2) Consider the following reaction and associated rate law: X (g) + Y(g) → Z Rate = k[X] [Y] b Use the data in Table 1 in the following problems. Table 1 Reaction Data [X]。 (M) [Y]。 (M) Rate (M/s) 0.882 0.217 283. 07 0.882 0.451 624. 47 0.882 0.572 820.57 0.882 0.882 1308. 22 0.228 0.882 124.96 0.442 0.882 382. 56 0.67 0.882 804. 48 b) Use the Linear Regression method to estimate a, b, the reaction order k, and their standard deviations. In this approach, you analyze initial rate data by fixing the concentration of all but one species, say X. Next, the rate law equation is linearized through a logarithmic transformation and a least-squares analysis is used to obtain a and its standard devaition. The process is repeated by keeping (X) constant and varying [Y] to obtain b and its standard deviation. Finally, using a and b, the average value of k and its standard deviation are deduced. a +/- b = +/- || +/- Reaction order k +/-

Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter11: Chemical Kinetics
Section: Chapter Questions
Problem 11.54PAE: use the kineticmolecular theory to explain why an increase in temperature increases reaction rate.
icon
Related questions
Question
2) Consider the following reaction and associated rate law:
X (g) + Y(g) → Z
Rate = k[X] [Y] b
Use the data in Table 1 in the following problems.
Table 1 Reaction Data
[X]。 (M)
[Y]。 (M)
Rate (M/s)
0.882
0.217
283. 07
0.882
0.451
624. 47
0.882
0.572
820.57
0.882
0.882
1308. 22
0.228
0.882
124.96
0.442
0.882
382. 56
0.67
0.882
804. 48
Transcribed Image Text:2) Consider the following reaction and associated rate law: X (g) + Y(g) → Z Rate = k[X] [Y] b Use the data in Table 1 in the following problems. Table 1 Reaction Data [X]。 (M) [Y]。 (M) Rate (M/s) 0.882 0.217 283. 07 0.882 0.451 624. 47 0.882 0.572 820.57 0.882 0.882 1308. 22 0.228 0.882 124.96 0.442 0.882 382. 56 0.67 0.882 804. 48
b) Use the Linear Regression method to estimate a, b, the reaction order k, and their standard deviations. In
this approach, you analyze initial rate data by fixing the concentration of all but one species, say X. Next,
the rate law equation is linearized through a logarithmic transformation and a least-squares analysis is used
to obtain a and its standard devaition. The process is repeated by keeping (X) constant and varying [Y] to
obtain b and its standard deviation. Finally, using a and b, the average value of k and its standard
deviation are deduced.
a
+/-
b
=
+/-
||
+/-
Reaction
order
k
+/-
Transcribed Image Text:b) Use the Linear Regression method to estimate a, b, the reaction order k, and their standard deviations. In this approach, you analyze initial rate data by fixing the concentration of all but one species, say X. Next, the rate law equation is linearized through a logarithmic transformation and a least-squares analysis is used to obtain a and its standard devaition. The process is repeated by keeping (X) constant and varying [Y] to obtain b and its standard deviation. Finally, using a and b, the average value of k and its standard deviation are deduced. a +/- b = +/- || +/- Reaction order k +/-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Chemistry for Engineering Students
Chemistry for Engineering Students
Chemistry
ISBN:
9781337398909
Author:
Lawrence S. Brown, Tom Holme
Publisher:
Cengage Learning
Introductory Chemistry: A Foundation
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry: The Molecular Science
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
Introduction to General, Organic and Biochemistry
Introduction to General, Organic and Biochemistry
Chemistry
ISBN:
9781285869759
Author:
Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781133611097
Author:
Steven S. Zumdahl
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning