The half-life of a reaction, f/2. is the time required for one-half of a reactant to be consumed. It is the time during which the amount of reactant or its concentration decreases to one-half of its initial value Determine the half-life for the reaction in Part B using the integrated rate law, given that the initial concentration is 1.50 mol-L and the rate constant is 0.0012 mol-L-s Express your answer to two significant figures and include the appropriate units. ▸ View Available Hint(s)
The half-life of a reaction, f/2. is the time required for one-half of a reactant to be consumed. It is the time during which the amount of reactant or its concentration decreases to one-half of its initial value Determine the half-life for the reaction in Part B using the integrated rate law, given that the initial concentration is 1.50 mol-L and the rate constant is 0.0012 mol-L-s Express your answer to two significant figures and include the appropriate units. ▸ View Available Hint(s)
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![Learning Goal:
To understand zero-order reactions.
Chemical kinetics is the study of the speed with which a chemical reaction occurs and the
factors that affect this speed. The speed of a reaction is the rate at which the
concentrations of reactants and products change. This relationship is expressed through
rate laws.
For a general reaction aA + bB
gG+ hH, the rate law is given as
rate of reaction = k[A] [B]"
where the coefficients and are experimentally determined while a, b, g, and h are
stoichiometric coefficients unrelated to me and m
Azero-order reaction has a rate law in which the sum of the exponents m+n+... is
equal to zero. Thus, if there is only one reactant, the rate of reaction is independent of the
concentration of the reactant.
For a zero-order reaction, the graph of reactant concentration versus time is a straight line.
Therefore, the rate-law equation for a zero-order reaction can be compared to that of a
straight line, y = mz+b.
In the hydrogenation of ethylene using a nickel catalyst, the initial concentration of ethylene is 1.50 mol-L-¹ and its rate constant (k) is 0.0012 mol-Ls. Determine the rate of reaction if it follows a zero-
order reaction mechanism.
Express your answer to two significant figures and include the appropriate units.
▸ View Available Hint(s)
rate of reaction = 1.2x10-3 mol-L-¹-1
Submit
✓ Correct
Previous Answers
Integrated rate law for a zero-order reaction
The integrated rate law for a chemical reaction is a relationship between the concentrations of the reactants and time. Consider a single reactant A decomposing into products: A → products.
For a zero-order reaction,
Because the rate of the reaction is -A[A]/At, the above rate law can be written as
On integrating this differential equation, the integrated rate law for a zero-order reaction is obtained:
▾ Part C
[A] = -kt +[A]o
where [A], is the concentration at time t, le is the rate constant, and [A]o is the initial concentration. The variation in concentration with time provides a detailed description of how fast the reaction is occurring.
Submit
rate k
The half-life of a reaction, t₁/2, is the time required for one-half of a reactant to be consumed. It is the time during which the amount of reactant or its concentration decreases to one-half of its initial value.Determine
the half-life for the reaction in Part B using the integrated rate law, given that the initial concentration is 1.50 mol-L and the rate constant is 0.0012 mol-L-¹-s-¹.
Express your answer to two significant figures and include the appropriate units.
▸ View Available Hint(s)
Templates Symbols undo redo Teset keyboard shortcuts help
Units
t1/2 = Value
-A[A]
At](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F293c8ac7-d65e-4987-88ce-2abf44da1ee7%2F6241949c-72a3-4ae9-8912-e9876fa1e4cb%2F0c9if65_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Learning Goal:
To understand zero-order reactions.
Chemical kinetics is the study of the speed with which a chemical reaction occurs and the
factors that affect this speed. The speed of a reaction is the rate at which the
concentrations of reactants and products change. This relationship is expressed through
rate laws.
For a general reaction aA + bB
gG+ hH, the rate law is given as
rate of reaction = k[A] [B]"
where the coefficients and are experimentally determined while a, b, g, and h are
stoichiometric coefficients unrelated to me and m
Azero-order reaction has a rate law in which the sum of the exponents m+n+... is
equal to zero. Thus, if there is only one reactant, the rate of reaction is independent of the
concentration of the reactant.
For a zero-order reaction, the graph of reactant concentration versus time is a straight line.
Therefore, the rate-law equation for a zero-order reaction can be compared to that of a
straight line, y = mz+b.
In the hydrogenation of ethylene using a nickel catalyst, the initial concentration of ethylene is 1.50 mol-L-¹ and its rate constant (k) is 0.0012 mol-Ls. Determine the rate of reaction if it follows a zero-
order reaction mechanism.
Express your answer to two significant figures and include the appropriate units.
▸ View Available Hint(s)
rate of reaction = 1.2x10-3 mol-L-¹-1
Submit
✓ Correct
Previous Answers
Integrated rate law for a zero-order reaction
The integrated rate law for a chemical reaction is a relationship between the concentrations of the reactants and time. Consider a single reactant A decomposing into products: A → products.
For a zero-order reaction,
Because the rate of the reaction is -A[A]/At, the above rate law can be written as
On integrating this differential equation, the integrated rate law for a zero-order reaction is obtained:
▾ Part C
[A] = -kt +[A]o
where [A], is the concentration at time t, le is the rate constant, and [A]o is the initial concentration. The variation in concentration with time provides a detailed description of how fast the reaction is occurring.
Submit
rate k
The half-life of a reaction, t₁/2, is the time required for one-half of a reactant to be consumed. It is the time during which the amount of reactant or its concentration decreases to one-half of its initial value.Determine
the half-life for the reaction in Part B using the integrated rate law, given that the initial concentration is 1.50 mol-L and the rate constant is 0.0012 mol-L-¹-s-¹.
Express your answer to two significant figures and include the appropriate units.
▸ View Available Hint(s)
Templates Symbols undo redo Teset keyboard shortcuts help
Units
t1/2 = Value
-A[A]
At
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