Question

Regression Analysis Experiment 4 Later in this course you will see that the rate of reactions depend on concentration and this dependence is referred to as the "order" of the reaction. This concentration dependence provides insight into the molecular step-by-step process by which the reaction occurs. In the laboratory, a biochemist performed an experiment by monitoring a reaction. In this case, the concentration of a reactant, [A], is measured as a function of time. Prior to the experiment, the biochemist hypothesized that the reaction follows "second order kinetics" which follows the relationship 1/[A] = 1/[A]? + kt where [A] is the molarity concentration of A at time, t, and [A]? is the initial concentration. The, k, is constant during the reaction and for that reason is called a rate constant. In this case the following data was obtained. Data: Time (min) [A] (molarity) 10 0.51 20 0.42 30 0.36 40 0.31 Analysis: a. Transform the data given above so that it would show linear dependence in the case of a second order reaction. b. Make a computer generated plot of the data with the appropriate variables as x and y consistent with the second order equation given. c. Using a linear regression calculation, determine the slope and the y-intercept of the best fit of the data and have the program print the values on the graph. Be sure to include units! d. From your analysis, determine the best values of k and [A]? and don't forget the units and significant figures.

Regression Analysis

Experiment 4
Later in this course you will see that the rate of reactions depend on concentration and this dependence is referred to as the "order" of the reaction. This concentration dependence provides insight into the molecular step-by-step process by which the reaction occurs.

In the laboratory, a biochemist performed an experiment by monitoring a reaction. In this case, the concentration of a reactant, [A], is measured as a function of time. Prior to the experiment, the biochemist hypothesized that the reaction follows "second order kinetics" which follows the relationship

1/[A] = 1/[A]? + kt

where [A] is the molarity concentration of A at time, t, and [A]? is the initial concentration. The, k, is constant during the reaction and for that reason is called a rate constant. In this case the following data was obtained.

Data:
Time (min) [A] (molarity)
10 0.51
20 0.42
30 0.36
40 0.31

Analysis:
a. Transform the data given above so that it would show linear dependence in the case of a second order reaction.
b. Make a computer generated plot of the data with the appropriate variables as x and y consistent with the second order equation given.
c. Using a linear regression calculation, determine the slope and the y-intercept of the best fit of the data and have the program print the values on the graph. Be sure to include units!
d. From your analysis, determine the best values of k and [A]? and don't forget the units and significant figures.

Regression Analysis

Experiment 4
Later in this course you will see that the rate of reactions depend on concentration and this dependence is referred to as the "order" of the reaction. This concentration dependence provides insight into the molecular step-by-step process by which the reaction occurs.

In the laboratory, a biochemist performed an experiment by monitoring a reaction. In this case, the concentration of a reactant, [A], is measured as a function of time. Prior to the experiment, the biochemist hypothesized that the reaction follows "second order kinetics" which follows the relationship

1/[A] = 1/[A]? + kt

where [A] is the molarity concentration of A at time, t, and [A]? is the initial concentration. The, k, is constant during the reaction and for that reason is called a rate constant. In this case the following data was obtained.

Data:
Time (min) [A] (molarity)
10 0.51
20 0.42
30 0.36
40 0.31

Analysis:
a. Transform the data given above so that it would show linear dependence in the case of a second order reaction.
b. Make a computer generated plot of the data with the appropriate variables as x and y consistent with the second order equation given.
c. Using a linear regression calculation, determine the slope and the y-intercept of the best fit of the data and have the program print the values on the graph. Be sure to include units!
d. From your analysis, determine the best values of k and [A]? and don't forget the units and significant figures.

Added by Kelly S.

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