A (g) + B (g) → C (g) + D (g) The hypothetical gas phase reaction, listed above, was studied at 298 K, and the following data was recorded: Time (s) [A] (M) [B] (M) 0 2.34 1.64 10.0 1.92 1.32 20.0 1.57 1.00 30.0 1.28 0.68 0.36 1.05 40.0 a. Is the reaction 0, 1st, or 2nd order with respect to A? b. Is the reaction 0, 1st, or 2nd order with respect to B? c. What is the overall reaction order? d. Calculate the rate constant

A (g) + B (g) → C (g) + D (g) The hypothetical gas phase reaction, listed above, was studied at 298 K, and the following data was recorded: Time (s) [A] (M) [B] (M) 0 2.34 1.64 10.0 1.92 1.32 20.0 1.57 1.00 30.0 1.28 0.68 0.36 1.05 40.0 a. Is the reaction 0, 1st, or 2nd order with respect to A? b. Is the reaction 0, 1st, or 2nd order with respect to B? c. What is the overall reaction order? d. Calculate the rate constant

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 11.50PAE

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11.48 The following data were collected for the decomposition of NT),-: Time, f (min) [N2Os] (mol L-1) 0 0.200 5 0.171 10 0.146 15 0.125 20 0.106 25 0.0909 30 0.0777 35 0.0664 40 0.0570 Use appropriate graphs to determine the rate constant for this reaction. Find the half-life of the reaction.
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?
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).
Determine a rate law for the chlorination of methane assuming that the second step is the rate-determining step and that the first step can be approximated by the steady-state approximation. What is the difference between the answer here and the answer for the previous exercise?
The thermal decomposition of diacetylene, C4H2, was studied at 950 C. Use the following data (K. C. Hou and H. B. Palmer, Journal of Physical Chemistry. Vol. 60, p. 858, 1965) to determine the order of the reaction.
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.
As with any drug, aspirin (acetylsalicylic acid) must remain in the bloodstream long enough to be effective. Assume that the removal of aspirin from the bloodstream into the urine is a lirst-order reaction, with a half-life of about 3 hours. The instructions on an aspirin bottle say to take 1 or 2 tablets every 4 hours. If a person takes 2 aspirin tablets, how much aspirin remains in the bloodstream when it is time for the second dose? (A standard tablet contains 325 mg of aspirin.)
The decomposition of sulfuryl chloride, SO2Cl2, to sulfur dioxide and chlorine gases is a first-order reaction. SO2Cl2(g)SO2(g)+Cl2(g)At a certain temperature, the half-life of SO2Cl2 is 7.5102 min. Consider a sealed flask with 122.0 g of SO2Cl2. (a) How long will it take to reduce the amount of SO2Cl2 in the sealed flask to 45.0 g? (b) If the decomposition is stopped after 29.0 h, what volume of Cl2 at 27C and 1.00 atm is produced?
11.51 Peroxyacetyl nitrate (PAN) has the chemical formula CtHjNOj and is an important lung irritant in photochemical smog. An experiment to determine the decomposition kinetics of PAN gave the data below. Determine the order of reaction and calculate the rate constant for the decomposition of PAN. Time, t (min) Partial Pressure of PAN (torr) 0.0 2.00 X 10~’ 10.0 1.61 X 10~} 20.0 1.30 X 10_J 30.0 1.04 X 10"’ 40.0 8.41 X 10-4 50.0 6.77 x 10-4 60.0 5.45 X 10-4
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