Chemistry11
Kinetics
Homework 1
Name: A ns.r.r
Kt
(1) In the Haber processfor the production of ammonia,
Nz(g) + 3Hz(g) -+ 2NH:(g)
what is the relationship betweenthe rate of production of ammonia and the rate of consumption
orhYdro*:*ry
-
= f \cp{$
Z ; I
A t
- z afsJ
D9
=
At
3 A L"t+tJ
-T+-
(2) The reaction 2NOz(g) + Clz(g) + 2NOCI(g) was studied at -l0oc. The following results
were obtainedwhere rate : -A[Cl2] / At
[NOl" (mol/L)
0.10
0.10
0.20
a. whatistheratelaw?
TL*- z
ffi,
fClzl"(moVL)
Initial Rate (IWmin)
0.r0
0.18
0.36
t.45
0.20
0.20
Rof.
:) nt=t
=
k t ril*f,.t;-
R*'b- r
:)
t\ = -l-
?.-^t'z
?,*- = k [rctt
fc-ril
b. What is the value of the rate constant?
+
k=
R*t*
L* o-ltfari\
=
ltu
*l
I l'*s[
r L l*\
n
(3) The rate of the reaction,NOz(g) + CO(g) -) NO(g) + COz(g), dependsonly on the
concentrationof nitrogen dioxide below 225'C. Using the data below, determinethe rate law,
the integratedrate law, and the value of the rate constant. Calculatethe [NOz] at2.7 x 10asafter
the start of the reaction.
Q*t.
= k [tor]^
bL rcl.
r-s a.
Xru
bc J.r-r
[37
fn
L
[,"
fr(
t
A
Aa -Lt
Time(s)
lNo2lM)
0
1 . 2 0 x1 0 '
3.00x 10'
4.50x 10'
9.00x 10'
1 . 8 0x 1 0 "
0.500
0.444
0.38r
0.340
0.250
0 . 1 47
+ A b
= k t L -L
Ao
o{l^ A ? - - t ( t + A o
l-, f^rol
"*13
D.4lz-
t/L-ofl
Z.t"t'
?_.zs
- b.lus
z.Ll-
( ' D-1q
L. {.t
-('.]€ u
t.1rt\
t.o t,
5.1r
9
s
1
7
z
t
'Lo
?.of--= kL""Jt
O
k= 2.Dqx\u-t L
c-ut S
I t.b
2.1rtut s
= 1'LL
fr-of
,1. h
:
L = &.oqx6o)lte*,J\
LooJ
=)
(?.o
$ , - 1 .
o.SlD
(4) Determinethe rate law and the value of the rate constantfor the following reaction:
I-(aq) + OCI-(aq) -+ IO-(aq) + Cl-(aq)
[I-]" (mol/L)
[OCl-]" (mol/L)
0.t2
0.060
0.030
0.24
R".t-: l*-tf:
R*L-t
n-
7.91x
3.95x
9.88x
7.91x
10-'
10-'
10-'
10-'
-Pt
L bar_J
q^$,- z
A= t
1(*$"a
Initial Rate (IWs)
0.18
0.18
0.090
0.090
-
fr+"-l
=)
r"\= (
Q-1.= k L--JLo.ra
k= [t+-
:
,ffi
Lr-lL"ul
3.tL L
,^_ot 5
(5) The radioactiveisotope 32Pdecaysby first-order kinetics and has a half-life of 14.3days.
How long doesit take for 95.}Yoof a sampleof 3'P to decay?
t-r,I =Y T[*L
k =
D'Lji3v .o\t l.* -l
a b
-a;
s5
I
l,q A"
- =
A
'ld
'->t^L2kt
b.ot
t = . 2'1\L_
o. pttQ
(6) Expresstherateof reactionin termsof the changein concentration
of eachof the reactants
andproducts:2D(g) + 3E(g) + F(g) + 2G(g) + H(g). WhenD is decreasing
at 0.1IWs,
how fastis [H] increasing?
'+'F,- iry: & l
-+^P'
Yt,
DI
U<
A l o t + L u J to b r
(7) For the simpledecompositionreaction,AB(g) -) A(g) + B(g), rate : k[AB]2 and k : A.2
L/mol s. How long will it take for [AB] to reachone-third of its initial concentrationof 1.50 M?
Ag ? Aso/l
h=*At';0"
_ ! e : : L' l r
o,<
l-{o
( a L . Ls1 : 1 )
(8) The rate of a reactionis expressedin terms of changesin concentrationof reactantsand
products. Write a balancedequationfor the reaction:
-ll24[N2O5]/At: 1/4A[NO2ft
Lt : AlO2]/At
'{
L Mrot --? NDz + Ow
(9) What are the stepsinvolved in solving for the rate law of a chemical reaction?
oa^ [^ J,rr-- 4uo Dns:
A,t
,!
Q t-1.11^"1
4 n$;l
' r:, ,,"iu) c*olnr
vI"L uaj\ frl...t,o)aa)
okou,
nL ,ktr,lL^^ iJ+"1
A,a l.
O
- pTasr,n
671r,.,t r,nul\o,t
[*a]
orn {,^.; tL. f;;u,
Sl*^rVL*
t-,fL,