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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Question
What is the half-life for the first-order decay of phosphorus-32? (3215P⟶3216S + e−)
The rate constant for the decay is 4.85 × 10−2 day−1.
![rate law
units of rate constant
integrated rate law
Summary of Rate Laws for Zero-, First-, and Second-Order Reactions
plot needed for linear fit of rate data
relationship between slope of linear plot and
rate constant
half-life
Zero-Order
rate = k
Ms1
[A] = -kt + [A]o
[A] vs. t
k = -slope
t1/2
[A]o
2k
First-Order
rate = k[A]
S-1
In[A] = -kt + In[A]o
In[A] vs. t
k = -slope
t1/2 =
0.693
k
Second-Order
rate = K[A]²
M1 S-1
[A]
[A]
vs. t
= kt +
k = slope
t1/2
- (A.)
1
[A]ok](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fead7ab99-9a03-4c45-b243-b9c914aad783%2F20fb342d-dd02-4bac-9c8b-42f5daccf4c7%2Fir2q6ts_processed.png&w=3840&q=75)
Transcribed Image Text:rate law
units of rate constant
integrated rate law
Summary of Rate Laws for Zero-, First-, and Second-Order Reactions
plot needed for linear fit of rate data
relationship between slope of linear plot and
rate constant
half-life
Zero-Order
rate = k
Ms1
[A] = -kt + [A]o
[A] vs. t
k = -slope
t1/2
[A]o
2k
First-Order
rate = k[A]
S-1
In[A] = -kt + In[A]o
In[A] vs. t
k = -slope
t1/2 =
0.693
k
Second-Order
rate = K[A]²
M1 S-1
[A]
[A]
vs. t
= kt +
k = slope
t1/2
- (A.)
1
[A]ok
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