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IIT JAM 2012 : Chemistry

42 pages, 58 questions, 18 questions with responses, 19 total responses,

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A A 2012 CY 2012 CY Test Paper Code: CY Time: 3 Hours Maximum Marks: 300 INSTRUCTIONS 1. This question-cum-answer booklet has 40 pages and has 44 questions. Please ensure that the copy of the question-cum-answer booklet you have received contains all the questions. 2. Write your Registration Number, Name and the name of the Test Centre in the appropriate space provided on the right side. 3. Write the answers to the objective questions against each Question No. in the Answer Table for Objective Questions, provided on Page No. 7. Do not write anything else on this page. 4. Each objective question has 4 choices for its answer: (A), (B), (C) and (D). Only ONE of them is the correct answer. There will be negative marking for wrong answers to objective questions. The following marking scheme for objective questions shall be used: (a) For each correct answer, you will be awarded 3 (Three) marks. (b) For each wrong answer, you will be awarded -1 (Negative one) mark. (c) Multiple answers to a question will be treated as a wrong answer. (d) For each un-attempted question, you will be awarded 0 (Zero) mark. (e) Negative marks for objective part will be carried over to total marks. 5. Answer the subjective question only in the space provided after each question. 6. Do not write more than one answer for the same question. In case you attempt a subjective question more than once, please cancel the answer(s) you consider wrong. Otherwise, the answer appearing last only will be evaluated. 7. All answers must be written in blue/black/blueblack ink only. Sketch pen, pencil or ink of any other colour should not be used. 8. All rough work should be done in the space provided and scored out finally. 9. No supplementary sheets will be provided to the candidates. 10. Clip board, log tables, slide rule, calculator, cellular phone and electronic gadgets in any form are NOT allowed. 11. The question-cum-answer booklet must be returned in its entirety to the Invigilator before leaving the examination hall. Do not remove any page from this booklet. CY- i / 40 READ INSTRUCTIONS ON THE LEFT SIDE OF THIS PAGE CAREFULLY REGISTRATION NUMBER Name: Test Centre: Do not write your Registration Number or Name anywhere else in this question-cum-answer booklet. I have read all the instructions and shall abide by them. ... Signature of the Candidate I have verified the information filled by the Candidate above. ... Signature of the Invigilator A CY- ii / 40 A Q.1 IMPORTANT NOTE FOR CANDIDATES Questions 1-30 (objective questions) carry three marks each and questions 31-44 (subjective questions) carry fifteen marks each. Write the answers to the objective questions in the Answer Table for Objective Questions provided on page 7 only. Molecular shape of SOCl2 is (A) square planar (C) triangular planar Q.2 Number of three-centre two-electron (3c 2e) bonds present in diborane is (A) 2 Q.3 (B) 4 (C) 6 (B) 2000 (C) 2000 (B) AuNO3 (D) H[Au(NO3)4] Number of moles of ions produced by complete dissociation of one mole of Mohr s salt in water is (A) 3 Q.6 (B) 4 (C) 5 (B) paramagnetic and paramagnetic (D) paramagnetic and diamagnetic The total number of steps involved and number of beta particles emitted in the spontaneous 208 decay of 238 92 U 82 Pb respectively, are (A) 8 and 6 Q.8 (D) 6 The tetrachloro complexes of Ni(II) and Pd(II) respectively, are (atomic numbers of Ni and Pd are 28 and 46 respectively) (A) diamagnetic and diamagnetic (C) diamagnetic and paramagnetic Q.7 (D) 4000 The compound formed by dissolving elemental gold in aqua regia is (A) AuCl (C) H[AuCl4] Q.5 (D) 8 The lattice