For the reaction below, a series of experiments was conducted and the data collected in the table below. a. Determine the rate law and the overall order of the reaction. b. Calculate the rate constant, including appropriate units. c. Determine the initial rate when the initial concentrations of both reactants are 0.12 M. Reaction (might be unbalanced): NO (g) + Cl2 (g) → NOCI (g) Experiment Data: Experiment # Initial [NO] (M) Initial [Cl2] (M) Initial Rate (M/s) 0.13 1.0x10-2 0.20 2 0.26 0.20 4.0x10-2 3 5.0x10-3 0.13 0.10

For the reaction below, a series of experiments was conducted and the data collected in the table below. a. Determine the rate law and the overall order of the reaction. b. Calculate the rate constant, including appropriate units. c. Determine the initial rate when the initial concentrations of both reactants are 0.12 M. Reaction (might be unbalanced): NO (g) + Cl2 (g) → NOCI (g) Experiment Data: Experiment # Initial [NO] (M) Initial [Cl2] (M) Initial Rate (M/s) 0.13 1.0x10-2 0.20 2 0.26 0.20 4.0x10-2 3 5.0x10-3 0.13 0.10

Chemistry: Matter and Change

1st Edition

ISBN:9780078746376

Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom

Publisher:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom

Chapter16: Reaction Rates

Section: Chapter Questions

Problem 64A

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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?
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 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.
A study of the rate of the reaction represented as 2AB gave the following data: Time (s) 0.0 5.0 10.0 15.0 20.0 25.0 35.0 [A](M) 1.00 0.775 0.625 0.465 0.350 0.205 0.230 (a) Determine the average rate of disappearance of A between 0.0 s and 10.0 s, and between 10.0 s and 20.0 s. (b) Estimate the instantaneous rate of disappearance of A at 15.0 s from a graph of time versus [A]. What are theunits of this rate? (c) Use the rates found in parts (a) and (b) to determine the average rate of formation of B between 0.00 s and 10.0 s, and the instantaneous rate of formation of B at 15.0 s.
The initial rate for a reaction is equal to the slope of the tangent line at t 0 in a plot of [A] versus time. From calculus, initial rate = d[A]dt . Therefore. the differential rate law for a reaction is Rate = d[A]dt=k[A]n. Assuming you have some calculus in your background, derive the zero-, first-, and second-order integrated rate laws using the differential rate law.
The reaction I(aq)+OCl(aq)IO(aq)+Cl(aq) was studied, and the following data were obtained: [I]0(mol/L) [OCl]0(mol/L) Initial Rate (mol/L s) 0.12 0.18 7.91 102 0.060 0.18 3.95 102 0.030 0.090 9.88 103 0.24 0.090 7.91 102 a. What is the rate law? b. Calculate the value of the rate constant. c. Calculate the initial rate for an experiment where both Iand OCl are initially present at 0.15 mol/L.
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)?
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 the general reaction aA+bBcC and the following average rate data over some time period t: At=0.0080mol/LsBt=0.0120mol/LsCt=0.0160mol/Ls Determine a set of possible coefficients to balance this general reaction.
Cyclobutane can decompose to form ethylene: The cyclobutane concentration can be measured as a function of time by mass spectrometry (a graph is nearby). Write an expression for the rate of reaction in terms of a changing concentration. Calculate the average rate of reaction between 10. and 30. s. Calculate the instantaneous rate of reaction after 20. s. Calculate the initial rate of reaction. Calculate the instantaneous rate of formation of ethylene 40. s after the start of the reaction.
A study of the rate of dimerization of C4H6 gave the data shown in the table: 2C4H6C8H12 (a) Determine the average rate of dimerization between 0 s and 1600 s, and between 1600 s and 3200 s. (b) Estimate the instantaneous rate of dimerization at 3200 s from a graph of time versus [C4H6]. What are the units of this rate? (c) Determine the average rate of formation of C8H12 at 1600 s and the instantaneous rate of formation at 3200 s from the rates found in parts (a) and (b).
Sulfuryl chloride (SO2Cl2) decomposes to sulfur dioxide (SO2) and chlorine (Cl2) by reaction in the gas phase. The following pressure data were obtained when a sample containing 5.00 102 mol sulfuryl chloride was heated to 600. K in a 5.00 101-L container. Time (hours): 0.00 1.00 2.00 4.00 8.00 16.00 PSO2Cl2(atm): 4.93 4.26 3.52 2.53 1.30 0.34 Defining the rate as [SO2Cl2]t, a. determine the value of the rate constant for the decomposition of sulfuryl chloride at 600. K. b. what is the half-life of the reaction? c. what fraction of the sulfuryl chloride remains after 20.0 h?