GATE Chemistry 2012
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2012 CHEMISTRY – CY
CY: CHEMISTRY
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully.
3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble
corresponding to your test paper code and the appropriate bubble under each digit of your registration
number and (ii) write your registration number, your name and name of the examination centre and
put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken
the bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. 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 unattempted, then
the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks.
For all 1 mark questions, ⅓ mark will be deducted for each wrong answer. For all 2 marks questions,
⅔ mark will be deducted for each wrong answer. However, in the case of the linked answer question
pair, there will be negative marks only for wrong answer to the first question and no negative marks
for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the
question paper for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ball point pen.
Name
Registration Number CY
CY 1/20
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2012 CHEMISTRY – CY
Some Useful Data
RT
1. At T = 298 K, 2.303 0.0591
F
2. Atomic Numbers
H 1
B 5
C 6
N 7
O 8
P 15
Ca 20
Cr 24
Mn 25
Fe 26
Co 27
Ni 28
Zn 30
Ru 44
3. Atomic weights (to the nearest integer)
H 1
C 12
N 14
O 16
Ca 40
CY 2/20
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2012 CHEMISTRY – CY
Q. 1 – Q. 25 carry one mark each
Q.1 In the proton decoupled 13C NMR spectrum of 7-norbornanone, the number of signals obtained is
(A) 7 (B) 3 (C) 4 (D) 5
Q.2 Identify the most probable product in the given reaction
(A) (B)
(C) (D)
Q.3 In the cyclization reaction given below, the most probable product formed is
(A) (B) (C) (D)
Q.4 If Δy and Δpy are the uncertainties in the y-coordinate and the y component of the momentum of a
h
particle respectively, then, according to uncertainty principle ΔyΔpy is ( and h is Planck’s
2
constant)
(A) (B) > 2 (C) > (D) 2
Q.5 The average length of a typical α-helix comprised of 10 amino acids is
(A) 10 Å (B) 15 Å (C) 36 Å (D) 54 Å
Q.6 Number of thymine residues in a 5000 kb DNA containing 23% guanine residues is
(A) 2.70 × 106 (B) 2.70 × 107 (C) 1.35 × 106 (D) 1.35 × 107
CY 3/20
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2012 CHEMISTRY – CY
Q.7 Shown below is a Hammett plot obtained for the reaction
Log k (Ar-COCl)
hydrolysis)
The change in slope of the plot indicates that
(A) the reaction does not follow linear free energy relationship
(B) electrons are being withdrawn from the transition state in the mechanism
(C) electrons are being donated to the transition state in the mechanism
(D) the mechanism of the reaction is changing
Q.8 The ratio of relative intensities of the two molecular ion peaks of methyl bromide (CH 3Br) in the
mass spectrum is
(A) M+ : (M+2)+ = 1:3
(B) M+ : (M+2)+ = 3:1
(C) M+ : (M+2)+ = 1:1
(D) M+ : (M+2)+ = 1:2
CY 4/20
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2012 CHEMISTRY – CY
Q.9 A disaccharide that will not give Benedict’s test and will not form osazone is
(A) maltose (B) lactose (C) cellobiose (D) sucrose
Q.10 Choose the allowed transition
(A) 1g+ 3u+ (B) 1g+ 3u¯ (C) 1g+ 1u+ (D) 1g+ 1u¯
Q.11 The angular part of the wavefunction for the electron in a hydrogen atom is proportional to
sin 2 cos e2i . The values of the azimuthal quantum number ( l ) and the magnetic quantum
number ( m ) are, respectively
(A) 2 and 2 (B) 2 and –2 (C) 3 and 2 (D) 3 and –2
Q.12 Let xC and zC denote the wavefunctions of the 2px and 2pz orbitals of carbon, respectively, and
xO and zO represent the wavefunctions of the 2px and 2pz orbitals of oxygen, respectively. If
c1 and c2 are constants used in linear combinations and the CO molecule is oriented along the
z axis, then, according to molecular orbital theory, the π-bonding molecular orbital has a
wavefunction given by
