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Jam 2007

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AJ Chem Academy–Trichy

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JAM – Chemistry - 2007

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JAM – 2007 – CY

Attempt ALL the questions. Q.1 – Q.30 Multiple Choice Question


(MCQ), carry THREE marks each (for each wrong answer: –1).
1. In the extraction of metals from their ores, which one of the following reduction
methods can bring about a non-spontaneous reduction?
(a) electrolytic reduction (b) reduction by carbon
(c) reduction by another metal (d) reduction by hydrogen
2. The solid-liquid phase diagram for the Mg-Zn system is shown in the figure
below where the vertical line at 𝐗(𝐌𝐠) = 𝟎. 𝟑𝟑 represents the formation of a
congruent melting compound 𝐌𝐠𝐙𝐧𝟐 . The figure is divided into seven regions
depending upon the physical state of the system. The composition of the region
#𝟔 represents

(a) single phase of a solution of Mg and Zn


(b) two phase region between the solid Zn and solid MgZn2
(c) two phase region between the liquid and solid MgZn2
(d) two phase region between solid Mg and solid MgZn2
3. Which one of the following species is the conjugate base of 𝐎𝐇 − ?
(a) H2 O (b) O2− (c) O−
2 (d) O2−
2

4. The plot of Gibb’s free energy G and the extent of a reaction 𝛏 is given below for
the reaction 𝐀 ⇌ 𝐁. If 𝛍𝐀 and 𝛍𝐁 are the chemical potentials of A and B
respectively, the INCORRECT statement is

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(a) at point X, μA > μB


(b) at point Y, ΔG = 0
(c) at point Z, μA > μB
(d) at equilibrium, the composition of the reaction mixture can be identified
5. For a cyclic process performed by an ideal gas, changes in some thermodynamic
functions are zero. Indicate the set in which all the functions are zero.
(a) w, ΔE, ΔH, ΔG (b) q, ΔS, ΔH, ΔA (c) q, ΔE, ΔS, ΔG (d) ΔE, ΔS, ΔH, ΔA
6. For a reaction with rate equation −𝐝𝐂⁄𝐝𝐭 = 𝐤𝐂 𝟐 , 𝐂𝟎 and C are the
concentrations of the reactant at time 0 and t respectively. If 10 minutes were
required for 𝐂𝟎 to become 𝐂𝟎 ⁄𝟐, the time required for 𝐂𝟎 to become 𝐂𝟎 ⁄𝟒 is
(a) 10 min (b) 20 min (c) 30 min (d) 40 min
7. Which one of the following compounds is optically active?
(a) (b) (c) (d)

8. Which one of the following compounds gives positive test for both nitrogen and
halogen with its Lassaigne’s extract?
(a) CH3 NH2 . HCl (b) NH2 OH. HCl (c) NH4 Cl (d) H2 NNH2 . HCl
9. The correct order of dipole moments (𝛍) of the following compounds is
𝐂𝐇𝟑 𝐂𝐇𝟐 𝐂𝐇𝟐 𝐂𝐇𝐎 𝐂𝐇𝟑 𝐂H=C𝐇𝐂𝐇𝐎 𝐂𝐇𝟑 𝐂𝐇𝟐 𝐂H=C 𝐇𝟐
P Q R

(a) μP > μQ > μR (b) μQ > μR > μP

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(c) μR > μP > μQ (d) μQ > μP > μR


10. An aqueous solution containing 𝟎. 𝟎𝟏 𝐌 𝐅𝐞𝐂𝐥𝟑 and 𝟎. 𝟎𝟔 𝐌 𝐇𝐂𝐥𝐎𝟒 has the same
ionic strength as a solution of
(a) 0.09 M NaCl (b) 0.04 M Na2 SO4 (c) 0.06 M CuSO4 (d) 0.03 M H3 PO4
11. Which one of the following figures, showing kinetic energy of the ejected
electron versus the frequency (𝛎) of the incident photon, represents the
Einstein’s photoelectric effect?
(a) (b)

(c) (d)

12. The standard potential of a Daniel cell is +𝟏. 𝟏𝟎 𝐕 and the equilibrium constant
for the cell reaction is 𝟏. 𝟓 × 𝟏𝟎𝟑𝟕 . It can be concluded that
(a) zinc oxidises copper
(b) displacement of copper by zinc goes to near completion
(c) copper oxidises zinc
(d) displacement of zinc by copper goes to completion
13. The main product obtained in the following reaction is

(a) (b)

(c) (d)

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14. Which one of the following compounds reacts with nitrous acid to give the
product [P]?

