23. Experiments during a recent summer on a number of fireflies (small beetles, Lampyridaes photi- nus) showed that the average interval between flashes of individual insects was 16.3 s at 21.0°C and 13.0 s at 27.8°C. a. What is the apparent activation energy of the reaction that controls the flashing? b. What would be the average interval between flashes of an individual firefly at 30.0°C?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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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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Please answer question #23. Thank you!
22. The activation energy of a certain uncatalyzed biochemical reaction is 50.0 kJ/mol. In the pres-
ence of a catalyst at 37°C, the rate constant for the reaction increases by a factor of 2.50 x 10³ as
compared with the uncatalyzed reaction. Assuming the frequency factor, A, is the same for both
the catalyzed and uncatalyzed reactions, calculate the activation energy for the catalyzed reac-
tion.
23. Experiments during a recent summer on a number of fireflies (small beetles, Lampyridaes photi-
nus) showed that the average interval between flashes of individual insects was 16.3 s at 21.0°C
and 13.0 s at 27.8°C.
a. What is the apparent activation energy of the reaction that controls the flashing?
b. What would be the average interval between flashes of an individual firefly at 30.0°C?
24. While looking up recipes in a database, you find several different recipes for baked chicken.
These recipes are all very similar (chicken parts, baked in a basting sauce). The only significant
difference is that each recipe specifies a different oven temperature and baking time.
Oven Temp (Fahrenheit)
350.
375.
500.
300.
Baking Time (minutes)
90.0
75.0
30.0
135.
Let us simplify this overall process by considering the phenomenological “chemical equation":
Raw chicken > Baked chicken
Assume that the rate is proportional to the reciprocal of the time. Estimate the activation energy
for the baking of chicken under these conditions by graphing the data above. For how many
minutes should you allow a similar recipe to bake, if you use an oven temperature of 400°F?
25. You are investigating a reaction,
2 A + B → 2 C. In a particular experi-
ment, you follow the concentration of A as a
function of time and produce the graph at right.
1.3
Ln[A] = -0.0500•Time + 1.250
R2 = 0.99
1.25
1.2
........
E 1.15
.....
Transcribed Image Text:22. The activation energy of a certain uncatalyzed biochemical reaction is 50.0 kJ/mol. In the pres- ence of a catalyst at 37°C, the rate constant for the reaction increases by a factor of 2.50 x 10³ as compared with the uncatalyzed reaction. Assuming the frequency factor, A, is the same for both the catalyzed and uncatalyzed reactions, calculate the activation energy for the catalyzed reac- tion. 23. Experiments during a recent summer on a number of fireflies (small beetles, Lampyridaes photi- nus) showed that the average interval between flashes of individual insects was 16.3 s at 21.0°C and 13.0 s at 27.8°C. a. What is the apparent activation energy of the reaction that controls the flashing? b. What would be the average interval between flashes of an individual firefly at 30.0°C? 24. While looking up recipes in a database, you find several different recipes for baked chicken. These recipes are all very similar (chicken parts, baked in a basting sauce). The only significant difference is that each recipe specifies a different oven temperature and baking time. Oven Temp (Fahrenheit) 350. 375. 500. 300. Baking Time (minutes) 90.0 75.0 30.0 135. Let us simplify this overall process by considering the phenomenological “chemical equation": Raw chicken > Baked chicken Assume that the rate is proportional to the reciprocal of the time. Estimate the activation energy for the baking of chicken under these conditions by graphing the data above. For how many minutes should you allow a similar recipe to bake, if you use an oven temperature of 400°F? 25. You are investigating a reaction, 2 A + B → 2 C. In a particular experi- ment, you follow the concentration of A as a function of time and produce the graph at right. 1.3 Ln[A] = -0.0500•Time + 1.250 R2 = 0.99 1.25 1.2 ........ E 1.15 .....
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