Over time, BPB converts to a colorless molecule in the presence of OH¯ ions. To study the rate of the reaction, the student recorded the absorbance of the BPB solution at 590 nm in a 0.50 M NaOH solution. The temperature and [OH¯] remain constant throughout the reaction. The results are summarized in the table below. Time Absorbance (min) 0.60 4 0.48 8 0.38 12 0.30

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Over time, BPB converts to a colorless molecule in the presence of OH¯ ions. To study the rate of the reaction, the student
recorded the absorbance of the BPB solution at 590 nm in a 0.50 M NaOH solution. The temperature and [OH¯] remain
constant throughout the reaction. The results are summarized in the table below.
Time
Absorbance
(min)
0.60
4
0.48
8
0.38
12
0.30
16
0.24
20
0.19
24
0.15
(f) Determine the half-life of the reaction. Include units with your answer.
(g) Explain how the absorbance and time data are consistent with a process that is first order with respect to BPB.
A second trial is conducted at the same constant temperature, but with [OH] changed to 2.00 M. The observed half-life of
the reaction is shorter than for the first trial when [OH¯]was 0.50 M.
(h) Explain, in term of particle collisions, why the half-life of the reaction decreases when [OH¯]is changed from 0.50 M to
2.00 M.
(i) Is the activation energy for the reaction when [OH¯]is 2.00 M greater than, the same as, or less than the activation
energy when [OH ]is 0.50 M? Justify your answer.
Transcribed Image Text:Over time, BPB converts to a colorless molecule in the presence of OH¯ ions. To study the rate of the reaction, the student recorded the absorbance of the BPB solution at 590 nm in a 0.50 M NaOH solution. The temperature and [OH¯] remain constant throughout the reaction. The results are summarized in the table below. Time Absorbance (min) 0.60 4 0.48 8 0.38 12 0.30 16 0.24 20 0.19 24 0.15 (f) Determine the half-life of the reaction. Include units with your answer. (g) Explain how the absorbance and time data are consistent with a process that is first order with respect to BPB. A second trial is conducted at the same constant temperature, but with [OH] changed to 2.00 M. The observed half-life of the reaction is shorter than for the first trial when [OH¯]was 0.50 M. (h) Explain, in term of particle collisions, why the half-life of the reaction decreases when [OH¯]is changed from 0.50 M to 2.00 M. (i) Is the activation energy for the reaction when [OH¯]is 2.00 M greater than, the same as, or less than the activation energy when [OH ]is 0.50 M? Justify your answer.
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