(a) (b)

(c) (d)

15. The given compounds I and II are

I II
(a) identical (b) diastereomeric (c) enantiomeric (d) constitutionally isomeric
16. The compound, which
(i) reacts rapidly with acetyl chloride,
(ii) does not react with 𝟐, 𝟒-dinitrophenylhydrazine and
(iii) does not form a yellow precipitate with excess of iodine in aqueous alkali is
(a) acetone (b) diethyl ether (c) 2-methyl-2-propanol (d) ethanol
17. During Wittig reaction, a phosphorus ylide gets converted to
(a) R 3 P (b) R 3 P=O (c) R 3 P + HOH − (d) R 2 P−PR 2
18. Which one of the following species is NOT isoelectronic with CO?
(a) N2 (b) CN− (c) NO+ (d) O+
2

19. The ligand with only sigma (𝛔) bonding character is


(a) CN− (b) CH3− (c) CO (d) NO
20. The correct valence shell electronic configuration of the element with atomic
number 𝟐𝟐 is
(a) [Ar]4s2 3d2 (b) [Ar]3d4 (c) [Ar]3d2 4s2 (d) [Ar]4s 2 4p2
21. The correct order of the ionic radii is
(a) In3+ > Sn4+ > Sr 2+ > Rb+
(b) Sn4+ > In3+ > Sr 2+ > Rb+

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(c) Rb+ > In3+ > Sr 2+ > Sn4+


(d) Rb+ > Sr 2+ > In3+ > Sn4+
22. The normalization constant ‘A’ for the wavefunction 𝚿(𝛟) = 𝐀𝐞(𝐢𝐦𝛟) where
𝟎 ≤ 𝛟 ≤ 𝟐𝛑 is
1 1
(a) (b) √2π (c) 2π (d)
√2π √2

23. The pH of a 𝟏. 𝟎 × 𝟏𝟎−𝟑 M solution of a weak acid HA is 𝟒. 𝟎. The acid


dissociation constant 𝐊 𝐚 is
(a) 1.0 × 10−3 (b) 1.0 × 10−4 (c) 1.0 × 10−5 (d) 2.0 × 10−5
24. The overlap between the atomic orbitals sketched below is

(a) positive (b) negative (c) zero (d) no overlap


25. The value of ‘n’ for the following molecule according to Hückel’s rule is

(a) 16 (b) 4 (c) 3 (d) 14


26. The shape of 𝐂𝐇𝟑− ion is
(a) trigonal planar (b) tetrahedral (c) trigonal pyramidal (d) linear
27. The complementary strand of DNA for the following single stranded DNA
sequence, 5'-A-T-C-A-T-G-C-3' is
(a) 5'-A-T-C-A-T-G-C-3' (b) 5'-T-A-G-T-A-C-G-3'
(c) 5'-G-C-A-T-G-A-T-3' (d) 5'-C-G-T-A-C-T-A-3'
28. The ionic radii of 𝐂𝐚𝟐+ and 𝐅 − are 𝟏𝟎𝟎 𝐩𝐦 and 𝟏𝟑𝟑 𝐩𝐦 respectively. The
coordination number of 𝐂𝐚𝟐+ in the ionic solid will be
(a) 8 (b) 6 (c) 4 (d) 2
29. The compounds that react with aqueous 𝐍𝐚𝐇𝐂𝐎𝟑 to release 𝐂𝐎𝟐 are

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JAM – 2007 – CY

(I) (II) (III) (IV)


(a) I and III (b) II and IV (c) II and III (d) I and IV
30. Which of the following reactions does NOT give 𝐇𝟑 𝐏𝐎𝟒 ?
(a) Ca3 (PO4 )2 + H2 SO4 ⟶ (b) P4 O6 + H2 O ⟶
(c) PCl5 + H2 O ⟶ (d) P4 S10 + H2 O ⟶
Attempt ALL the questions. Questions 31 – 44 (subjective
questions) carry fifteen marks each.
31.

Identify the structures of the intermediate compounds Q, R and S. Show the


transformation for each step.
32. (a) For the following scheme of transformations, draw the structures of A, B, C
and D.

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JAM – 2007 – CY

(b) Complete hydrolysis of a pentapeptide with 𝟔 N HCl at 𝟏𝟏𝟎 ℃ in a sealed


tube gave 𝟐 equivalents of glycine, one equivalent each of tyrosine, leucine
and phenylalanine. Reaction of the pentapeptide with Sanger’s reagent (𝟐, 𝟒-
dinitrofluorobenzene, DNFB) and subsequent hydrolysis gave the DNFB
derivative of tyrosine. Chymotrypsin cleavage of this peptide yielded tyrosine,
leucine and a tripeptide. Deduce the sequence of the pentapeptide.
33. Complete the following reactions with appropriate structures for E, F, G, H & I.
(a)

(b)

34. (a) Account for the following transformation with an appropriate mechanism.
Give the structure of the Hofmann exhaustive methylation product of 𝟏, 𝟐-
dihydro derivative of [X].