energy of LiF calculated from Born-Land equation is 1000 kJ mol 1. Assume that for both LiF and MgO the Madelung constants, interionic distances and Born exponents have the same value. The lattice energy of MgO in kJ mol 1 is (A) 4000 Q.4 (B) trigonal pyramidal (D) T-shaped (B) 14 and 6 (C) 6 and 8 (D) 14 and 8 A filter paper moistened with ammoniacal sodium nitroprusside solution turns violet on contact with a drop of alkaline Na2S solution. The violet color is due to the formation of (A) [Fe(SCN)5(NO)]1 (C) [Fe(CN)5(NOS)]3 (B) [Fe(SCN)5(NO)]2 (D) [Fe(CN)5(NOS)]4 CY- 1 / 40 A Q.9 The species/compounds that are aromatic among the following are H O P Q (A) R and S Q.10 S R (B) P and Q (C) Q and S (D) P and S The major product obtained in the reaction below is HCl CH2 (A) (B) (C) Cl (D) Cl Cl Cl Q.11 The rates of acetolysis for the following norbornyl derivatives are in the order TsO H Q P (A) Q.12 R>Q>P R (B) Q > R > P (C) P > R > Q (D) R > P > Q The Haworth projection for -anomer of D-glucose is (A) (B) (C) (D) CH2OH CH2OH CH2OH O OH O O OH OH HO OH HO OH O OH The complementary DNA sequence of the given DNA 5 -G-A-A-T-T-C-3 is (B) 5 -C-U-U-A-A-G-3 (D) 3 -G-A-A-T-T-C-5 CY- 2 / 40 OH HO OH (A) 5 -C-T-T-A-A-G-3 (C) 3 -C-T-T-A-A-G-5 CH2OH HO OH HO HO Q.13 OTs H OTs H OH A Q.14 The order of nucleophilicity of the following anions in a SN2 reaction is O O NO2 S O NO2 P R Q (A) Q > R > S > P Q.15 NO2 S (B) Q > P > R > S (C) Q > R > P > S The pair of conformation that has maximum energy difference is (A) (B) and and (C) (D) and Q.16 (D) P > S > R > Q and The major mono-sulfonation product of -tetralone is (B) (A) O O HO3S SO3H (C) (D) O HO3S O HO3S Q.17 Electrophilic nitrations of the following compounds follow the trend Cl NHCOCH3 C2H5 P (A) SO3H Q R S S>R>P>Q (B) R > S > P > Q CY- 3 / 40 (C) R > P > S > Q (D) P > S > R > Q A Q.18 The compounds those would not respond to tests of both nitrogen and sulfur with sodium fusion extracts are S H2N . NH3 HSO4 H 2N I (A) Q.19 H2N NH2 NH3 HCO3 II I and III (B) H 2N III III and IV (C) S IV I and IV (D) II and IV The correct epimeric pair of the following is HO HO H H CHO H H OH OH CH2OH HO H H H CHO H OH OH OH CH2OH HO H HO H (A) P and Q COOH H OH H OH CH2OH H H H HO R Q P Q.20 O . (B) R and Q CHO OH OH OH H CH2OH S (C) Q and S (D) R and S -Farnesene shown below is a (A) diterpene having two isoprene units (B) triterpene having three isoprene units (C) triterpene having four isoprene units (D) sesquiterpene having three isoprene units Q.21 For the equilibrium N 2 + 3H 2 U 2 NH 3 , the equilibrium constant, K p is expressed as (A) 33 K p = (C) 33 K p = pNH3 (B) 3 K p = 2 pNH 3 3 2 pN 2 2 pNH 3 3 1 3 pN 2 pH 2 (D) 3 2 K p 2 = 4 pN 2 CY- 4 / 40 2 pNH 3 4 pN 2 A Q.22 The average speed of H2, N2 and O2 gas molecules is in the order (A) H2 > N2 > O2 (C) H2 > O2 > N2 Q.23 (B) O2 > N2 > H2 (D) N2 > O2 > H2 The enthalpy of vaporization ( vap H ) is zero at (A) Boyle temperature (C) inversion temperature Q.24 (B) critical temperature (D) boiling temperature The half-life of any zero-order reaction is (A) independent of concentration (B) proportional to inverse of concentration (C) proportional to concentration (D) proportional to square of the concentration Q.25 The molality of (NH4)2SO4 solution that has the same ionic strength as 1 mol kg 1 solution of KCl is (A) 1 3 mol kg 1 (C) 2 5 mol kg 1 Q.26 (B) 1 2 mol kg 1 (D) 3 5 mol kg 1 0 The standard enthalpy of formation ( f H 300 ) at 1 bar and 300 K for the formation of CF2ClCF2Cl (g) from its constituent elements in the standard state is 900 kJ mol 1. Given 0 R = 8.3 J K 1 mol 1, the standard internal energy of formation ( f U 300 ) at the same pressure and temperature is (A) 905 kJ mol 1 (C) 895 kJ mol 1 Q.27 The percent transmittance of a solution having absorbance (optical density) 1.0 is (A) 1 Q.28 (B) 895 kJ mol 1 (D) 905 kJ mol 1 (B) 10 (C) 50 x y The matrix which transforms to is y x (A) ( 1 1) 1 (B) 1 0 1 (D) 1 0 1 0 (C) 0 1 CY- 5 / 40 (D) 99 A Q.29 A concentration cell with two hydrogen electrodes at two different pressures is depicted as H 2 ( g )( Pt ) HCl (aq) H 2 ( g )( Pt ) pH 2 = p1 pH 2 = p2 The potential (Ecell) of the cell is RT ln F RT (C) ln 2F (A) Q.30 p2 p1 p2 p1 RT ln F RT (D) ln 2F (B) p1 p2 p1 p2 An aqueous solution containing 1 g L 1 of a polymer exerts osmotic pressure of 4 torr at 300 K. Given R = 0.082 L atm, the molar mass (g mol 1) of the polymer is (A) 4500 (B) 4564 (C) 4674 CY- 6 / 40 (D) 4800 A Answer Table for Objective Questions Write the Code of your chosen answer only in the Answer column against each Question Number. Do not write anything else on this page. Question Answer Number Do not write in this column Question Answer Number 01 16 02 17 03 18 04 19 05 20 06 21 07 22 08 23 09 24 10 25 11 26 12 27 13 28 14 29 15 Do not write in this column 30 FOR EVALUATION ONLY Number of Correct Answers Marks (+) Number of Incorrect Answers Marks ( ) Total Marks in Question 1-30 CY- 7 / 40 ( ) A Q.31 (a) Identify the most acidic compound from the following: CH3 CH3, CH2=CH2 and CH CH, and justify your answer. Draw overlap of the orbitals to show bonding in the most acidic compound using the concept of hybridization. (9) (b) Write a balanced chemical equation to represent acid-base reaction of orthoboric acid in water. Addition of ethylene glycol to aqueous orthoboric acid enhances its acidity. Explain the above statement using appropriate chemical equation. (6) CY- 8 / 40 A CY- 9 / 40 A Q.32 (a) Draw the unit cell structure of NaCl. Calculate the limiting radius ratio of any ionic solid having NaCl like structure. (9) (b) Give molecular formula and structure of the compound formed by reaction of Be(OH)2 with acetic acid. (6) CY-10 / 40 A CY-11 / 40 A Q.33 (a) The spin-only magnetic moments of K3[Fe(oxalate)3] and K3[Ru(oxalate)3] are 5.91 B and 1.73 B, respectively. Write down their ligand field electronic configurations. Justify your answer. Atomic numbers of Fe and Ru are 26 and 44 respectively. (9) (b) Draw the structures of NO2+, NO2 and NO2 . Arrange them in the increasing order of O N O bond angles. CY-12 / 40 (6) A CY-13 / 40 A Q.34 (a) Show with labels the splitting of d-orbitals in an octahedral ligand field. Calculate the CFSE of (i) high spin d 6 and (ii) low spin d 6 metal ions in octahedral field. (9) (b) Schematically represent orbital overlaps in metal carbonyls. Show the correct signs of the lobes. CY-14 / 40 (6) A CY-15 / 40 A Q.35 (a) A coordination compound is composed of one Co(III), one chloride, one sulfate and four molecules of ammonia. The aqueous solution of the compound gives no precipitate when combined with aqueous BaCl2, while a white precipitate is formed with aqueous AgNO3 solution. Draw its structure and explain the observations with chemical equations. (9) (b) Draw the structures of dimethylglyoxime (DMGH2) and its Ni(II) complex formed in aqueous ammonia. (6) CY-16 / 40 A CY-17 / 40 A Q.36 (a) Write the structures of E, F and G in the following scheme of reactions (9) CHO CHOH NH2OH E (CHOH)2 excess (CH3CO)2O F excess aq. AgOH G (C4H8O4) CH2OH (b) Identify the structures of H and I in the following synthetic transformation CO2Me heat H heat S O O CY-18 / 40 I (C8H8O2) (6) A CY-19 / 40 A Q.37 (a) Complete the following reaction sequence with appropriate structures of J, K and L. O O H2O2 / HO J (cyclic enone) NaOH H K NaBH4 L (b) Identify the structures of M and N in the following synthetic transformation NH2 OH 1. amyl nitrite 2. HO , heat N M O CY-20 / 40 (9) O (6) A CY-21 / 40 A Q.38 (a) In the following reaction scheme, write the structures of