gate chemistry 2010

2010

CY : CHEMISTRY

Max,,,,,,,,, Mark,. JOO

Read the followin!: instructions carefully.

I Thi, que,[ioll paper contains 24 pages mcluding blank pages for rough work. Please check "II pages and repon discrepancy. If any.

2. Wnte your registration number, your name and name of the examination centre at the specified location' on the right half of the Optical Re,ponse Sheet (ORS).

3. Using HB pencil. darken the appropriate bubble under each digit of your registration numher and the letters corresponding to your paper code.

4. All questions in this paper are of objeclive type.

5. Questions must be answered on the ORS by darkening the appropriate bubble (marked A. B. C. Dj using HB pencil against the question number on the left hand side of the ORS. For each 'Iuestion darkcn the bubble of the correct anSwcr. In case you wish to change an answer. erase the old answer completely. More than one anSWer bubbled against a q...estion will be treated as an incorrect response.

6. There arc a tOlal of65 questions carrying 100 marks.

7. Queslions Q.I - Q.25 will carT)' I-mark each, arid queslions Q.26 - Q_55 will carry 2-rnark. each.

8. Questions QA8 - Q.51 (2 pairs) are common data questions and question pairs (0.52. 0.53) and (Q.54, Q.55) are linked answer quesuom. The answer to the second question of the linked answer questions depends on the anSwer to the first question of the pair. If the first question in the linked pair is wrongly answered or is un-attempled, lhcn the anSwer to the second question in t1K: pair will not be evaluuted.

9. Questions Q.56 _ Q.65 belong to General Aptitude (GA). Questions Q.56 - 0.60 will carry I-mark ea,h, and questions Q.61 - Q.65 will ,arry 2·marks each. The GA ql.>estions will hegin on a fresh page ,taning from page 15.

10. IJn-a!t~mpted que.lions will carry zero mark..<.

II. Wrong answer, will carry NEGATIVE marks. For 0.1 - Q.25 and Q.56 -Q.60. % mark WIll be deducted for ea,h wrong anSwer. For 0.26 - Q.51 and Q.61 - Q.65. ¥. mark will be deducted for each wrong answer. The question pair' (Q.52. Q.53). and (Q.54, Q.55) are questions ... ith linked answers. There will be negative marks only for wrong anSWer to the first queSlion of the linked answer question pair i.c. for Q.52 and Q.54. +.I mark will he deducted for each wrong answer. There is no negative marking for 0.53 and Q.55.

12. CalculutOl (wjthout data connectivity) is allowed in Ihe examinalion hall.

13. Chan" graph ,heelS or tables are NOT allowed in the exammal10n hall.

14. Rough work can be done on lhe question paper itself. Additionally, blank pages are provided at the end of Ihe question paper for rough work.

Cy ",.

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2010

I, Physical Constants

(a) Planck Constant, h" 6.626 x lO - .... J s

(b) Avogadro number. N" 6.023 x 10 2.'

(c) Speed of light, c" 3 x 10 g m S-I

Some Useful DIIIII

(d) Gas constant, R == 8.314 J K- 1 molc-1 ,,2 cal K- I mole' I

2. Atomic Numbers

B 5 M"

Mg " F,

P 15 Co

A, 33 Co

Sb 51 Z" Bi 83 Mo

C, 20

25

26

27

29

30

42

Q.l - Q.25 carry one mark each.

Q I The Lewis ,,~idi(y of BF, is less than Uci" even though f1u(}rine is more electronegative than chlmine, It,s due to

(A) Slronger 2p(B )-2p(F) a-bonding

CC) stronger 2p(B )·3p(CI) a·bonding

(Il) >!ronger 2p(B )-2P(F) ,,-bonding

(D) Slronger 2p(B)·3p(CI) It·bonding

Q_2 Pyroxenes are a class of silicate minerals. which c,hibit a polymeric chain stru<;tur~, as shown hel"" ,

P 0 / ]\ /]

~ ~ \:0'l' b b· = Silicon 0 = Oxygen

Its simplest repeat unit is

(B) [SiO,]'- (C) ]Si,O,lo-

0.3 Among the followmg pentachlorides the one which does not e,ist due to the 'inert-pair dfect' is

(A) PCI, (B) BiCis (0 SbC'I, (D) AsCI,

QA Band lhco')' predicts that magoesium is an insulator. Howe,-er. in practice il acts os a ~ond""tor due

" (A) preoetlce of filled 3s orbital

(C) overlap of filled 3. and empty Jp orbital (B) overlap of filled 2p and filled .15 orbital