(A) c1 zC c2 xO (B) c1 zC c2 zO
(C) c1 xC c2 zO (D) c1 xC c2 xO
Q.13 The bond that gives the most intense band in the infrared spectrum for its stretching vibration is
(A) C─H (B) N─H (C) O─H (D) S─H
Q.14 If xA and xB are the respective mole fractions of A and B in an ideal solution of the two and TA, TB,
T are the fusion temperatures of pure A, pure B and the ideal solution respectively, then
H ofus ( B ) 1 1
(A) 1 xB exp
R T TB
H ofus ( A) 1 1
(B) 1 xB exp
R T TA
H ofus ( B ) 1 1
(C) 1 xB exp
R T TB
H ofus ( A) 1 1
(D) 1 xB exp
R T TA
Q.15 For a reaction involving two steps given below
assume that the first step attains equilibrium rapidly. The rate of formation of P is proportional to
(A) [G]1/2 (B) [G] (C) [G]2 (D) [G]3/2
CY 5/20
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2012 CHEMISTRY – CY
Q.16 A metal chelate that can be used for separation and quantitative analysis of aluminium ions by gas
chromatography is
(A) EDTA (B) ethylene glycol
(C) dinonyl phthalate (D) trifluoroacetylacetone
Q.17 The enthalpies of hydration of Ca2+, Mn2+ and Zn2+ follow the order
(A) Mn2+ > Ca2+ > Zn2+
(B) Zn2+ > Ca2+ > Mn2+
(C) Mn2+ > Zn2+ > Ca2+
(D) Zn2+ > Mn2+ > Ca2+
Q.18 The number of terminal carbonyl groups present in Fe2(CO)9 is
(A) 2 (B) 5 (C) 6 (D) 3
Q.19 Among the following substituted silanes, the one that gives cross-linked silicone polymer upon
hydrolysis is
(A) (CH3)4Si (B) CH3SiCl3 (C) (CH3)2SiCl2 (D) (CH3)3SiCl
Q.20 The plot of T versus T (where is molar magnetic susceptibility and T is the temperature) for a
paramagnetic complex which strictly follows Curie equation is
(A) (B)
(C) (D)
Q.21 Among the following donors, the one that forms most stable adduct with the Lewis acid B(CH3)3 is
(A) 4-methylpyridine
(B) 2,6-dimethylpyridine
(C) 4-nitropyridine
(D) 2,6-di-tert-butylpyridine
Q.22 The complex with inverse-spinel structure is
(A) Co3O4 (B) Fe3O4 (C) MgAlO4 (D) Mn3O4
CY 6/20
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2012 CHEMISTRY – CY
Q.23 The IUPAC nomenclature of Na[PCl6] is
(A) sodium hexachlorophosphine(V)
(B) sodium hexachlorophosphate(V)
(C) sodium hexachlorophosphine
(D) sodium hexachlorophosphite(V)
Q.24 An intermediate formed during the hydroformylation of olefins using Co2(CO)8 as catalyst is
(A) HCo(CO)6 (B) H4Co(CO)3 (C) H2Co(CO)4 (D) HCo(CO)4
Q.25 The order of polarity of NH3, NF3 and BF3 is
(A) NH3 < NF3 < BF3
(B) BF3 < NF3 < NH3
(C) BF3 < NH3 < NF3
(D) NF3 < BF3 < NH3
Q. 26 to Q. 55 carry two marks each.
Q.26 From a carboxymethyl-cellulose column at pH 6.0, arginine, valine and glutamic acid will elute in
the order
(A) arginine, valine, glutamic acid
(B) arginine, glutamic acid, valine
(C) glutamic acid, arginine, valine
(D) glutamic acid, valine, arginine
Q.27 Symmetry operations of the four C2 axes perpendicular to the principal axis belong to the same
class in the point group(s)
(A) D4 (B) D4d
(C) D4h (D) D4h and D4d
Q.28 At 298 K, the EMF of the cell
Pt│H2(1 bar)│H+(solution)║Cl─ │Hg2Cl2│Hg
is 0.7530 V. The standard potential of the calomel electrode is 0.2802 V. If the liquid junction
potential is zero, the pH of the solution is
(A) 4.7 (B) 7.4 (C) 8.0 (D) 12.7
CY 7/20
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2012 CHEMISTRY – CY
Q.29 The wavefunction of a 1-D harmonic oscillator between x and x is given by
( x) N (2 x2 1)e x 2 . The value of N that normalizes the function ( x) is
2
1 3 5 (2n 1)
x e dx )
2 n x2
(Given: n
2
1 1
1 2 1 2
(A) (B)
8 3
1 1
1 2 1 2
(C) (D)
2 4
Q.30 Consider the reaction
H2 + C2H4 C2H6
The molecular diameters of H2 and C2H4 are 1.8 Å and 3.6 Å respectively. The pre-exponential
factor in the rate constant calculated using collision theory in m3 (mole)1 s 1 is approximately
1
8k T 2
(For this reaction at 300 K, B N A 1.111027 m(mole)─1 s─1, where the symbols have
their usual meanings)
(A) 2.5 108 (B) 2.5 1014 (C) 9.4 1017 (D) 9.4 1023
Q.31 The molecular partition function of a system is given by
3 3
k T 2 8 mk BT 2
3
q(T ) B , where the symbols have their usual meanings.
