Step 7 of 8 Substitute the value of [Br] from Step 3 and the value of [H] from Step 5 into the expression for d[HBr] dt s and simplify. (Use the following as necessary: [Br2], [H2], [HBr], k1, k2, k3, ka, and ks.) from Step

Physical Chemistry
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Author:Ball, David W. (david Warren), BAER, Tomas
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Chapter20: Kinetics
Section: Chapter Questions
Problem 20.30E: One can also define a third-life, t1/3, which is the amount of time necessary for one-third of an...
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H2(g)+Br2(g)
- 2HB1(g)
- 2 HBr(g)
H2(g) + Br2(g)
H_2(g)+Br_2(g)-->2HBr(g)
Correct.
Step 2 of 8
Assuming that the reaction chain proceeds according to the elementary steps below, apply the steady state approximation to both the H and Br atoms. (Use the following as necessary: [Br], [Br2], [H], [H2], and [HBr], or
enter 0 if the term does not apply.)
elementary reaction
rate constant
reaction type
Br2 - 2 Br
k1
chain initiation
Br + H2 - HBr + H
K2
chain propagation
H + Brz - HBr + Br
k3
chain propagation
H + HBr - H2 + Br
k4
chain inhibition
Br + Br - Br2
k5
chain termination
d[H]
dt
= 0 = k2l LBr ]| H,
[Br][H2]
k3
[H] Br2
[H][Br2]
- kal [H]HBr
|[H][HBr]
d[Br]
= 0 = k1( 2| Br2
2[Brz]
dt
Br][ H2
- k2
[Br][H2]
+ k3
H Br.
[H][Brz]
+ ka [H][HBr]
[H][HBr]
- ksl
[Br]2
[Br]²
Transcribed Image Text:H2(g)+Br2(g) - 2HB1(g) - 2 HBr(g) H2(g) + Br2(g) H_2(g)+Br_2(g)-->2HBr(g) Correct. Step 2 of 8 Assuming that the reaction chain proceeds according to the elementary steps below, apply the steady state approximation to both the H and Br atoms. (Use the following as necessary: [Br], [Br2], [H], [H2], and [HBr], or enter 0 if the term does not apply.) elementary reaction rate constant reaction type Br2 - 2 Br k1 chain initiation Br + H2 - HBr + H K2 chain propagation H + Brz - HBr + Br k3 chain propagation H + HBr - H2 + Br k4 chain inhibition Br + Br - Br2 k5 chain termination d[H] dt = 0 = k2l LBr ]| H, [Br][H2] k3 [H] Br2 [H][Br2] - kal [H]HBr |[H][HBr] d[Br] = 0 = k1( 2| Br2 2[Brz] dt Br][ H2 - k2 [Br][H2] + k3 H Br. [H][Brz] + ka [H][HBr] [H][HBr] - ksl [Br]2 [Br]²
Step 3 of 8
Sum the equations for
dt
d[H]
d[Br]
and solve for [Br]. (Use the following as necessary: [Br2], [H], [H2], [HBr], k1, k2, k3, k4, and k5.)
and
dt
2k,
[Br2]
2k; [Br]
[Br] =
k5
Step 4 of 8
d[H]
from Step 2, solve for [H]. (Use the following as necessary: [Br], [Br2], [H2], [HBr], k1, k2, k3, k4, and k5.)
dt
Using the equation for
ky[ Br ][H,]
k3 Br, + k4
[HBr]
[H] =
k2[Br][H2]
k3[Bra] + k4[HBr]
Step 5 of 8
Substitute the equation for [Br] from Step 3 into the equation for [H] from Step 4 and simplify. (Use the following as necessary: [Br2], [H2], k1, k2, k3, k4, and k5.)
2k, Br2
k2 V
[#=]
2k1
k2
V[Bra]|H2]
K5
[H]
k3[Br2] + k4[HBr]
Step 6 of 8
Use the given elementary steps from Step 2 to define HDIL. (Use the following as necessary: [Br], [Br2], [H2], [HBr], k1, k2, k3, k4, and k5.)
dt
d[HBr]
[Br) k2 H,
dt
ka[H2]
+ [HI k3 Br,
– k,[HBr
|(k3[Bra]) – (k4[HBr])
Step 7 of 8
Substitute the value of [Br] from Step 3 and the value of [H] from Step 5 into the expression for ADI from Step 6 and simplify. (Use the following as necessary: [Br2], [H2], [HBr], k1, k2, k3, k4, and k5.)
dt
d[HBr]
dt
Transcribed Image Text:Step 3 of 8 Sum the equations for dt d[H] d[Br] and solve for [Br]. (Use the following as necessary: [Br2], [H], [H2], [HBr], k1, k2, k3, k4, and k5.) and dt 2k, [Br2] 2k; [Br] [Br] = k5 Step 4 of 8 d[H] from Step 2, solve for [H]. (Use the following as necessary: [Br], [Br2], [H2], [HBr], k1, k2, k3, k4, and k5.) dt Using the equation for ky[ Br ][H,] k3 Br, + k4 [HBr] [H] = k2[Br][H2] k3[Bra] + k4[HBr] Step 5 of 8 Substitute the equation for [Br] from Step 3 into the equation for [H] from Step 4 and simplify. (Use the following as necessary: [Br2], [H2], k1, k2, k3, k4, and k5.) 2k, Br2 k2 V [#=] 2k1 k2 V[Bra]|H2] K5 [H] k3[Br2] + k4[HBr] Step 6 of 8 Use the given elementary steps from Step 2 to define HDIL. (Use the following as necessary: [Br], [Br2], [H2], [HBr], k1, k2, k3, k4, and k5.) dt d[HBr] [Br) k2 H, dt ka[H2] + [HI k3 Br, – k,[HBr |(k3[Bra]) – (k4[HBr]) Step 7 of 8 Substitute the value of [Br] from Step 3 and the value of [H] from Step 5 into the expression for ADI from Step 6 and simplify. (Use the following as necessary: [Br2], [H2], [HBr], k1, k2, k3, k4, and k5.) dt d[HBr] dt
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