To determine the reaction rate for a pseudo first-order reaction we must take into consideration the following equation: Af = A. + (Ao – A)e¬kt Where: • k = first order rate constant = absorption value at time = infinity = absorption value at time = zero Ao • t = the reaction time in seconds At = absorption value at any time = t %3D Rearranging the equation above, we obtain the following: In(A – A.) = -kt + In (A, – A∞) Using the absorption data below acquired during the hydrolysis of p-nitrophenyl acetate in aqueous solution at 50°C determine the rate constant for this reaction. Assume that Aoo=1.750 **Hint: you cannot take the logarithm of a negative number. Take the logarithm of the absolute value of At - A.

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Chapter12: Chemical Kinetics
Section: Chapter Questions
Problem 106CWP: A certain reaction has the form aAProducts At a particular temperature, concentration versus time...
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To determine the reaction rate for a pseudo first-order reaction we must take into consideration the following equation:
At = A. + (Ao – A)e¬kt
-
Where:
= absorption value at time = infinity
k
= first order rate constant
Ao
= absorption value at time = zero
= the reaction time in seconds
At
= absorption value at any time =t
%3D
Rearranging the equation above, we obtain the following:
In(A – A.) = -kt + In (Ao– A∞)
%3D
Using the absorption data below acquired during the hydrolysis of p-nitrophenyl
acetate in aqueous solution at 50°C determine the rate constant for this reaction.
Assume that A=1.750
**Hint: you cannot take the logarithm of a negative number. Take the logarithm of the absolute value of At - A.
Transcribed Image Text:To determine the reaction rate for a pseudo first-order reaction we must take into consideration the following equation: At = A. + (Ao – A)e¬kt - Where: = absorption value at time = infinity k = first order rate constant Ao = absorption value at time = zero = the reaction time in seconds At = absorption value at any time =t %3D Rearranging the equation above, we obtain the following: In(A – A.) = -kt + In (Ao– A∞) %3D Using the absorption data below acquired during the hydrolysis of p-nitrophenyl acetate in aqueous solution at 50°C determine the rate constant for this reaction. Assume that A=1.750 **Hint: you cannot take the logarithm of a negative number. Take the logarithm of the absolute value of At - A.
Absorbance
(mAU]
1.4-
1.2-
1
0.8
0.6
0.4
0.2-
300
400
500
Wavelength (nm]
Time (s)
Abs. at 400nm
Time (s)
Abs. at 400nm
0.015
960
1.139
120
0.223
1080
1.216
240
0.407
1200
1.283
360
0.570
1320
1.343
480
0.714
1440
1.396
600
0.841
1560
1.443
720
0.954
1680
1.485
840
1.052
1800
1.520
Transcribed Image Text:Absorbance (mAU] 1.4- 1.2- 1 0.8 0.6 0.4 0.2- 300 400 500 Wavelength (nm] Time (s) Abs. at 400nm Time (s) Abs. at 400nm 0.015 960 1.139 120 0.223 1080 1.216 240 0.407 1200 1.283 360 0.570 1320 1.343 480 0.714 1440 1.396 600 0.841 1560 1.443 720 0.954 1680 1.485 840 1.052 1800 1.520
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