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?,. PROBLEM SEl'l
CI.IEMICAL KINETICS
Reaction Rates
Meanlng of reaction rate
rraitorsiftecting rates of reac[ion
?.1. Nature'ofreactants;..i.. concenl'ratioti o[reactants
2.2.1. Rate equation or ra[e law
Z.Z':. Law of 'Mass
AcLiott
2'2.3' Rate constant
12 q' order of reaction
i,z-,s. Half-tife of a reaclron
2.3. TemPera[ureZ.:,f
" Arrhenius Equation
i':'z' EnergY of activa[ion
7.q. CatalYst - ^. .^ -=t.trrciq
2'4'1' HomogetteouttuflT:::.
1qi Heterogeneouscatal\'sls
e Theones on reaction rates ' :3.1. Coltision Theory.1:''' 3.1.1. . Ac$vation energY
3'I'2.' S[eric factor - 'ir'-:^^' 3'1'3' FrequencY of colltston '
3.7' tli"ansition State Theory
Reaction Meclranism
1' :t5:H::;fiti?l'..0 rare-deternrinins step
' :Hil:i.'il":f'lon' o'oounation' termination steps
NUCLTAR CHEMISTRY
iJr
i' RadiOactivttY^-r ,eactiofis versus nuclear reactions
chemtcat t
rT 'd ,Radioactive DecaYrr' r. nuoiouttltt ff::: 3p6 g6ificially Induced RadioactrvitY
2. Nuclear Rea
l'nii.r"utTransmutailon4:,. Electron CaPlure
;. Transuranium Elemenu
r\r Mass Dgfect and nuclear Bindinq Energy
'"' 1' Nut["ar StabililY
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.-J
I
fiuclear fitiian ;:nd I luclear Fusion
El{eclof l).arjiatir:n on 14atter- lJnif; r"rsr:d foi mcasuring radiation'
t,pplicaii ans of Ba d i oi soto Pes
Each of the follovring nurnbers con5ists of the follovring quantitiesr one in coltrrnn I and
another in colurnn il, 'i;; ;;; it cornPare the tvro quarrtities and choose
A iF the quantity.ln Column I is greater
B if the quantibl in Column II is greater
C if the tvlo quantities a're equal -:..^^ ,^6^.marie
D if the relationship *;;;iil;;*termined from the given information
" Colu6nn ii
Slnat is/are the catalYft/s?LV.i,'m.HI
P, ---*i P is a first order reaction -t:: of reaction al25'C
. trtz 0f reaction at 50'C
l*i[;'j',,,,,, ..
Er- c,i P.xn I 'v, I .-i ''
Ea of P;n II
e ':lf-iife 0i the :crcrd
qrder t.,r'i5'''r?.. ' .
P,at= canstant v,'he'n lA1, = 514 Reie'constant vilhen [A]: = ]0 l'1
Rate Constant = 50 s-r ior'the reaction
Eawhenlxl' ='io tt' Ea v'rhen lxlo = z0 a[ir'I
7g + Bz -'-"-+ Z
Rate of disappearance of c ,, , ,t( { .- r r,l-r t ilt
* formation of Z
-7
Fscfi afthe questions orlncomplete statements belout is followed by suggested answers'
*tte**eanswer vrhich is best in each'case'
tre harf _.rife ofa first order reacti.n is 5 sei. How rong vl,r it take to reduce the reactant to
1/c, of itsoriginal value?
A) 5.sec 'Ll 10 sec c).i5 sec : D) 20 sec E) 25'sec
The,ioJrovring sequenre-of rea$ion has been-proposed for the -cataryzed
production of Hzo:
"- -Z HrO + S9-) + i''--+ H2SO4 + 2 HI
Z Hi ---t Iz 'i Hz
HrSO. ---+ HzO + t50) + tPAt
,..\
Colurnn I
ta
(
fi
L,
-)
I. SOz
A) 1, iI. II:H,sO{
B) Ii, m, w c) I, iv D) Il,IIIA) L' tr
rresponds to the follorrying mechanism?
