
(a)
Interpretation:
The rate law in absence of a catalyst has to be determined.
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.
(a)

Explanation of Solution
The term ‘m’ represents the order of reaction with respect to
Calculating the concentration of both A and B reactants in order to find the order of the reactants:
In reaction mixture (I):
Concentration of A
Concentration of B
Reaction rate of mixture (I) is,
In reaction mixture (II):
Concentration of A
Concentration of B
Reaction rate of mixture (II) is,
In reaction mixture (III):
Concentration of A
Concentration of B
Reaction rate of mixture (III) is,
Order of reactant is determined as follows,
Thus, the order with respect to reactant A is first order.
Thus, the order with respect to reactant B is Zero order.
Therefore, the rate law of reaction in absence of catalyst is,
(b)
Interpretation:
The overall reaction order has to be predicted.
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 order of the given reaction is, FIRST ORDER.
(c)
Interpretation:
The value of the rate constant has to be calculated.
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
The rate law of the given reaction is,
Substituting the required values from experiment (I) into the above reaction rate is,
Hence, the value of rate constant is
(d)
Interpretation:
The gray cubes in the experiment (IV) whether catalytic effect has or not has to be explained.
Concept introduction:
Catalyst: A substance or a compound which promotes the rate of a
(d)

Explanation of Solution
The rate law of the given reaction is,
In reaction mixture (IV):
Concentration of A
Concentration of B
Substituting the required values from experiment (IV) into the above reaction rate is,
Hence, the value of rate constant is
Therefore, the gray pellets have a catalytic effect. The rate of reaction and the rate constant are greater with the pellets than without.
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Chapter 16 Solutions
Loose Leaf for Chemistry: The Molecular Nature of Matter and Change
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