(D) preoence of unfilled 3p orbital

Q.S The numher of 'framework electron pair" present in the borane cluster [B"H,,}'- i,

(A) 10 (B) II (e) 12 (D) D

Q.6 The r~action hetween IPdCI,J'- and C,II. produces a new compound_ Compared to free C,I-I,. the C·C bond order of the product is

(A) hetween 1 and 2 «(') unaltered

(B) icss than I

(D) greater than 2

0,7 Among 1he following pair of metal ions pre&en( in Nature. (he firs! one functions ~s ~n electrontran,fer agent and the second one catalyl.cs tile hydrolysis reactions_ Tile correct pair i.l

(A) Fe .lnd Zn

«(') Co and Mo

(B) Mg and Fe

(0) Ca and Cu

Q 8 Structurally nickellocene is similar to fcrroecnc, Ni~kdloccne attams stah>lity due '0 the formation of

(A) a m,,"ocation

« ') a """'00";00 (n)adlcation (I)) a dlanion

::.0", <"y

Q_9 The absolute conf'guratlons for compound, X and Y. r~'pectiH)I)'. art

"0 M,

" ;:=.-<;

x (Al R. S

Q.iO In the reaction

C",

" (B) S, R

N f'I'lHSO 2M NaOMa

~; 180°C

!he major productlXI is

(A) d

y

(C) R, R (D) S, S

•

(D)

Q.ll Among the following. a pair of resolval>l~ configurational enanliomer, IS gi"en by

(Al cis-1.2-<1nnethy!cyc1oheunc (e) cis·] ,4-dimethykyclohexane

Q.12 In tlte rcacMn

"NO,

the major product [Xl is

• [X]

o (A) 6

r""Y CHO (B) L-J

(ll) ,.,.,. I .J·djmctitylcyclohexane (D) rr~ns-l.3-dimelhykycloltexane

«('J ~" (D)

2010 CY

Q 13 The del:reasmg order of isoelectric point for the followmg a-amino acids is Lysme Alanine UIUIJrntc acid

(All>!l>lIl (ej III > 1>11

(I) (II) (III)

(B)II>i>UI (l)1>1II>1I

Q_14 Too decreasing order of the reactivily of the following compounds towards electrophiles is

Q.15

Q Q " , "

(AJ II:> 1:>111 (C)Ui:> 1:>11

In the reaction

heat -'-"-... [X]

the major producljXI is

,A) IB,

0 m

(B) I!:> 1II:>1 (D)I>lI>m

'C) (0)

Q.16 The decre:,.,ng order of acidity of !he marked H of the following molecules is

, (A) l>ll>lIT (C) III >11:>1

" (B) 1II > 1>11 (D)lI >1 >m

m

211101 I:Y

"

Q_17 Tile decreasing order of nucleophihClty for till.: following anions IS

CH,CO,-. CH,O-. C.,H,cf. NO,

(A) Cll,CO,- > CH.D > C.H,O- > NO, (C)CH,O->CJ{,o- >CH,CO,-> NO;

(B) CH,O- > "10; > CJ{,O- > CHlCO, (D)C"H,O >CH,O->NO, >CH,CO,

Q_18 The molaremropy of crystalline CO at absolute ].ero;,

(A) Zero (B) -Rln 2

Q_J9 For an ideal gas

(A) (OPI ef), (Of I oV)p(oV I apJr ~ 0 (9) (aPI ilT)" (ilTl iN)" (aV I OPh '" -I (C) «(}PI ilT), (ilTl oV)p (OV I OPh '" + I (0) (OPI aTl.· (ilTl av)p(avi (}Ph '" +2

(C) Rln 2

Q.20 Among W (work), Q (heat), U ('"temal energy) and S (entropy)

(Al Wand U are path functions but Q and S are ,talC functions (S) W and S are palh functions bUI Q and U arc Slale functions (C) Sand U are palh functions but Q and W are ,talC funclions (D) W and Q are path functions but U and S arc stale functions

(D) 2Rln 2

For eigen funclions VI, ~ II Sin(~) and VI, = II Sin( 21'-") of particle in a I-D box of length Vb\b ·Vb b

b(O"'_t",b)

(AJ ,+" i. normalized and OTlhogonaito ,+"

(B) 'fI, is normalized but not OTlhogonal to ,+"

(C) ,+" is nonnalized and orthogonal 10 '+'1

{OJ ,+" is neither normalized nor orthogonal (0 ,¥,

Q.22 The bond order of C, molecule is

(Al () (B) 1 (C) 2

Q.23 Sulfur can exi<t 1ll four phase<_ The possible number of triple points is

(A) 1 (B) 2 (C) 3

(0) 3

(D) 4

Q.24 The standard reduction potentials at 298 K for single electrodes are gi,en below.