3. v/hickof the foltovring'enbrgy prbfiles coirrry v"-''' 'A * g ----+ AB (slow)'
AB + C -== ABC (fast)
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Progress of reactionProgress of reaction
iLt
ta
A) i B) IIi c) iI' N D) Il E) I' II
4. \'Jhich of the foilorvin$ cquses a candle Y*Jo burn'faster in an atmosphere of oz than in air?
1. an int'"u="]ilil;;;;tttration-of the wax
11. ln increase in the concentr-ation of O2
III' nn int"ut* in thc sLrrl'acc arca of [ltt'w;t:':
o;,* ul,l'$0"'"';,',lTll" D) Ir ' E)r' 1I' ,r' Iv
5.Inthereaction:A+ZB-P,itis.foundthaldoublingtheConcentrationofbo|hAandBincreases the rate bv rour EI!'- YL'l^' 'i' oo"io ' "'$:;r?:ii?J::fi'"il""""d order i'r B-
I' first order in A' hrst oroel rlr Ir
II- "'onO'Jra"r
in A' zero'o(er in g V' second ordt' in A' f,rist order in B
III. ze'o order in A' Second order in B
A) I, II. V B) l', iI', lll o I', llD) I1l' N E) 11' lll' v
o wrrv d oes T[ :fiiffi l,li:,fi:'':il..}f ff:fff. ::Tp::t:: "
is i':creased
, ; ll; *."+1,$;'fl.:1.,1 ru:.fx"*TT::flI"-:i;tr#!:il'ffersv to cross rhe
barrier E) I, IV
A) 1, lI, ill u1t'' "'' " .,c)u'
ttt D) 1l' iv
T.Whichofthefollowingeeuatiolsj,]'aPRlicautgforthenelreaction:A+B'_l2C,whichoroceeds uy a srnir*Jep' ni*oruc;iur mechanism?
"4fi;r-'"1" = o 69* o nr A = k tAllBlA) hatr _.*E -. "."-_,n.*
of A = k [A][B]
:i :E:iffi5n'if ii ['= *t' er oi"pp*"unce or A
;i ffii;ili-* t2303)t + rosrAl"
fj att of the above
\\\*._
/'\i\I \/ \l ,'., t
Progress of reacttonProgress of reaction
Hf of $tf e!cz!Dbn Tdboof dryn ljort jh/dpn
;r-r'. t.r rii::i:i
A and B, both of which are gat.,:, *:t:,T,l:d_I a rigid container. No rcaclion w'rs oi"'sttvctl'
9.
i"i.t.*ra possibly aciount for the observation?
I.TheenergYofatlreactingmoleculesisfarbelowtlteenergybarricr,ii. ' ,lu i"..ting molecules are are nor properly oriented'
IiI. I!0 catalys[ was added'
N. flot "nougll
amounts of A and B were added'
A) I, N ei i,-il'cl iII, iv ' D) I' II' IIi E) l' II' lil' iv
\ryhich of ihe following statements is GORRECT about the second order"reaction: 2A *r t] + c ?
' I. rhe rate tiint it"t'on decreasps ".*o::,8- ill :::::::ll':t * A wirr be rerrrtcerl; f:rl'l:,?:,i['J;l;;,?X,ffiffi,t;i;, ffi;il concPntration or A wirr be rerl ctd
to % of its original value after 20 ntin.' , . ,. -
"t"r'".
. ili. A plot of 1nl uutt" time yields a stiaighr line'
iV. The rate of iormation of C is on*fluffin. rate of disappearance of A"
v. -the rate } cf,niumption or n quaUiup'* -Tt-lol.rs doubled'
A) I, Ii, IiI B)1, IV c) i', iv', v n; it'. ttt E) III' lv' v
10.Aflrst'order rezjction: A,--_+ P, has a half-life of 100 s' Whiclr of ttre foilowing is TRUE for
:^'r orr:riiifv of subsia:r':e invoived in the reactiott?
