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a) Calculate the pressure of each component at each time interval, i.e. complete the above table. b) Use a graphical method and determine what the order of the reaction is with respect to SO₂Cl₂? (i) Show the plot as well as the linear fit of the data. (ii) Motivate your answer. c) Determine the rate constant for this reaction. d) Give the rate equation describing the reaction. e) What is the half-life of this reaction? Show your calculation. f) How long will the reaction take to come to an end? Show your calculation/derivation of the rate equation in (d).

a) Calculate the pressure of each component at each time interval, i.e. complete the above table. b) Use a graphical method and determine what the order of the reaction is with respect to SO₂Cl₂? (i) Show the plot as well as the linear fit of the data. (ii) Motivate your answer. c) Determine the rate constant for this reaction. d) Give the rate equation describing the reaction. e) What is the half-life of this reaction? Show your calculation. f) How long will the reaction take to come to an end? Show your calculation/derivation of the rate equation in (d).

Principles of Modern Chemistry
Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter18: Chemical Kinetics
Section: Chapter Questions
Problem 66AP
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The total pressure of the following system is used to monitor the progress of the chemical reaction. SO₂Cl₂(g) → SO₂(g) + Cl₂(g) The reaction is initiated, and the following data are obtained: Time (h) PTotal (kPa) Pso₂Cl₂ PS0₂ Pcl₂ 0 3 6 17.26 11.07 14.79 9 12 15 19.99 18.90 20.71 Additional information: As the reaction proceeds, stoichiometry dictates that for every mole of SO₂Cl₂ that dissociates one mole of each of SO₂ and Cl₂ is produced. Defining the extent of dissociation/reaction as , and the initial pressure as Po, the total pressure is given by: Ptotal = Pso₂Cl₂ + Pso₂ + Pcl₂ = (Po-5)+ 5 + 5 a) Calculate the pressure of each component at each time interval, i.e. complete the above table. b) Use a graphical method and determine what the order of the reaction is with respect to SO₂Cl₂? (i) Show the plot as well as the linear fit of the data. (ii) Motivate your answer. c) Determine the rate constant for this reaction. d) Give the rate equation describing the reaction. e) What is the half-life of this reaction? Show your calculation. f) How long will the reaction take to come to an end? Show your calculation/derivation of the rate equation in (d).
Transcribed Image Text:The total pressure of the following system is used to monitor the progress of the chemical reaction. SO₂Cl₂(g) → SO₂(g) + Cl₂(g) The reaction is initiated, and the following data are obtained: Time (h) PTotal (kPa) Pso₂Cl₂ PS0₂ Pcl₂ 0 3 6 17.26 11.07 14.79 9 12 15 19.99 18.90 20.71 Additional information: As the reaction proceeds, stoichiometry dictates that for every mole of SO₂Cl₂ that dissociates one mole of each of SO₂ and Cl₂ is produced. Defining the extent of dissociation/reaction as , and the initial pressure as Po, the total pressure is given by: Ptotal = Pso₂Cl₂ + Pso₂ + Pcl₂ = (Po-5)+ 5 + 5 a) Calculate the pressure of each component at each time interval, i.e. complete the above table. b) Use a graphical method and determine what the order of the reaction is with respect to SO₂Cl₂? (i) Show the plot as well as the linear fit of the data. (ii) Motivate your answer. c) Determine the rate constant for this reaction. d) Give the rate equation describing the reaction. e) What is the half-life of this reaction? Show your calculation. f) How long will the reaction take to come to an end? Show your calculation/derivation of the rate equation in (d).
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