Cliffs AP Chemistry, 3rd Edition

(singke) #1

Therefore a rate law can be created:


rate = k (acetone)x⋅(I 2 )y⋅(H+)z


It is known that the amount of iodine does not affect the rate of the reaction. Therefore, the rate
order of I 2 is 0. Investigating the reaction in terms of the change in the concentration of iodine
over time gives the relationship


rate t

I

∆ 2
=


  • ^h


The negative sign cancels the negative value of the change in I 2 which is due to the disappear-
ance of I 2 , making the rate a positive value. Since the rate of the overall reaction does not de-
pend on the iodine, the reaction rate can be studied by making the iodine the limiting reactant
present in excess acetone and H+, concentrations high enough so that their concentrations do
not change significantly through the course of the reaction. One simply then measures the time
required for the I 2 to be consumed by varying the concentrations of H+and acetone — easily
determined since I 2 is yellow in solution.


Scenario: A student prepared a data table for the results that he got in doing this experiment:


Mixture Acetone H+ (I 2 ) 0 Time (sec) Temp. °C rate = (I 2 ) 0 ⋅sec–1


I 0.80 M 0.20 M 0.0010 M 240 25 °C 4.2 × 10 –6
II 1.60 M 0.20 M 0.0010 M 120 25 °C 8.3 × 10 –6
III 0.80 M 0.40 M 0.0010 M 120 25 °C 8.3 × 10 –6
IV 0.80 M 0.20 M 0.00050 M 120 25 °C 4.2 × 10 –6

Analysis:



  1. Determine the rate order for each reactant.


rate = k ⋅(acetone)x⋅((I 2 ) 0 )y⋅(H+)z


rate I = 4.2 × 10 –6= k ⋅(0.80)x⋅(0.0010)y⋅(0.20)z


rate II = 8.3 × 10 –6= k ⋅(1.60)x⋅(0.0010)y⋅(0.20)z


Ratio of Rate II to Rate I:

..

..
.

..
.


.
rate I

rate II
k

k
0 0010 0 20

0 0010 0 20
42 10

83 10 20
080

160
yz

yz
x

x
6

6
#

#
:::

:::
===- =


  • ^^^


^^^
hhh

hhh

= log 2 = x ⋅log 2; x = 1


rate III = 8.3 × 10 –6= k ⋅(0.80)x⋅(0.0010)y⋅(0.40)z


rate IV = 4.2 × 10 –6= k ⋅(0.80)x⋅(0.00050)y⋅(0.20)z


Ratio of rate III to rate IV:

.

..
...


...
rate IV

rate III
k

k
42 10

83 10 20
0 80 0 00050 0 20

0 80 0 00050 0 40
xyz

xyz
6

6
#

#
:

:
::

::
===-


  • ^


^
^^

^^
h

h
hh

hh

= log 2 = z ⋅log 2; z = 1


Laboratory Experiments
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