;i'il; t;;ition eoes:o completion in 200 s'
ai ine quanti\ "i"i ":#;i;q iftt' 200 sl; half of what ren';'irs ;ner 100's
g', rhe ,u*" o,unil*ir'; i;;;;;.,t-d.'q' tuu,-v 100 s ror th: rea:iion
L i 100 s elapses befcre r=action begtns' iE) i'lone of ihe abo'^'e
11,lr Is found tha[ the d:composition reaction:'^'
oi i:i rin when the iniliai pressure of HI is
;'c*t ,t the order of the reattion?
;;;;; -
B) rirst c) second
t) insuificient data
2 HI ----r Hr * Ii, at StrS K har a lratf*lifc
6.r'ut,,;# zi ,nln t"'hen the pressure ls 0'5 atnt'
D) third
lz. Ii--ntifu the process described by the reaction: s3214Bi
A) alPha decaY B) beta decaY
oi-'positton d.tuY 'E) fission
t:. fnis reaction describes electron capture by tungsten-181'
A) zrrs'v\1 1 -,',a'-J--- llu'ru ' -01'
"tu'w -l- -toc
-1 T5rurRe
c) ,o'BrW ---* ,r"'TB '+ -,oe ;i
'lsrW --; 75ru'Re t +t,e
t
14. V/hich nuclear reaction will prod.uce-{8j'',1^'-'ei" potu*ti"*-l: decay by proton emissron
BJ' Dorasslum-ro decay by positron'emission
;i ffi*" caPture bY Potassium-3o '6i i'.utton capture by potassium-3a
15. What type of emissiont'vill produce U-238'lrom Pu-242V
C) positron emtssion D) proton emlsston-
t-
--3 ,."*Po + -roe
C). gamma decaY
Hf of drd elcz!Dbn Tdboof dgpn ljotl jh/dpn
@'Pt:&l *:t"Y/ Y Ib'iY/ a' .<-r/ 0,/5 tr8g
!)(/t 5a
" ifi:?.$:trfi.i#4ffi,,,.,r#'u' o"'Z'
u,,n.A) beta PaI
15.2. mercury-t88 decays to gold-1BB-'
A) beta Partroe . B) Positron
5.3. radon-222 decays to polonium-218 -
A) be[a-Particle B) Posi".-ron
5.4 thorium-Z30 decays lo a radium isotope
''' '"";;';.i, prttial B) Positrr'rn
Lt , StrnPIY the missing Particle'.
17.1. st"'Cf + 5"6 4A)
'oiuolr
17.2. iH + zrHe'A) ,lH
r7.3 :i':l 'u"'Xg -"- "ni ,tg q ;!
LJ.4 zesete --,---> -'ot oA) zceFe
rl-rJ o tr
B) ,*u'Frn
2a{e * -B) zaHe
+
C) otn
'C) oinD') -t'z
. C) alPha
CJ alPhe
C) alSit;:
D) neur.rcil
D'1 r;eut-rorr
D") neu?'on ?=
D) neutro:i
D") ,f'io
l^'r ,.r,i""ili, D1 ':'lzi?3
D) -,'e
IV, Solve tlre following prol;lints' :,ncentration of D is 0.150 14.
' ff,',i'j:.,|tji,',:'flli';3,il I;'lf'l1i#'il1;l'J/i[] [ii;;;;'; er' t,)ftrst c'rcier; (C)
s.ionO order; (D) third order'
Z. The follov,ring data obfaine d * ?5:.? !::tfre
reaction'- 7 h + A + Z C'--'- 3 D'
Exneriment ,n,r,uiiot, il- -
ini'itt tBl' ; -
lnitial [c]' 14 lnitial R'ate (t'4 min ')
i o'l;'' ''' ^" ''q'ii" o'10 4'o x 10"
z a;'io o':q o'zo 1'7 t'10-r
'3 ofi o 19 o'30 4'o Y' 10"
'h o;o o3o, o'40 3'6 x 1o-r
A) What is the rate uq'"'ilonZ B) Whai is the value of the rate c'nstant?
