Im having a lot of difficulty solving the blank part in the image. I can't figure out how to solve for the Natural Log (ln) relative rate vs. 1/T. As well as solving for the activation energy Ea for the reaction. Any help is highly appreciated

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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Im having a lot of difficulty solving the blank part in the image. I can't figure out how to solve for the Natural Log (ln) relative rate vs. 1/T. As well as solving for the activation energy Ea for the reaction. Any help is highly appreciated.

B. Effect of Temperature on Reaction Rate: The Activation Energy
ems
To find the activation energy for the reaction it will be helpful to complete the following table.
The dependence of the rate constant, k', for a reaction is given by Equation 4:
insmhoqx
noitone oE, A roitoso
imeriO to eete
(4)
boo eind)
Since the reactions at the different temperatures all involve the same reactant concentrations, the rate con-
stants, k', for two different mixtures will have the same ratio as the reaction rates themselves for the two mix-
In k' =--
+ constant
RT
tures. This means that in the calculation of E, we can use the observed relative rates instead of rate constants.
Proceeding as before, calculate the relative rates of reaction in each of the mixtures and enter these values in
(c). Take the lIn rate for each mixture and enter these values in (d). To set up the terms in 1/T, fill in (b), (e),
and (f) in the table.
Approximate Temperature in °C
20
40
10
0.
(a) Time t in seconds for color to appear
190.0
413.82
381.9
765.3
23.1
5.263
(b) Temperature of the reaction mixture in °C
43.2
3.Z
11.6
2.6185
22.8206 8
(c) Relative rate = 1000/t
L-3067
1.6607
(d) In of relative rate
3.1280
0.9626
.2675
(e) Temperature T in K
296.25
316.35
284.75
276.35
(f) 1/T, K-
-003375 .003161
.0035|1
. 00368
To evaluate E, make a graph of In relative rate vs. 1/T, using Excel or the graph paper provided. (See
Appendix V.)
Find the slope of the line obtained by drawing the best straight line through the experimental points.
Slope =
The slope of the line equals -E/R, where R = (8.31 joules/mole K) if E¸ is to be in joules per mole. Find
the activation energy, E, for the reaction.
%3D
a?
E =
joules/mole
a
C. Effect of a Catalyst on Reaction Rate
Optional
Catalyzed
Reaction 1
Reaction 1
Time for color to appear (seconds)
190.0sec
1.5sec
Would you expect the activation energy, E, for the catalyzed reaction to be greater than, less than, or
equal to the activation energy for the uncatalyzed reaction? Why?
Transcribed Image Text:B. Effect of Temperature on Reaction Rate: The Activation Energy ems To find the activation energy for the reaction it will be helpful to complete the following table. The dependence of the rate constant, k', for a reaction is given by Equation 4: insmhoqx noitone oE, A roitoso imeriO to eete (4) boo eind) Since the reactions at the different temperatures all involve the same reactant concentrations, the rate con- stants, k', for two different mixtures will have the same ratio as the reaction rates themselves for the two mix- In k' =-- + constant RT tures. This means that in the calculation of E, we can use the observed relative rates instead of rate constants. Proceeding as before, calculate the relative rates of reaction in each of the mixtures and enter these values in (c). Take the lIn rate for each mixture and enter these values in (d). To set up the terms in 1/T, fill in (b), (e), and (f) in the table. Approximate Temperature in °C 20 40 10 0. (a) Time t in seconds for color to appear 190.0 413.82 381.9 765.3 23.1 5.263 (b) Temperature of the reaction mixture in °C 43.2 3.Z 11.6 2.6185 22.8206 8 (c) Relative rate = 1000/t L-3067 1.6607 (d) In of relative rate 3.1280 0.9626 .2675 (e) Temperature T in K 296.25 316.35 284.75 276.35 (f) 1/T, K- -003375 .003161 .0035|1 . 00368 To evaluate E, make a graph of In relative rate vs. 1/T, using Excel or the graph paper provided. (See Appendix V.) Find the slope of the line obtained by drawing the best straight line through the experimental points. Slope = The slope of the line equals -E/R, where R = (8.31 joules/mole K) if E¸ is to be in joules per mole. Find the activation energy, E, for the reaction. %3D a? E = joules/mole a C. Effect of a Catalyst on Reaction Rate Optional Catalyzed Reaction 1 Reaction 1 Time for color to appear (seconds) 190.0sec 1.5sec Would you expect the activation energy, E, for the catalyzed reaction to be greater than, less than, or equal to the activation energy for the uncatalyzed reaction? Why?
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