(a)
Interpretation:
The reaction order with respect to each reactant has to be found.
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 reaction rate of the
Let’s find the order of reactant
Let’s find the order of reactant
Let’s find the order of reactant
In order to figure out the reaction equation the order of the reactants needed, which is calculated by comparing any two experiments where the concentration of two reactants are constant and another varies, and in vice-versa. Hence, Rate equation is
The respective order of reactant (A) is SECOND ORDER.
The respective order of reactant (B) is ZERO ORDER.
The respective order of reactant (C) is FIRST ORDER.
Hence, the reaction rate becomes,
(b)
Interpretation: The value of ‘k’ of the given reaction has to be found.
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 value of rate constant:
Consider, any one of the given experimental value,
Substituting the above values into the reaction rate, the rate constant ‘k’ value is obtained as follows,
The rate constant value is obtained as shown above. By substituting the any one of the concentrations of reactants and the initial rate into the reaction equation obtained at first.
Hence, the value of rate constant is
(c)
Interpretation: The rate law for the given reaction has to be written.
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 value of rate constant:
Consider, any one of the given experimental value,
Substituting the above values into the reaction rate, the rate constant ‘k’ value is obtained as follows,
The rate constant value is obtained as shown above. By substituting the any one of the concentrations of reactants and the initial rate into the reaction equation obtained at first.
Hence, the value of rate constant is
By substituting the rate constant value into the obtained rate law,
The rate law becomes,
(d)
Interpretation:
The rate in terms of changes with time for each of the components has to be written.
Concept introduction:
Rate of the reaction is the change in the concentration of reactant or a product with time.
For a general reaction,
The negative sign indicates the reduction of concentration of reactant.
(d)
Explanation of Solution
The balanced equation for given reaction is,
Rate expression of the above reaction is,
The negative sign indicates the reduction of concentration of reactant A, B, and C. The coefficient of reactant A, B, and product E are written in reciprocal as
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