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.

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Chapter12: Kinetics
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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
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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