Part B: Integrated rate law expressions for zero- and half-order reactions Derive integrated rate law expressions for half-, one and a half-, and third-order reactions of the form A products where k is the rate constant. Also, deduce the graphical linear relations, units of rate constant k, and expression for half-life, ti/2, for all cases. Assume that at t = 0 only A is present with an initial concentration of [A]o. Fill in the table below by following the example given for first-order reaction'. Show all your work. Integrated Unit of Graphical Linear Relation order Half-life Rate Law k [A] In[A] vs t = slope =-k, y-intercept = In[A]o In 2 t1/2 1 1 In = -kt [A]o k 1/2 3/2 3

Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter11: Chemical Kinetics: Rates Of Reactions
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Part B: Integrated rate law expressions for zero- and half-order reactions
Derive integrated rate law expressions for half-, one and a half-, and third-order
reactions of the form A products where k is the rate constant. Also, deduce the
graphical linear relations, units of rate constant k, and expression for half-life, ti/2, for
all cases. Assume that at t = 0 only A is present with an initial concentration of [A]o. Fill
in the table below by following the example given for first-order reaction'.
Show all your work.
Integrated
Unit of
Graphical
Linear Relation
order
Half-life
Rate Law
k
[A]
In[A] vs t = slope =-k,
y-intercept = In[A]o
In 2
t1/2
1
1
In
= -kt
[A]o
k
1/2
3/2
3
Transcribed Image Text:Part B: Integrated rate law expressions for zero- and half-order reactions Derive integrated rate law expressions for half-, one and a half-, and third-order reactions of the form A products where k is the rate constant. Also, deduce the graphical linear relations, units of rate constant k, and expression for half-life, ti/2, for all cases. Assume that at t = 0 only A is present with an initial concentration of [A]o. Fill in the table below by following the example given for first-order reaction'. Show all your work. Integrated Unit of Graphical Linear Relation order Half-life Rate Law k [A] In[A] vs t = slope =-k, y-intercept = In[A]o In 2 t1/2 1 1 In = -kt [A]o k 1/2 3/2 3
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