The total pressure of the following system is used to monitor the progress of the chemical reaction. SO₂Cl(g) → SO(g) + Cla(g) The reaction is initiated, and the following data are obtained: 0 3 6 Time (h) 9 12 15 20.71 Potal (kPa) 11.07 14.79 17.26 18.90 19.99 Pso₂Cl₂ Pso₂ Pcl₂ Additional information: As the reaction proceeds, stoichiometry dictates that for every mole of SO,Cl; 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= Pso,cl, + Pso,+Pa,= (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 SO,Cl₂? (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.

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Chapter18: Thermodynamics And Equilibrium
Section: Chapter Questions
Problem 18.29QP
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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) + Cl.(g)
The reaction is initiated, and the following data are obtained:
3
6
0
9
12
Time (h)
15
17.26
18.90
19.99
20.71
PTotal (kPa)
11.07
14.79
Pso₂Cl₂
Pso₂
Pcl₂
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+ Pal₂ = (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 SO,Cl₂?
(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.
Transcribed Image Text:The total pressure of the following system is used to monitor the progress of the chemical reaction. SO₂Cl2(g) → SO2(g) + Cl.(g) The reaction is initiated, and the following data are obtained: 3 6 0 9 12 Time (h) 15 17.26 18.90 19.99 20.71 PTotal (kPa) 11.07 14.79 Pso₂Cl₂ Pso₂ Pcl₂ 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+ Pal₂ = (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 SO,Cl₂? (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.
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