hc h2
The heat capacity at constant volume for this system is
(A) 3R (B) 6R (C) 9R/2 (D) 3R/2
CY 8/20
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2012 CHEMISTRY – CY
Q.32 Consider the phase diagram given below.
Liquid
Temperature
Q
A AB2 B
Composition
At the intersection point Q the phases that are in equilibrium are
(A) solid A, solid B and solid AB2
(B) solid A, solid AB2 and liquid
(C) solid B, solid AB2 and liquid
(D) solid A, solid B, solid AB2 and liquid
Q.33 Identify the product from the following reaction
(9-BBN = 9-Borabicyclo[3•3•1]nonane)
(A) (B) (C) (D)
CY 9/20
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2012 CHEMISTRY – CY
Q.34 The product from the following reaction is
(A) (B)
(C) (D)
Q.35 The acid catalyzed cyclization of 5-ketodecan-1,9-diol is given below
The most predominant spiroketal is
(A) (B) (C) (D)
Q.36 For a face centered cubic lattice, the Miller indices for the first Bragg’s peak (smallest Bragg angle)
are
(A) 0 0 2 (B) 1 1 1 (C) 0 0 1 (D) 1 1 0
Q.37 For the titration of a 10 mL (aq) solution of CaCO3, 2 mL of 0.001 M Na2EDTA is required to
reach the end point. The concentration of CaCO3 (assume molecular weight of CaCO3 = 100) is
(A) 5 10–4 g/mL (B) 2 10–4 g/mL
(C) 5 10–5 g/mL (D) 2 10–5 g/mL
CY 10/20
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2012 CHEMISTRY – CY
Q.38 In the reaction
the product formed is
(A) (B) (C) (D)
Q.39 In the reaction given below, identify the product
(A) (B)
(C) (D)
Q.40 Consider the following pairs of complexes
[CoF(NH3)5]2+ and [Cr(OH2)6]2+
[Co(NH3)5 (OH2)]3+ and [Cr(OH2)6]2+
[Co(NH3)6]3+ and [Cr(OH2)6]2+
[CoI(NH3)5]2+ and [Cr(OH2)6]2+
The electron transfer rate will be fastest in the pair
(A) [CoF(NH3)5]2+ and [Cr(OH2)6]2+ (B) [Co(NH3)5 (OH2)]3+ and [Cr(OH2)6]2+
(C) [Co(NH3)6]3+ and [Cr(OH2)6]2+ (D) [CoI(NH3)5]2+ and [Cr(OH2)6]2+
CY 11/20
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2012 CHEMISTRY – CY
Q.41 The extent of Mössbauer quadrupole splitting of iron follows the order
(A) FeCl2•4H2O > K2[Fe(CN)5(NO)] > FeCl3•6H2O
(B) K2[Fe(CN)5(NO)] > FeCl2•4H2O > FeCl3•6H2O
(C) FeCl3•6H2O > K2[Fe(CN)5(NO)] > FeCl2•4H2O
(D) FeCl2•4H2O > FeCl3•6H2O > K2[Fe(CN)5(NO)]
Q.42 Hemoglobin is an oxygen carrying protein. The correct statement about oxy-hemoglobin is that
(A) the metal is low-spin in +3 oxidation state while dioxygen is in O2─ form
(B) the metal is high-spin in +3 oxidation state while dioxygen is in O2─ form
(C) the metal is low-spin in +3 oxidation state while dioxygen is in neutral form
(D) the metal is high-spin in +3 oxidation state while dioxygen is in neutral form
Q.43 If a mixture of NaCl, conc. H2SO4 and K2Cr2O7 is heated in a dry test tube, a red vapour (P) is
formed. This vapour (P) dissolves in aqueous NaOH to form a yellow solution, which upon
treatment with AgNO3 forms a red solid (Q). P and Q are, respectively
(A) CrO2Cl2 and Ag2Cr2O7
(B) Na2[CrOCl5] and Ag2CrO4
(C) Na2[CrOCl5] and Ag2Cr2O7
(D) CrO2Cl2 and Ag2CrO4
Q.44 For the following reaction
2MnO4─ + 5H2C2O4 + 6H+ 2Mn2+ + 8H2O + 10CO2
E(MnO4─/Mn2+) = +1.51 V and E(CO2/H2C2O4) = ─ 0.49 V.