Electrode

From this we can infer that

(A) Zn can reduce both Mg'+ and Fe" (B) Fe can reduce both Mg" and Zn" (n Mg can reduce both Zn" and Fe'+ (I l) Mg can reduce Zn'+ but not Fe'+

Electrode Potent1al (volt)

-2.34

-H76

(,124

2010 CY

Q.25 For lhe pail' of rcawons given below

i) N,(g)+3H,(g)~2NH\(g)

, 3 i,) :;:N,(g)+"2H,(g) NH,lg)

jf at a pal'\icular temperature., KPI and K,~ arc the equilibrium conslants for reaclions i) and ii) respectively [hen,

(A) Kpl =2K",

(C) 2KPI = K"

Q.26 - Q.55 carry two marks eacb.

Q.26 According!O VSEPR model, the shape of [xeOFsr IS

(A) octahedral (B) trigonal bipyramidal (C) square pyramidal (0) pentagonal monopyramidal

Q.27 The number of unpaired electron(s) prescm in the species (Fe(H,O),(NO»)" which is formed during 'hrown ring test' is

(A) 2 (B) 3 (C) 4 (D) 5

Q.28 Fe,O, and Cop, are metal oxides having spinel structure. Considering their CFSEs, the correct slatemcm regarding their structure is

(A) both have nonnal spinel structure (B) both have inverse spinel structure (C) Fe.D. h" nonnal and Co,O. has inverse spinel structure (D) Fe,O. ha., inverse and Co,O. has nonnal spinel structure

Q.29 The mechanism of lhe reaclion between [Fc(CN) 014- and [Fe(bpYhl'· (bpy = 2,2'-bipyridine) is

(A) ouler -'pi>ere electron-transfer (B) inner-sphere electron-transfer (C) self -exchange reaction (D) ligand-e~change followed by electron-transfer

Q.30 The d-d ab<arplion band of [Fe(H,oJ.l" is split due to

(A) presence of octahedral geometry (B) static lahn-Teller distortion (e) dynamic Jahn-Teller dislortion (D) pre,encc of trigonal bipyramidal geometry

Q.3l The cry,tal-fLeld symbol for the ground-slate of IMn(CN),I4- is

{A)'T" (B) 'A" (C)'E.

('y

1010 ry Q.32 In the following rCl!ctions:

•

the rcagemlcondiuons X and Yare

(A) X = SF,; Y = heating at 1250"C (C) X = NH.f'; Y = HCI

" y I -+t=t • ChCHCHCh

(S) X = NaF; Y = heating at 250"C (PI X = CF,SO,H; Y = H,SO.

Q.33 ICoCI.)'- i, a blue coloured complex. Controlled-treatment of this complex with water generales two isomeric light pink coloured complexe, of composition [Co(H,O).Cl,i. Identify the correct poim groups for [CoCl.I).. and two isomeric complexes [Co(H,o).CI,I.

(A) D", and (e '" and C"J (S) T" and (C",. and D",) (e) D ... , and (C" and D.",)

Q.34 In the reaction

Et~CXC~H the major product [Xl is

(A) (8)

v

;0 Q.35 In the reaclion

OH

x::: ( heat •

:0 " ",SO, OH

the major proou"tlXI is

(A) (e)

L&He

ii. Ii"

[~

o 0

aee(

(D) T d and (e,_ and C4,)

• [X]

(0)

(C) (D)

Oy o

v ,

l~IO

Q.3b In the following reaclion sequence

'" '" A ~"OH

H

i N:)CVPy ii. light

--_. I~ iii. hydrolysis

lhe major product [Xl is

(A) (8)

=e ~e ""DH

''''''OH

" "

(e)

6~ ..

" Q.37 In the reactions

mCP"" IYJ _0-- --_. I"

(he major products, [Xl and (YJ, respectively, are

(A) (.)

,~ ,., ~

" (e) (D)

,,' ~~ <,

(m

·0"

moe ~ and

0 """

,,' ,~

2010

Q_38 In the reaction

N SnCI.

