4. The dissociation of a dimer (A2) into two monomers (2 A) is given by the mechanism: k A₂ → 2A (k = 0.100 s¹ at 298 K). a. Write an expression of the rate law for this elementary reaction and integrate the rate law to generate an expression for the concentration of A2 as a function of time ([A₂](t)). b. Write an expression to calculate the concentration of A as a function of time ([A](t)). c. Calculate the concentration of monomer formed ([A](t)) and dimer remaining ([A₂](t)) after 10.0 seconds at 298 K, if [A₂]0= 1.00 M_and [A]o = 0. d. How long will it take (in seconds) to form 1.00 M monomer (A) using the same initial conditions above in part "c" ([A₂]0= 1.0 M and [A]o = 0)?

Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter14: Chemical Kinetics: The Rates Of Chemical Reactions
Section: Chapter Questions
Problem 58GQ: Isomerization of CH3NC occurs slowly when CH3NC is heated. CH3NC(g) CH3CN(g) To study the rate of...
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4. The dissociation of a dimer (A₂) into two monomers (2 A) is given by the mechanism:
k
A₂2A (k=0.100 s¹ at 298 K).
a. Write an expression of the rate law for this elementary reaction and integrate the rate law to
generate an expression for the concentration of A₂ as a function of time ([A₂](t)).
b. Write an expression to calculate the concentration of A as a function of time ([A](t)).
c. Calculate the concentration of monomer formed ([A](t)) and dimer remaining ([A₂](t)) after
10.0 seconds at 298 K, if [A₂]0= 1.00 M and [A]o = 0.
d. How long will it take (in seconds) to form 1.00 M monomer (A) using the same initial
conditions above in part “c” ([A₂]o = 1.0 M and [A]o = 0)?
Transcribed Image Text:4. The dissociation of a dimer (A₂) into two monomers (2 A) is given by the mechanism: k A₂2A (k=0.100 s¹ at 298 K). a. Write an expression of the rate law for this elementary reaction and integrate the rate law to generate an expression for the concentration of A₂ as a function of time ([A₂](t)). b. Write an expression to calculate the concentration of A as a function of time ([A](t)). c. Calculate the concentration of monomer formed ([A](t)) and dimer remaining ([A₂](t)) after 10.0 seconds at 298 K, if [A₂]0= 1.00 M and [A]o = 0. d. How long will it take (in seconds) to form 1.00 M monomer (A) using the same initial conditions above in part “c” ([A₂]o = 1.0 M and [A]o = 0)?
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