At 298 K, the equilibrium constant is
(A) 10500 (B) 10338 (C) 1038 (D) 10833
Q.45 The ground states of high-spin octahedral and tetrahedral Co(II) complexes are, respectively
(A) 4T2g and 4A2 (B) 4T1g and 4A2
(C) 3T1g and 4A2 (D) 4T1g and 3T1
Q.46 The INCORRECT statement about Zeise’s salt is
(A) Zeise’s salt is diamagnetic
(B) The oxidation state of Pt in Zeise’s salt is +2
(C) All the Pt─Cl bond lengths in Zeise’s salt are equal
(D) C─C bond length of ethylene moiety in Zeise’s salt is longer than that of free ethylene
molecule
Q.47 The number of possible isomers for the square planar mononuclear complex [(NH3)2M(CN)2] of a
metal M is
(A) 2 (B) 4 (C) 6 (D) 3
CY 12/20
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2012 CHEMISTRY – CY
Common Data Questions
Common Data for Questions 48 and 49: Consider the reaction sequence shown below:
TsCl = p-toluenesulfonyl chloride
Q.48 The oxidant X used in step 1 is
(A) CrO3 (B) OsO4
(C) NaIO4 (D) m-CPBA followed by NaOH
Q.49 The product is
(A) (B) (C) (D)
CY 13/20
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2012 CHEMISTRY – CY
Common Data for Questions 50 and 51: Consider the E1 reaction of tert-amyl halides from the energy
profile given below.
Energy S1
S2
S3
P1
P2
Reaction coordinate
Q.50 In the above reaction, X = Cl, Br or I. Based on the graph, identify the alkyl halides (R-X) as S1,
S2 and S3
(A) S1 = R-Cl, S2 = R-Br and S3 = R-I (B) S1 = R-I, S2 = R-Br and S3 = R-Cl
(C) S1 = R-Cl, S2 = R-I and S3 = R-Br (D) S1 = R-I, S2 = R-Cl and S3 = R-Br
Q.51 Identify product P1 and its yield relative to P2
(A) P1 is M and is the major product (B) P1 is N and is the minor product
(C) P1 is N and is the major product (D) P1 is M and is the minor product
CY 14/20
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2012 CHEMISTRY – CY
Linked Answer Questions
Statement for Linked Answer Questions 52 and 53: A 20491 cm─1 laser line was used to excite oxygen
molecules (made of 16O only) to obtain the rotational Raman spectrum. The resulting rotational Raman
spectrum of oxygen molecule has the first Stokes line at 20479 cm─1.
Q.52 The rotational constant (usually denoted as B) for the oxygen molecule is
(A) 1.2 cm─1 (B) 2.0 cm─1 (C) 3.0 cm─1 (D) 6.0 cm─1
Q.53 The next rotational Stokes line is expected at
(A) 20467 cm─1 (B) 20469 cm─1 (C) 20471 cm─1 (D) 20475 cm─1
Statement for Linked Answer Questions 54 and 55: Hückel molecular orbital theory can be applied to
the allene radical
CH2═CH─ĊH2
Q.54 The secular determinant (where , and E have their usual meanings) is given by
(A) (B)
E 0 E 0 0
E 0 E
0 E 0 E
(C) (D)
E 0 E 0
E 0 E
0 0 E 0 E
Q.55 The possible values of E are
(A) 2 , , 2 (B) 2 2 , , 2 2
(C) , , (D) 2 , , 2
CY 15/20
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2012 CHEMISTRY – CY
General Aptitude (GA) Questions (Compulsory)
Q. 56 – Q. 60 carry one mark each.
Q.56 If (1.001)1259 = 3.52 and (1.001)2062 = 7.85, then (1.001)3321 =
(A) 2.23 (B) 4.33 (C) 11.37 (D) 27.64
Q.57 One of the parts (A, B, C, D) in the sentence given below contains an ERROR. Which one of the
following is INCORRECT?