(b) The optically pure ester [J] is hydrolysed in aqueous acetic acid to form a
racemic mixture of cis-𝟒, 𝟒-dimethyl-𝟐-acetoxycyclopentanol [K]. Give a
mechanistic explanation to account for the formation of [K] and the observed
change in the optical activity.

35. (a) M is a first row transition metal. 𝐌𝐂𝐥𝟐 on treatment with aqueous ammonia
gives a blue colored solution of complex N. A solution of 𝐌𝐂𝐥𝟐 also gives a
bright red precipitate of complex O with ethanolic dimethylglyoxime.

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(i) Identify M and draw the structure of O.


(ii) Determine the hybridization of M in complex N.
(iii) Identify the paramagnetic complex.
(b) [𝐂𝐫(𝐇𝟐 𝐎)𝟔 ]𝟑+ gave an absorption at 𝟐𝟎𝟖 𝐊𝐉/𝐦𝐨𝐥 which corresponds to 𝚫𝟎 .
Calculate the crystal field stabilisation energy of this complex in 𝐊𝐉/𝐦𝐨𝐥.
36. (a) Consider the ethers 𝐒𝐢𝐇𝟑 𝐎𝐒𝐢𝐇𝟑 and 𝐂𝐇𝟑 𝐎𝐂𝐇𝟑 .
(i) Which ether has more Lewis base character?
(ii) Which angle [Si-O-Si and C-O-C] is greater? Justify your answer.
(b) Starting from 𝐒𝐢𝐎𝟐 , show how the following polymer is prepared
industrially?

37. (a) A solution of metal ion (𝐌𝟐+ ) when treated with 𝐇𝟐 𝐒 gas gives a black
precipitate-A. Precipitate-A dissolve in hot concentrated nitric acid to give B
along with the elemental sulfur. The metal ion solution also gives a white
precipitate C with an excess of KI. Write the chemical formulae of A, B & C.
(b) Why are potassium permanganate solutions unstable in the presence of 𝐌𝐧𝟐+
ions? In the quantitative estimation of iron present in iron ores dissolved in
dilute HCl, titrations with dichromate are preferred over titrations with
permanganate. Rationalise.
38. (a) 𝐀𝐥𝟐 𝐂𝐥𝟔 and 𝐀𝐥𝟐 𝐌𝐞𝟔 are dimeric in gas phase. Draw their structures. Which
compound has more Lewis acid character? Explain.
(b) Arrange the halides 𝐒𝐧𝐂𝐥𝟐 , 𝐏𝐛𝐂𝐥𝟐 , 𝐒𝐢𝐂𝐥𝟐 in increasing order of their stability.
Give reasons for your answer.
39. (a) Acidification of an aqueous solution of yellow sodium chromate gives an
orange-colored compound-A. A saturated solution of A on treatment with
concentrated 𝐇𝟐 𝐒𝐎𝟒 gives a bright orange solid B. Compound A in the
presence of concentrated 𝐇𝟐 𝐒𝐎𝟒 reacts with anion C to give a deep red
colored liquid. Identify A, B and C.
𝟐𝟏𝟓
(b) 𝟖𝟒𝐏𝐨 undergoes an α emission to give element X followed by a β emission to
give element Y.
(i) Write the valence shell electronic configuration of Y.

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(ii) Indicate the groups of the periodic table to which X and Y belong.
40. (a) When an ideal monoatomic gas is expanded from 𝟏. 𝟓 bar, 𝟐𝟒. 𝟖 L and 𝟐𝟗𝟖 𝐊
into an evacuated container, the final volume becomes 𝟒𝟗. 𝟔 𝐋. Calculate 𝚫𝐇,
𝚫𝐒 𝐚𝐧𝐝 𝚫𝐆 for the process.
(b) The Maxwell distribution function for the distribution of speeds of molecules
in gaseous systems is given as,
𝟑⁄
𝟐 𝟐 𝟐
𝐟(𝐜) = 𝟒𝛑 (𝐦⁄𝟐𝛑𝐤𝐓) 𝐜 𝐞𝐱𝐩 (−𝐦𝐜 ⁄𝟐𝐤𝐓)
𝟏⁄
Show that the most probable speed, 𝐜𝐦𝐩𝐬 = (𝟐𝐤𝐓⁄𝐦) 𝟐

