CHEMISTRY: ART, SCIENCE, FUNTHEORETICALEXAMINATIONPROBLEMSJULY
20, 2007MOSCOW, RUSSIA24848 characters in Problems and Answer
SheetsOfficial English versionGeneral Directions- Write your name
and code number on each page of the answer sheet.- You have 5 hours
to fulfil the task. Failure to stop after the STO command mayresult
in !ero points for the task.- Write answers and calculations within
the designated bo".- #se only the pen and the calculator provided.
- There are 18pages of roblems $incl. %over Sheet and eriodic
Table& and 22pages of 'nswer Sheet.- 'n (nglish)language
version is available. - You may go to the restroom with permission.
- 'fter finishing the e"amination* place all sheets including
roblemsand 'nswerSheet in the envelope and seal. - +emain seated
until instructed to leave the room. Official English
versionConstants and useful formulasGas constant R = 8.314
JK1mol1Avogadro constant NA = .!""#1!"3 mol1$lanc% constants h =
."#1!34 Jsh = 1.!&!34 Js'(eed of light c = 3.!!#1!8
ms1)ncertaint* relation"x p hGi++s energ* of a condensed (hase at
(ress,re pG = pV - constE.cess (ress,re ca,sed +* s,rface tension
Pin = "/ 0 r1elation +et2een e3,ili+ri,m constant andGi++s
energ*rln=RT K G oGi++s energ* at constant tem(erat,re=G H T S
4sotherm of a chemical reactionG = G - RT#ln Q2ith Q = (rod,ct of
5(rod,cts6(rod,ct of 5reactants6ccArrheni,s e3,ationA =e.(Ek ART _
,Osmotic (ress,re of a sol,tion p = cRT7eer- 8am+ert la2A = logPP!
= lc95c*linder6 = r"h S5s(here6 = 4r"V5s(here6 = ,-r3Official
English versionProblem 1. Proton tunneling$roton t,nneling thro,gh
energ* +arriers is an im(ortant effect: 2hich can +e o+served in
man*com(le. s(ecies containing h*drogen +onds 5;! !"5 6 =5+,l%6 G r
G Vr+2.1.1 3alc!late thestandardG"%%s ener()!r516 G
andthee$!"l"%r"!constant for thereact"on *4, at T = 5// K&2.1.2
3alc!late the e$!"l"%r"! constant for react"on *4, when the co%alt
catal)st "s d"spersed"n the for of spher"cal part"cles *2"(&4,
of rad"!s *a, 4/67 #*%, 4/68 & Ehe s,rface tension at the
Do-gas interface is !.1 J0m". DoO forms a +,l% (hase.Ehe mi.t,re of
gases involved in the Bischer-Ero(sch reaction 5DO: DG4: G": G"O6
2as (,t intoa reaction vessel containing the co+alt catal*st. Ehe
total (ress,re is 9 = 1 +ar: tem(erat,re is T =&!! K. Ehe mole
fraction of h*drogen 5H6 in the mi.t,re is !.1&H.Official
English version2.2.1 At what "n"!ole fract"on of water *:, "n the
(as "xt!re the !nwantedspontaneo!s ox"dat"on of the catal)st %ecoes
poss"%le so that sol"d %!lk 3o; a) appear "n thes)ste1 Ass!e that
co%alt catal)st "s "n the for of*a, a %!lk phase*%, spher"cal
nanopart"cles w"th ra = 4 n *2"(& 4,&2.2.2 -hat wo!ld )o!
s!((est to protect 3o nanopart"cles fro the spontaneo!s ox"dat"on
w"ththe forat"on of %!lk 3o; at a constant rat"o " "5I O6 0 5I 6 p
p and a constant teperat!re. *a, to "ncrease ra w"th S;> and
H>; occ!r "n th"s case1 -r"te down %alanced react"on
e$!at"on&3alc!late the T +al!es of "od"ne sol!t"on "n each of
the follow"n( cases.4.2.1. 1"."! m8 of Bischer reagent sol,tion
2ere ,sed for titration of 1.3&" g of sodi,m
tartratedih*drate