~,----,

the major product [X J i,

IA) (8)

Q.39 In the reaction sequence

CH.!OH

~o i. Hg(OAc)2IM9OH

OHH;'; .. [X]

HO ii. NaSH. H

(e)

HCI

the major products. IX] and IY]. re,pc~lIvcl)·. are

(A) (II)

,~ ~ ~ ,OiiEt .00

~ "'" M~

(C) IP)

"

(D)

'"" ~ M~

,~o ~ ,~o ,~~ '00 .~£0: O~ O~

OM, OM.

Q.40 The change in emropy when two moles of Argon g~.' Ul"C heated at con.tant volume from 300 K (0 500 K is

(A)-12.74 J K-' mole-' (C) 6_37 J K- ' mole-I

(I,) _6.37 J K-' mole-' (I)) 12.74 J K-' mole-J

------.--- - ---,-:y ,012'

2010 CY

QAI At any temperature T, the [uga"ily ~oetTidcl11 (y) i, given by

/' Z -J , Iny= J7"P

o whcr~ Z i, the compressibility factor. The fugacity ,()emdenl of a real gas govcrned by equation of state P (V - b) = RT wilh b a constant is given by

(A) RT bP

"' (B) ~.,' 1>1'

(el RT

Q.42 The specIfic rate constant of decomposition of a compound is represented by

(2000 Ink 0=5.0--

T The activation energy of decomposition for lhis compound al 300 K i,

(A) 24 keal/mole (B) 12 kcaVmole

QAJ The commutator! ,,'. p.] is equal to

31u' (A)--

2tri

Iu (8(-

2tri

(0 24 callmole (0) 12 callmole

31u' (O(

2!rj

Q.44 An electron of mass . III' l' confined to a One dimensional 00. of length . b'. IF it makes a radiative transition from second ncited state to the ground state. the frequency of the photon emitted is

9h (A) --,

8mb-

2h (D) -

",b'

Q,45 The point group of elF, molecule and its corresponding number of irreducible representations are respectively

(A) C'" and 4 (B) C',.and 4 (0 C. and-, (0) C,.and 3

Q.46 The most populated rotational Slate for Hel (B = 8.5 em") at 300 K is

{A)2 (B) 3 (e) 5 (D) 7

Q.47 The ratio of life times of two states that give rise to line widths of I () CIl" and 0.2 em-' respectively ,;

(A) 1'2 (B) I ; 5 (e) 2. I (0)5:1

Common Data QuestioDll

Common Data for Questions 48 and 0:

A six-.;oordmate transition_metal ~omple" is ESR and Mb.shauer active. The effective magnetic moment of this complex is -5.9 B.M.

Q.48 The metal-,on along with it" oxidation <tatc ond the number of unpaired electron present are

(A) Fe(Il) and 4

(el Fe(llI) and 1

Q,49 The complex is

(A) [Mn(H,O).)'+ (B) [Fe(CN),],(C) iFe(H,O),)" (0) iFe(H,O),]'-

(B) Mn(lI) and 5 (l)) Fe(l]]) and 5

, 112.

1"'~

Common Data ro. Questions SO and 51:

An organic "<Jmpound IX] (('"H,.O,) exhibil' the foll<Jwing speclr~1 dalJ IR. _1720cm· L

'H :-IMR: 2.3511. bH). 3.10 (5, 3H), 3.83 {t, 2H).4.42 (I. 2H). 7.07 (., IH). 7 5H (so 2H) The compound IXI with an excess of MeMgBr give> a J'J mixtu,"" of compounds IY] and IZj. The compound IZI exhibit. the following 'H NMR data. 2.0 (bs. IH). 3.30 Is, 3H). 3.56 (t. 2H). 3.70 (I, 2H)

0·50 The compound [X] is

o

(Al (B)

(C) (D)

Q.51 The compound IY] is

(A) (B)

0" 0"

~ "'" ~" +y ,,.., ~" (C) (D)

"y "" /a.Y.OH )::) ,od ~H

. __ ._----

20,"

Linked Answer Questions

Statement for !.inked Questions 52 and 53:

In the reactIOn sequence

IVef'olgBr Ph

'x CHO

HSC "

-----.. IX] (major) + IV] (minor)

i. TsCVPy

[~ • rZr ii. NaOEtfEtOH

Q.52 The compound [X] IS

Ph Ph

(A) +H' (B) H,C+ H,C Cf<,

OH OH

Ph CH,

(e) ~~ -I--~ (0) :+ OH CH,

Q.53 The compound [Zj is

M, M,

1(: '~ (A) eo (B) eo "0 M,

"' Ph

(C) reo (D) Mo-{-Mo Mo,

H H

11110

Statement for Linked Questions 54 and 55:

[n the I.! vs. T diagram for different phases of th~ same substance at one atmospheric pre"nre. the lines A. Band C compound to

" " •

• •

" " " " " " • F::E :0

T

Q.54 Based on the above diagram:

B

c

(A) A represents the change in chemical potential as a function of temperamre for the solid pha,e. B for the liquid and C for the gas

(B) A represents the change in chemi,,1 potential as a function of temperature for the liquid phase, B for the gas and C for the solid

(e) A represents the change in chemical poten!ial as a function of temperature for the gas phase. B for the liquid and e for the solid

(D) A represents the change in chemical potentia! as a function of temperature for the gas phase, B for solid and e for the liqUid

Q.55 From the sarne diagram

(A) D repn:sents boiling pomt. E sublimation poim and F melting jXIin! (B) E represems boiling jXIint. D suhhmation point and F mehing point (0 E represems melting point. F sublimation point and D boiling point (D) 0 represents mehing point, F boiling poinl and E ,ublimalion point

'OHl

General Aptitude (GA) Questions

Q.56 - Q.60 carry one mark each.

Q.56 2j persons an: in a room. 15 of them play hockey. 17 of lhem play football and 10 of lhem play both hockey and football. Then lhe number of persons playing neither hockey nor foolball is;

(A) 2 (B) 17 (C) J3 (D) 3

Q,57 Choose the mos/ appropriale word from /h~ optio", given below 10 complete the following selllfnce: If we mana~e to _______ our natural resources, we would leave a better planet for our cblldren.

(A) uphold (8) restrain (C) cherish (0) conserve

Q.58 TM ques/ion below consis/s of a pair ofre/aleel word. followed by four pairs of words. Select the poir that bcM expresses the relalion in /he or,ginol poir. Unemployed: Worker

(A) fallow: land (B) unaware: sleeper (C) wit: jesler (0) renovated: house

Q.59 W/,kh of/he following opri01lS is the dosestln meaning to the word belolll: Cin:uilous

(A) cyclic (B) indirect (C) confusing (D) crooked

Q,60 Choose the most appropria!e word from the options given below 10 compleTe the following ,enlen<'c: His rather casulIl reJIlllrl<s on po6tics ______ bis IacI< of seriousness about the subject.

(A) masked (B) belied (C) betrayed (D) suppressed

Q.61 - Q.65 carry two marks each.

Q.6J Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brolhers and sister~). All were born on I" Ianuary. The age difference between any IWO SUCCeSSlVe siblings (thaI is oom one after another) is bs than 3 years. Given the following raet.:

L Hari 's age + Gita', age > Irf~n'.\ age + Saira's age, n. The age difference belw«n Gila "nd Saira is I year. However. Gita is nOI the

oldest and Saira is not the younge,t. n'- There are no twin"

In what order were they born (oldest firsl)"

(A) HSJG (8) SGHJ (C) IGSH (D) lHSG

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Q.62 5 ~killed workers can build a wall m 20 days, 8 semi·skilled workers can bUild a wall in 25 day,; II) Lm,killed workers Can build a wall in 10 days If a team has 2 ,killed, (, semi·skilled and 5 umkillcd workers, how long will illake lO huild the wall?

(AJ 20 days (B) 18 days (e) 16 day, (D) 15 day,

Q_63 Modern warfare has changed from large scale clashes of armies to snppre&Sion of dvilian populalions. Chemical agents that do their work silently appear to be soited to such warfare; and rellrdfully. there exist people in military estahlishments wbo think that chemical agents are u""fullools for their CIIIl5e.

WI,;ch ofthefollow;llg stolemellts best SlImJ up the meonillg of the above possage:

(A) Modem warfare has resulted in civil ,trifc. (B) Chemical agents are useful in modem ..... arfare. (e) D.e of chemical agents in warfare would be undesirable. (D) People in mihtary establishmenlS like 10 usc chemical agents," war_

Q.64 Given digils 2, 2, 3, 3, 3, 4, 4, 4, 4 how many distioct 4 digit numbers greater than 30()() can be formed?

(Al50 (E) 51 (e) 52 (0) 54

Q.65 If 137 + 276" 435 how much is 731 + 6n?

(A) 5:\4 (B) 1403 (e) 1623 (0) 151)

END OF THE QUESTION PAPER

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gate chemistry 2010

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