O, P and Q. HC CCH2CH2OH O O + H NaNH2 / NH3 O 1. P H 2. (C9H14O2) (9) Q + (b) Given below are structures of some natural products. Identify them as vitamin A, B6, C, and D and classify them according to their classes (isoprenoid, alkaloid, carbohydrate and steroid). (6) CH2OH O O H OH OH HO OH OH H CH2 H HO H H 3C HO CY-22 / 40 OH N A CY-23 / 40 A Q.39 (a) Write the appropriate structures for R, S and T in the following scheme. OH 1. Tollens reagent O 2. H+ 1. CH3MgBr (excess) R + S (C6H12O) 2. H (C4H6O2) 1. BH3-THF 2. H2O2/ HO acetone / H+ O T O (b) Choose the correct stereoisomer between U and V that would furnish W on controlled hydrolysis. Write the stable conformation of W. SCOCH3 HO SCOCH3 OCOCH3 U V OCOCH3 CY-24 / 40 (9) controlled hydrolysis W C6H10S (6) A CY-25 / 40 A Q.40 The mechanism of isomerization of cyclobutene (CB) to 1,3-butadiene (BD) is as follows. k1 CB + CB CB + CB k 1 CB + CB CB + CB k2 CB BD (a) Show that the rate law is d [ DB] k2 k1 [CB ]2 . = dt k 1 [CB ] + k2 (b) The apparent first-order rate constant, kapp = (6) k2 k1 [CB ] . At the CB concentration k 1 [CB ] + k2 of 1 10 5 mol dm-3, the value of k app reaches 50% of its limiting value obtained at very high concentrations of CB. Evaluate the ratio CY-26 / 40 k2 . k 1 (9) A CY-27 / 40 A Q.41 (a) The molar conductance of 0.012 mol dm 3 aqueous solution of chloroacetic acid is 100 1 cm2 mol 1. The ion conductance of chloroacetate and H+ ions are 50 1 cm2 mol 1 and 350 1 cm2 mol 1, respectively. Calculate (i) degree of dissociation and pKa of chloroacetic acid, and (ii) H+ ion concentration in the solution. (9) (b) Sketch the conductivity versus concentration of base curves for the titration of aqueous solutions of acetic acid (i) with NaOH, and (ii) with NH4OH. CY-28 / 40 (6) A CY-29 / 40 A Q.42 A solution of a free particle Schr dinger equation h 2 d 2 ( x) = E ( x) is 8 2 m dx 2 ( x) = eikx = cos kx + i sin kx (a) Derive expressions for energy E and momentum p of the particle. (b) Using the above relations, show that the wavelength ( ) is CY-30 / 40 h . p (9) (6) A CY-31 / 40 A Q.43 (a) Sketch the temperature-composition phase diagram at 1 atm pressure for the ethanol-water system. (i) Label all the areas in the diagram. (ii) Indicate the temperature at which the composition of the vapor is same as that of the liquid. What is this mixture known as? (iii) What is the degree of freedom at the corresponding composition? (b) Estimate the pressure necessary to melt ice at 10 C if the molar volume of liquid water is 18.01 mL and molar volume of ice is 19.64 mL. The entropy change for the melting process is 16.3 J K 1. Assume that the molar volumes and entropy change remain constant in this temperature range. [100 J = 1 L bar] CY-32 / 40 (9) (6) A CY-33 / 40 A Q.44 U n2 a (a) (i) Show that for n moles of a van der Waals gas, = . 2 V T V (ii) Can a gas that obeys the equation of state p (V nb ) = nRT be liquefied? Explain. (9) (b) Consider ideal mixing of 2 moles of toluene and 2 moles of benzene at 1 atm and 300 K. Calculate the values of mixV, mixU, mixH, mixG, and mixS for the process. (ln 2 = 0.69) CY-34 / 40 (6) A CY-35 / 40 A SPACE FOR ROUGH WORK CY-36 / 40 A SPACE FOR ROUGH WORK CY-37 / 40 A SPACE FOR ROUGH WORK CY-38 / 40 SPACE FOR ROUGH WORK CY-iii / 40 A A 2012 CY Objective Part (Question Number 1 30) Total Marks Signature Subjective Part Question Number 31 Question Number 38 Marks 32 39 33 40 34 41 35 42 36 43 37 44 Total Marks in Subjective Part Total (Objective Part) : Total (Subjective Part) : Grand Total : Total Marks (in words) : Signature of Examiner(s) : Signature of Head Examiner(s) : Signature of Scrutinizer : Signature of Chief Scrutinizer : Signature of Coordinating Head Examiner : CY-iv / 40 Marks

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