S.t4anybiologicalreactionsareacid_catalyzed'AQpicalmechanismconsistentyaiftthe.-p.iri*..ii rate equation
. Rate = k LXI [HR1v,
'
In which HA'is the acid and X is the ieactant is given as follovrs:"" -
'.- Io *=il [=.. *fr' liili]XH, --; ? (slow)
HA is Ure onlY source of H' and A-'
Hf of sbd e!cz!Dbn Tdboof dgpn ljott jh/dpn
oliCt,
$O'
'/o-o:
hYjsl
A) Show lhatthe nrechanism is consistentlvith the rate lur* uuing, a) Equilibrium aF)proacl\;
b) steady-state prinfiple.B) Sketch the reaction profile.
For rhe frrsr order reaction: A -+ p, aH = -.20 kl' Ir the activallttft:#t H ';;:i'il''',P"
P
For the frrst order reaction: A .-+ p, AH = - 20 KJ' II Lrru ou''""";-C i, e.iS min, what is
* A. is 60 kl and the half*life of the reaction' A -
P' at l':
lihlf-life of the reaction: A -.-+ P, at 50'C?
\
s'r:--' A -? B' is 35 min' enougltAls'placed itt
-1
the half-life of rhe first order gas-phase r:acLio^n:j .=i;;i oi.$rr. aiter 1'10 mirr?The half-life of the first order gas-phase isactlon: A < ! "r -
ssure aiter 1'10 min.r
a container so that ib';;";';;;z1s mm Hs' what is the toral pre
i 'vith the observed ra[e latt'
6 Propose a plausible mechanlsm tgn:i:tTt t'Tr''*;,"*'l+,
Rare = [Nozcl] tt'lt'nl"itlttion'"; ils-61---* 2 No2 + c+2
7- The rate constant at several temperatur:s have been reported for trre reaction of acelanlide
-t'rt 'iil'=
acid in aqueous solution: I n rcq
O'f SZ 0'1S2 0'233 0'26J v'1" r
k (L mol- r) :-':' ;;; 30.0 32.0 ir'0'. ('C) 2i'0 7l '5
Detei'nrine tlre activai':c*tnptgy graphica\\y''
:tionstepsintheorderoichain-iniii;tion'an''ir-hain-r: Rear,ange and label r:re iollorruing rear:r'
prnpagation steps: CIO + O .--,-----+ CL 1. O,
^crit' + uu -_+ gF'zcl : cl
""Lr'" oe + Clo + oz
rr -^_arinnT
Suggest a possible chain-ternrinatfon stlp' What is the over-all reaction?
9' Al temperatures belor"'l 50g"c' tl" -'::- dimerization of:" czH+ + c-rHs follows second
order kinerics. At 1400c, the rate.".*;i'fJ;hir r.iirion ir:.qz x 10-r M-I s-'. Suppose we
start with 0'20 n4 ;rLtH" what fractiJil iht original concenlration would remain after one
hour? )-5 g' what is the half-life of recl?
10.It takes 165 min for a- 1'000-9 sample of reCl to decay to 0'1i
i , . ^n is accidentally exposed for 95 s to a 28-mG source of beta radiation coming
11-A 65-kg Perso- -'n'o* u iampte of ssr'
egrations per second (dps)?
11.1' Wnat is tiri activity of the radiaflon source in disint
, l',i Hil'..;.'ri*IJ[ny:rm""'ffi;:ii?i!]''l'o 50% or the m*i:l:'{}$ is
' au,oqj;-uy the person, .nii,,ii.g tr",tt tl.q ui,,ojlJ.|-udiation is spread $". the
11 4 ?r[,T ;,'ffT#;'JJ'., icel's*: *sa? !: lfl i :?': L#T': : 1 ; ]?H'i n o'n s i p ve rts?
Hf of $d elcz!Dbn Tdboof dgpn ljorl jh/dpn