(a)
Interpretation:
The expression for time at which the amount of
Concept introduction:
The rate of a reaction is defined as the speed by which the reaction is proceeding. The rate of reaction depends on several factors such as the concentration of reactant and temperature.
Answer to Problem 20.54E
The expression for time at which the amount of
Explanation of Solution
The
Where,
•
•
•
The derivation of the above expression with respect to time is taken as follows.
For the maximum amount of
The natural logarithm is taken on both sides as shown below.
Therefore, the expression for time at which the amount of
The expression for time at which the amount of
(b)
Interpretation:
The specific amounts of
Concept introduction:
The rate of a reaction is defined as the speed by which the reaction is proceeding. The rate of reaction depends on several factors such as the concentration of reactant and temperature.
Answer to Problem 20.54E
The value of time is
Explanation of Solution
The reaction in Example 20.7 is shown below.
The half-lives,
Conversion of half-lives from days to seconds is shown below.
Substitute
Substitute
The half-lives,
The rate constant for first order reaction is given by the formula shown below.
Where,
•
Substitute
Substitute
The value of
The expression for time is given as follows:
Substitute the value of
The value of
The Equation 20.47 is given as follows.
Where,
•
•
•
•
•
The above expression in terms of concentration of
From the graph in example 20.7, the
Substitute
Substitute
Substitute
Therefore, the specific amounts of
The value of time is
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Chapter 20 Solutions
Physical Chemistry
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