Part E Consider a hypothetical reaction between A, B, and C that is first order in A, zero order in B, and second order in C. By what factor does the rate change when the concentrations of all three reactants are tripled? The rate would be multiplied by 27. The rate would be multiplied by 9. The rate would be tripled. The rate would remain the same. Request Answer Submit Part F By what factor does the rate change when the concentrations of all three reactants are cut in half? The rate would be divided by 27. The rate would be divided by 8. The rate would be doubled. The rate would remain the same. Request Answer Submit

Part E Consider a hypothetical reaction between A, B, and C that is first order in A, zero order in B, and second order in C. By what factor does the rate change when the concentrations of all three reactants are tripled? The rate would be multiplied by 27. The rate would be multiplied by 9. The rate would be tripled. The rate would remain the same. Request Answer Submit Part F By what factor does the rate change when the concentrations of all three reactants are cut in half? The rate would be divided by 27. The rate would be divided by 8. The rate would be doubled. The rate would remain the same. Request Answer Submit

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 11.20PAE: Experimental data are listed here for the reaction B: Time (s) IB] (mol/L) 0.00 0.000 10.0 0.326...

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A certain reaction has the form aAProducts At a particular temperature, concentration versus time data were collected. A plot of 1/ [A] versus Lime (in seconds) gave a straight line with a slope of 6.90 102. What is the differential rate law for this reaction? What is the integrated rate law for this reaction? What is the value of the rate constant for this reaction? If [A]0 for this reaction is 0.100 M, what is the first half-life (in seconds)? If the original concentration (at t = 0) is 0.100 M, what is the second half-life (in seconds)?
For the reaction A + B C, explain at least two ways in which the rate law could be zero order in chemical A.
Experimental data are listed for the hypothetical reaction A+BZ (a) Plot these data as in Figure 11.3. (b) Draw a tangent to the curve to find the instantaneous rate at 40 s. (c) Find the average rate over the 10 to 50 s interval. (d) Compare the instantaneous rate at 40 s with the average rate over the 40-s interval.
Consider a reaction of the type aA products, in which the rate law is found to he rate = k[A]3 (termolecular reactions are improbable but possible). If the first half-tife of the reaction is found to he 40. s, what is the time for the second half-life? Hint: Using your calculus knowledge, derive the integrated rate law from the differential rate law for a tennolecular reaction: Rate=d[A]dt=k[A]3
What is the difference between average rate, initial rate, and instantaneous rate?
(a) From data in Table 11.1, calculate the rate of reaction for each time interval: (i) from 40.0 s to 60.0 s; (ii) from 20.0 s to 80.0 s; (iii) from 0.0 to 100.0 s. (b) Use all of the data in the first two columns of Table 11.1 to draw a graph with time on the horizontal (x) axis and concentration on the vertical (y) axis. Draw a smooth curve through the data. On the graph, draw lines that correspond to [Cv+]/t for each interval. (c) Why is the rate not the same for each time interval in part (a), even though the average time for each interval is 50.0 s? (That is, for interval i, the average time is (40.0 s + 60.0 s)/2 = 50.0 s.) Write an explanation of the reason for a friend who is taking this course, and ask your friend to evaluate what you have written.
Experimental data are listed here for the reaction A 2 B. (a) Prepare a graph from these data; connect the points with a smooth line; and calculate the rate of change of [B] for each 10-second interval from 0.0 to 40.0 seconds. Does the rate of change decrease from one time interval to the next? Suggest a reason for this result. (b) How is the rate of change of [A] related to the rate of change of [B] in each time interval? Calculate the rate of change of [A] for the time interval from 10.0 to 20.0 seconds.
Experimental data are listed here for the reaction B: Time (s) IB] (mol/L) 0.00 0.000 10.0 0.326 20.0 0.572 30.0 0.750 40.0 0.890 Prepare a graph from these data, connect the points with a smooth line, and calculate the rate of change of [B] for each 10-s interval from 0.0 to 40.0 s. Does the rate of change decrease from one time interval to the next? Suggest a reason for this result. How is the rate of change of [AJ related to the rate of change of [B] in each time interval? Calculate the rate of change of [AJ for the time interval from 10.0 to 20.0 s. What is the instantaneous rate, A[B]/Ar, when [BI = 0.750 mol/L?
Consider the following hypothetical reaction: X( g )Y( g ) A 200.0-mL flask is filled with 0.120 moles of X. The disappearance of X is monitored at timed intervals. Assume that temperature and volume are kept constant. The data obtained are shown in the table below. (a) Make a similar table for the appearance of Y. (b) Calculate the average disappearance of X in M/S in the first two 20-minute intervals. (c) What is the average rate of appearance of Y between the 20- and 60-minute intervals?
Derive expressions for the half-life of zero-, first-, and second-order reactions using the integrated rate law for each order. How does each half-life depend on concentration? If the half- life for a reaction is 20. seconds, what would be the second half-Life assuming the reaction is either zero, first, or second order?
Which of the following statement(s) is( are) true? a. The half-life for a zero-order reaction increases as the reaction proceeds. b. A catalyst does not change the value of the rate constant c. The half-life for a reaction, aAProducts that is first order in A increases with increasing [A]0. d. The half-life for a second-order reaction increases as the reaction proceeds.
Each of the statements given below is false. Explain why. a. The activation energy of a reaction depends on the overall energy change (E) for the reaction. b. The rate law for a reaction can be deduced from examination of the overall balanced equation for the reaction. c. Most reactions occur by one-step mechanisms.