by a factor of
The reaction B is faster than the reaction A by a factor of
(b)
Interpretation:
The increase in temperature of the slower reaction such that its rate becomes equal to that of faster reaction is to be calculated.
Concept introduction:
The rate of the reaction is affected by the free energy of activation of the reaction. The relationship between the free energy of activation and rate of reaction is given by,
Where,
•
•
•
Answer to Problem 4.28P
The increase in temperature of the slower reaction such that its rate becomes equal to that of faster reaction is
Explanation of Solution
It is given that standard free energy of activation of reaction A is
The rate of the reaction is expressed as,
Where,
•
•
•
The temperature for reaction A at which rate of reaction of A and B are equal is given by
Take log on both sides of equation.
Substitute the activation energy for reaction A and B, and temperature for reaction B in the given equation (2).
Thus, the increase in temperature of the slower reaction such that its rate becomes equal to that of faster reaction is
The increase in temperature of the slower reaction such that its rate becomes equal to that of faster reaction is
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Chapter 4 Solutions
Loose-leaf Version For Organic Chemistry
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