For the overall gas-phase reaction of the formation of phosgene (Cl₂CO) from carbon monoxide and chlorine, the following mechanism has been proposed: Cl₂ + M2CI+M CI+CO+MCICO+M CICO + Cl₂C₁₂CO+CI Derive the expected rate law assuming [M] is large and constant, and using: (a) The equilibrium assumption for the first two steps. (b) Instead using the steady state assumption for any intermediates. (c) Why does the reaction become zeroth order in [CO] in the steady state case?

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For the overall gas-phase reaction of the formation of phosgene (Cl₂CO) from carbon
monoxide and chlorine, the following mechanism has been proposed:
Cl₂ + M2CI+M
k_1
CI+CO+MCICO + M
k_2
k3
CICO + Cl₂C₁₂CO+CI
Derive the expected rate law assuming [M] is large and constant, and using:
(a) The equilibrium assumption for the first two steps.
(b) Instead using the steady state assumption for any intermediates.
(c) Why does the reaction become zeroth order in [CO] in the steady state case?
(d) The actual rate law is 3/2 order in [Cl₂] and first order in [CO]. Which mechanism is
likely correct?
(e) Is the other mechanism possible, based on the observed orders?
Transcribed Image Text:For the overall gas-phase reaction of the formation of phosgene (Cl₂CO) from carbon monoxide and chlorine, the following mechanism has been proposed: Cl₂ + M2CI+M k_1 CI+CO+MCICO + M k_2 k3 CICO + Cl₂C₁₂CO+CI Derive the expected rate law assuming [M] is large and constant, and using: (a) The equilibrium assumption for the first two steps. (b) Instead using the steady state assumption for any intermediates. (c) Why does the reaction become zeroth order in [CO] in the steady state case? (d) The actual rate law is 3/2 order in [Cl₂] and first order in [CO]. Which mechanism is likely correct? (e) Is the other mechanism possible, based on the observed orders?
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