*62. In Section 18.4 we considered the following mechanism for the reaction of Br2 with H2: Br2 + M 2 Br + Br + M k-1 Br + Hа HBr + H H+ Br2 HBr +Br Although this is adequate for calculating the initial rate of reaction, before product HBr builds up, there is an additional process that can participate as the reaction continues: HBr + H H2 + Br
*62. In Section 18.4 we considered the following mechanism for the reaction of Br2 with H2: Br2 + M 2 Br + Br + M k-1 Br + Hа HBr + H H+ Br2 HBr +Br Although this is adequate for calculating the initial rate of reaction, before product HBr builds up, there is an additional process that can participate as the reaction continues: HBr + H H2 + Br
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![*62. In Section 18.4 we considered the following mechanism for the reaction of Br2 with H2:
Br2 + M 2 Br + Br + M
k-1
Br + H2 4 HBr +H
H+ Br2 → HBr+ Br
Although this is adequate for calculating the initial rate of reaction, before product HBr builds up,
there is an additional process that can participate as the reaction continues:
HBr +H H2 +Br
(a) Write an expression for the rate of change of (H].
(b) Write an expression for the rate of change of [Br].
(c) As hydrogen and bromine atoms are both short-lived species, we can make the steady-state
approximation and set the rates from parts (a) and (b) to 0. Express the steady-state
concentrations [H] and [Br] in terms of concentrations of H2, Br2, HBr, and M. [Hint: Try adding
the rate for part (a) to that for part (b).]
(d) Express the rate of production of HBr in terms of concentrations of H,, Br2, HBr, and M.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e1a422f-3b49-471c-9f25-c7f3d98413cf%2F23435c22-282e-4aac-ac9a-0a2e41c2738e%2Fatedj4u_processed.png&w=3840&q=75)
Transcribed Image Text:*62. In Section 18.4 we considered the following mechanism for the reaction of Br2 with H2:
Br2 + M 2 Br + Br + M
k-1
Br + H2 4 HBr +H
H+ Br2 → HBr+ Br
Although this is adequate for calculating the initial rate of reaction, before product HBr builds up,
there is an additional process that can participate as the reaction continues:
HBr +H H2 +Br
(a) Write an expression for the rate of change of (H].
(b) Write an expression for the rate of change of [Br].
(c) As hydrogen and bromine atoms are both short-lived species, we can make the steady-state
approximation and set the rates from parts (a) and (b) to 0. Express the steady-state
concentrations [H] and [Br] in terms of concentrations of H2, Br2, HBr, and M. [Hint: Try adding
the rate for part (a) to that for part (b).]
(d) Express the rate of production of HBr in terms of concentrations of H,, Br2, HBr, and M.
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