41. (a) At 𝟔𝟎𝟎 𝐊 and 𝟐𝟎𝟎 bar, a 𝟏: 𝟑 (molar ratio) mixture of 𝐀 𝟐 and 𝐁𝟐 react to
form an equilibrium mixture containing 𝐱 𝐀𝐁𝟑 = 𝟎. 𝟔𝟎. Assuming ideal gas
behaviour, calculate 𝐊 𝐩 for the reaction
𝐀 𝟐 (𝐠) + 𝟑𝐁𝟐 (𝐠) ⇌ 𝟐𝐀𝐁𝟑 (𝐠)
(b) A 𝟓𝟎 ml 𝟎. 𝟎𝟓 𝐌 solution of Fe(II) is titrated with 𝟎. 𝟎𝟓 𝐌 solution of Ce(IV)
in the presence of dilute 𝐇𝟐 𝐒𝐎𝟒 at 𝟐𝟓 ℃. Calculate the equivalence point
potential and the equilibrium constant K in terms of log K.
[𝐄𝟎 (𝐅𝐞𝟑+ ⁄𝐅𝐞𝟐+ ) = +𝟎. 𝟕𝟓 𝐕, 𝐄𝟎 (𝐂𝐞𝟒+ ⁄𝐂𝐞𝟑+ ) = +𝟏. 𝟒𝟓 𝐕]

42. (a) The vapour pressure of 𝐃𝟐 O at 𝟐𝟎 ℃ is 𝟕𝟒𝟓 𝐦𝐦 𝐇𝐠. When 𝟏𝟓 𝐠 of a non-


volatile compound is dissolved in 𝟐𝟎𝟎 g of 𝐃𝟐 𝐎, the pressure changes to 𝟕𝟑𝟎
mm Hg. Assuming the applicability of Raoult’s law, calculate the molecular
weight of the compound.
(b) An enzyme following Michaelis-Menten kinetics was found to have highest
activity at 𝟑𝟕 ℃ and pH 𝟕. 𝟎. If the maximum velocity 𝐯𝐦𝐚𝐱 for this enzyme
was 𝟐. 𝟒 × 𝟏𝟎−𝟒 mol 𝐋−𝟏 𝐬−𝟏 with an initial enzyme concentration [𝐄]𝟎 = 𝟐. 𝟒
nM, calculate the turnover frequency.
43. (a) Consider the 𝟒𝛑 electrons in cyclobutadiene to be free particles in a 𝟐-D
square box of length 𝟐Å. Calculate the wavelength of the electronic
transition from the highest occupied molecular orbital (HOMO) to the
lowest unoccupied molecular orbital (LUMO). Also write down the
normalised wavefunctions for the occupied degenerate states.
(b) The reaction

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is first order in both directions. At 𝟐𝟓 ℃, the equilibrium constant (K) of this


reaction is 𝟎. 𝟒𝟎. If 𝟎. 𝟏𝟏𝟓 mol.𝐝𝐦−𝟑 of cis-isomer is allowed to equilibrate,
calculate the equilibrium concentration of each isomer.
44. (a) With i, j and k as the unit vectors along X, Y and Z axes, express the vector
⃗⃗⃗⃗⃗⃗⃗⃗⃗
𝐏𝟏 𝐏𝟐 in the given figure in terms of the coordinates of 𝐏𝟏 and 𝐏𝟐 . Also
determine the dot products of the unit vectors i, j, k.

(b) Deduce whether the matrices A and B commute or not.


𝟐 𝟏 𝟏 𝟏
𝐀=[ ] 𝐁=[ ]
𝟎 𝟏 𝟎 𝟏
Answer Key
Q.No Ans Q.No Ans Q.No Ans Q.No Ans
1. b 9. d 17. b 25. c
2. d 10. b 18. d 26. c
3. b 11. a 19. b 27. c
4. c 12. b 20. c 28. a
5. d 13. a 21. d 29. b
6. c 14. a 22. a 30. b
7. d 15. d 23. c
8. a 16. c 24. a

© No Part of this Question Paper shall be reproduced, reprinted or Translated


for any purpose whatsoever without prior permission of AJ Chem Academy.
© Inspite of best efforts taken to present this Work without mistakes, some
mistakes may have inadvertently crept in. So we do not take any legal
responsibility for them. If they are brought to our notice, corrections will be
done in next edition.

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JAM – 2007 – CY

© இந்த வினாத்தாளின் எந்தப் பகுதியும் ஏஜே கெம் அொடமியின் முன் அனுமதியின்றி எந்த
ஜ ாக்ெத்திற்ொெவும் மீண்டும் உருவாக்ெப்படஜவா, மறுபதிப்பு கெய்யஜவா அல்லது
கமாழிகபயர்க்ெஜவா கூடாது.
© இந்த படடப்டப பிடையின்றி வைங்குவதற்கு சிறந்த முயற்சிெள் எடுக்ெப்பட்டாலும், சில
தவறுெள் ெவனக்குடறவாெ ஊடுருவியிருக்ெலாம். எனஜவ அவற்றிற்கு ாங்ெள் எந்த ெட்டப்
கபாறுப்டபயும் ஏற்ெவில்டல. அவற்டற எங்ெள் ெவனத்திற்கு கொண்டு வந்தால், அடுத்த பதிப்பில்
திருத்தங்ெள் கெய்யப்படும்.

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