(a)
Interpretation:
If
Concept introduction:
Rate law or rate equation: The relationship between the reactant concentrations and
Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.
Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.
(a)
Explanation of Solution
The overall rate law of reaction (1) is,
When
While considering only the concentration of
So,
The overall order of the reaction is SECOND; but the order with respect to
Therefore, the overall reaction rate law is
(b)
Interpretation:
If
Concept introduction:
Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.
Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.
Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.
(b)
Explanation of Solution
The overall rate law of reaction (2) is,
When
While considering only the concentration of
So,
The overall order of the reaction is SECOND; but the order with respect to
Therefore, the overall reaction rate law is
(c)
Interpretation:
The ratio of the initial rate to the rate when the reaction is
Concept introduction:
Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.
Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.
Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.
(c)
Explanation of Solution
When the concentrations of the reactants are reduced to one-half of the initial concentration, then the reaction is considered as
For reaction (1):
The concentration
For reaction (2):
The concentration
Therefore, the ratio of the initial rate to the rate when the reaction is
(d)
Interpretation:
The ratio of the initial rate to the rate when the reaction is
Concept introduction:
Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.
Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.
Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.
(d)
Explanation of Solution
When the concentrations of the reactants are reduced to one-half of the initial concentration, then the reaction is considered as
For reaction (1):
The ratio of the initial rate to the rate when the reaction is
Therefore, the ratio of the initial rate to the rate when the reaction is
(e)
Interpretation:
The ratio of the initial rate to the rate when the reaction is
Concept introduction:
Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.
Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.
Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.
(e)
Explanation of Solution
When the concentrations of the reactants are reduced to one-half of the initial concentration, then the reaction is considered as
For reaction (2):
The ratio of the initial rate to the rate when the reaction is
Therefore, the ratio of the initial rate to the rate when the reaction is
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