I requested that he should be given the driving test today instead of tomorrow.
(A) requested that
(B) should be given
(C) the driving test
(D) instead of tomorrow
Q.58 Which one of the following options is the closest in meaning to the word given below?
Latitude
(A) Eligibility (B) Freedom (C) Coercion (D) Meticulousness
Q.59 Choose the most appropriate word from the options given below to complete the following
sentence:
Given the seriousness of the situation that he had to face, his ___ was impressive.
(A) beggary (B) nomenclature (C) jealousy (D) nonchalance
Q.60 Choose the most appropriate alternative from the options given below to complete the following
sentence:
If the tired soldier wanted to lie down, he ___ the mattress out on the balcony.
(A) should take
(B) shall take
(C) should have taken
(D) will have taken
Q. 61 - Q. 65 carry two marks each.
Q.61 One of the legacies of the Roman legions was discipline. In the legions, military law prevailed
and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting,
even when the odds and conditions were against them.
Which one of the following statements best sums up the meaning of the above passage?
(A) Thorough regimentation was the main reason for the efficiency of the Roman legions even in
adverse circumstances.
(B) The legions were treated inhumanly as if the men were animals.
(C) Discipline was the armies’ inheritance from their seniors.
(D) The harsh discipline to which the legions were subjected to led to the odds and conditions being
against them.
CY 16/20
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2012 CHEMISTRY – CY
Q.62 A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a
condition that whoever arrives first will not wait for the other for more than 15 minutes. The
probability that they will meet on that day is
(A) 1/4 (B) 1/16 (C) 7/16 (D) 9/16
Q.63 The data given in the following table summarizes the monthly budget of an average household.
Category Amount (Rs.)
Food 4000
Clothing 1200
Rent 2000
Savings 1500
Other expenses 1800
The approximate percentage of the monthly budget NOT spent on savings is
(A) 10% (B) 14% (C) 81% (D) 86%
Q.64 There are eight bags of rice looking alike, seven of which have equal weight and one is slightly
heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number
of weighings required to identify the heavier bag is
(A) 2 (B) 3 (C) 4 (D) 8
Q.65 Raju has 14 currency notes in his pocket consisting of only Rs. 20 notes and Rs. 10 notes. The total
money value of the notes is Rs. 230. The number of Rs. 10 notes that Raju has is
(A) 5 (B) 6 (C) 9 (D) 10
END OF THE QUESTION PAPER
CY 17/20
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GATE 2012 ‐ Answer Key ‐ Paper : CY Paper Question no. Key Paper Question no. Key CY 1 B CY 41 A CY 2 C CY 42 A CY 3 C CY 43 D CY 4 D CY 44 B CY 5 B CY 45 B CY 6 C CY 46 C CY 7 D CY 47 Marks to All CY 8 C CY 48 B CY 9 D CY 49 D CY 10 C CY 50 B CY 11 C CY 51 D CY 12 D CY 52 A CY 13 C CY 53 B CY 14 D CY 54 A CY 15 D CY 55 A CY 16 D CY 56 D CY 17 D CY 57 B CY 18 C CY 58 B CY 19 B CY 59 D CY 20 C CY 60 A CY 21 A CY 61 A CY 22 B CY 62 C CY 23 B CY 63 D CY 24 D CY 64 A CY 25 B CY 65 A CY 26 D CY 27 B CY 28 C CY 29 C CY 30 A CY 31 A CY 32 C CY 33 A CY 34 Marks to All CY 35 A CY 36 B CY 37 D CY 38 A CY 39 Marks to All CY 40 D
Official key not published for this paper.
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Source: GATE. Question paper published by GATE.