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GATE 2015 : Chemistry

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GATE 2015 CHEMISTRY CY Useful information - CY Chemistry Avogadro constant = 6.022 1023 mol 1 Planck constant Mass of an electron Charge of an electron Universal gas constant Boltzmann constant 1 atm pressure Faraday constant 2.303 RT/F at 298 K = 6.626 10 34 J s = 9.109 x 10 31 Kg = 1.602 x 10 19 C = 8.314 J K 1 mol 1 = 0.0831 L bar K 1 mol 1 = 1.38 x 10 23 J K 1 = 101325 N m 2 = 96485 C mol 1 = 0.059 V CY 1/12 GATE 2015 CHE EMISTRY CY Y Q. 1 Q. 25 2 carry one o mark each. e Q.1 Wh hich one of th he following g plots represents an accep ptable wavef function? (A) ) (C) ) Q.2 (B) ) ) (D) Wh hen the oper rator, d /d dx , operates s on the func ction e 2 2 )k (A) 2 2 ikx e 2 (B) ik 2 2 ikx ikx , the result is 2 ikx e (C) i e (D) 2 ikx e Q.3 P V Fro om the above e Carnot cycl le undergone e by an ideal gas, identify y the process ses in which the t change in internal i energ gy is NON-Z ZERO. ) I and II (A) Q.4 (C) II and III (D) I and IV For r an ideal ga as with mol lar mass M, the molar translational t entropy at a given tem mperature is pro oportional to ) M 3/2 (A) CY (B) II and IV (B) M 1/2 (C) e M (D) ln(M) 2/12 2 GATE 2015 Q.5 CHEMISTRY CY Which one of the following defines the absolute temperature of a system? (A) Q.6 (B) ( mixG)T, P (ii) ( mixS)T, P is positive (iii) ( mixV)T, P is positive (iv) ( mixH)T, P is negative is negative (A) (i) and (iv) (B) (i) and (ii) (B) (D) (iii) and (iv) (D) (C) Given the E0 values for the following reaction sequence, Mn the computed value of E0 for Mn Q.9 (C) (i) and (iii) The expression for the equilibrium constant (Keq) for the enzyme catalyzed reaction given below, is (A) Q.8 (D) Which of the following properties are characteristic of an ideal solution? (i) Q.7 (C) Mn Mn Mn Mn Mn (in volts) is _______________ The absorption spectrum of [Ti(H2O)6]3+ in solution comprises of a maximum with a shoulder. The reason for the shoulder is (A) ligand-to-metal charge transfer (LMCT) (B) metal-to-ligand charge transfer (MLCT) (C) Jahn-Teller distortion (D) nephelauxetic effect Q.10 The ease of formation of the adduct, NH3 BX3 (where, X = F, Cl, Br) follows the order (A) BBr3 < BCl3 < BF3 (C) BF3 < BCl3 < BBr3 CY (B) BCl3 < BF3 < BBr3 (D) BBr3 < BF3 < BCl3 3/12 GATE 2015 Q.11 CHEMISTRY CY An efficient catalyst for hydrogenation of alkenes is [Rh(PPh3)3Cl]. However, [Ir(PPh3)3Cl] does not catalyze this reaction, because (A) PPh3 binds stronger to Ir than to Rh (C) PPh3 binds stronger to Rh than to Ir Q.12 Among the given pH values, the O2 binding efficiency of hemoglobin is maximum at (A) 6.8 Q.13 (B) 7.0 (D) 7.4 (B) ligand-to-metal charge transfer (LMCT) (D) inter-valence charge transfer (IVCT) The compound with planar geometry is (A) N(t-Bu)3 Q.15 (C) 7.2 The intense red color of [Fe(bpy)3]2+ (bpy = 2,2 -bipyridine) is due to (A) metal-to-ligand charge transfer (MLCT) (C) d-d transition Q.14 (B) Cl binds stronger to Ir than to Rh (D) Cl binds stronger to Rh than to Ir (B) NPh3 (C) NF3 (D) N(SiH3)3 The electrical conductivity of a metal (A) increases with increasing temperature (B) decreases with increasing temperature (C) is independent of temperature (D) shows oscillatory behaviour with temperature Q.16 Which one of the following statements is INCORRECT? (A) Frenkel defect is a cation vacancy and a cation interstitial. (B) Frenkel defect is an anion vacancy and a cation interstitial. (C) Density of a solid remains unchanged in case of Frenkel defects. (D) Density of a solid decreases in case of Schottky defects. Q.17 The absolute configuration of C2 and C3 in the following compound is (A) 2R, 3S CY (B) 2S, 3R (C) 2S, 3S (D) 2R, 3R 4/12 GATE 2015 Q.18 CHEMISTRY CY Among the following compounds, the one that is non-aromatic, is (A) Q.19 (B) (C) (D) The correct order of reactivity of p-halonitrobenzenes in the following reaction is (A) p-chloronitrobenzene > p-iodonitrobenzene > p-fluoronitrobenzene > p-bromonitrobenzene (B) p-fluoronitrobenzene > p-chloronitrobenzene > p-bromonitrobenzene > p-iodonitrobenzene (C) p-iodonitrobenzene > p-bromonitrobenzene > p-chloronitrobenzene > p-fluoronitrobenzene (D) p-bromonitrobenzene > p-fluoronitrobenzene > p-iodonitrobenzene > p-chloronitrobenzene Q.20 Tollen s test is NEGATIVE for (A) mannose Q.21 (B) monoterpene (B) (C) sesquiterpene (D) triterpene (C) (D) The following conversion is an example of (A) Arndt-Eistert homologation (C) Michael addition CY (D) sucrose Amongst the following, the compound that DOES NOT act as a diene in Diels-Alder reaction is (A) Q.23 (C) glucose The compound given below is a (A) sesterterpene Q.22 (B) maltose (B) Mannich reaction (D) Chichibabin amination reaction 5/12 GATE 2015 Q.24 CHEMISTRY CY The mass spectrum of a dihalo compound shows peaks with relative intensities of 1:2:1 corresponding to M, M+2 and M+4 (M is the mass of the molecular ion), respectively. The compound is (A) Q.25 (B) (C) (D) Reaction of benzaldehyde and p-methylbenzaldehyde under McMurry coupling conditions (TiCl3 and LiAlH4) gives a mixture of alkenes. The number of alkenes formed is _______________ Q. 26 Q. 55 carry two marks each. Q.26 The difference in the ground state energies (kJ/mol) of an electron in one-dimensional boxes of lengths 0.2 nm and 2 nm is _______________ Q.27 The mean ionic activity coefficient of 0.001 molal ZnSO4 (aq) at 298 K according to the DebyeH ckel limiting law is (Debye-H ckel constant is 0.509 molal ) _______________ Q.28 The process given below follows the Langmuir adsorption isotherm. If denotes the surface coverage and P denotes the pressure, the slope of the plot of 1/ versus is 1/ (A) 1/(Keq)2 (B) 1/Keq (C) 1/Keq (D) 1/(Keq)1/2 Q.29 For a gas phase unimolecular reaction at temperature 298 K, with a pre-exponential factor of 2.17 1013 s 1, the entropy of activation (J K 1 mol 1) is _______________ Q.30 A liquid has vapor pressure of 2.02 103 N m 2 at 293 K and heat of vaporization of 41 kJ mol 1. The boiling point of the liquid (in Kelvin) is _______________ CY 6/12 GATE 2015 Q.31 CHE EMISTRY CY Y e rotational partition p fun nction of a di iatomic mole ecule with en nergy levels correspondi ing to J = 0 The and d 1, is (where e, is a constant) ) 1+e 2 (A) (B) 1+3e 2 (C) 1+ e 3 (D) 1+3e 3 Q.32 The e internal energy of an id deal gas follo ows the equa ation U = 3.5 5 PV + k, wh here k is a co onstant. The gas s expands fro om an initial volume of 0.25 0 m3 to a final f volume e of 0.86 m3. If the initial l pressure is 1.3 3 2 5 N m , the cha ange in inter rnal energy (i in Joules) is (given PV = constant) ) __________ ______ Q.33 The e solubility product p of AgBr(s) A is 5 10 13 at 29 98 K. If the standard red duction potential of the 0 0 is 0.0 half-cell, E g 07 V, the sta andard reduct tion potentia al, E g+ g (i in volts) is __ ________. gBr(s) Br Q.34 One mole of a substance is heated from 300 K to t 400 K at t constant pr ressure. The e CP of the sub bstance is giv ven by, J K mol . The cha ange in entr ropy, in J K mol , of the substance is _________ _______ Q.35 The e potential energy (PE) versus v reacti ion coordina ate diagrams for electron n transfer rea actions with rate e constants k1, k2 and k3, are a given bel low. The inc creasing orde er of the rate constants is PE E k1 k2 k3 Reaction coordinate (A) ) k2 < k3 < k1 Q.36 (C) k3 < k2 < k1 (D) k3 < k1 < k2 The e distance be etween two successive (110) planes in a simple cubic lattice e with lattice e parameter a is (A) ) CY (B) k2 < k1 < k3 a (B) a (C) 2 a (D) 7/12 2 GATE 2015 Q.37 CHEMISTRY CY The percent transmittance of 8 10 5 M solution of KMnO4 is 39.8 when measured at 510 nm in a cell of path length of 1 cm. The absorbance and the molar extinction coefficient (in M 1 cm 1) of this solution are, respectively, (A) 0.30 and 4500 Q.38 (B) 2.0036 and 3 (B) S2N2Cl2 (D) 2.2416 and 3 (C) S2N2H4 (D) S4N4 (B) both diamagnetic (D) diamagnetic and paramagnetic, respectively The point group of IF7 is (A) D6h Q.42 (C) 2.2416 and 1 The complexes K2[NiF6] and K3[CoF6] are (A) both paramagnetic (C) paramagnetic and diamagnetic, respectively Q.41 (D) 0.48 and 5200 Ammonolysis of S2Cl2 in an inert solvent gives (A) S2N2 Q.40 (C) 0.4 and 5000 The value of g and the number of signals observed for the reference standard, diphenylpicrylhydrazyl (DPPH), in the solid state ESR spectrum are, respectively, (A) 2.0036 and 1 Q.39 (B) 0.35 and 4800 (B) D5h (C) C6v (D) C5v When one CO group is replaced by PPh3 in [Cr(CO)6], which one of the following statements is TRUE? (A) The Cr-C bond length increases and CO bond length decreases (B) The Cr-C bond length decreases and CO bond length decreases (C) The Cr-C bond length decreases and CO bond length increases (D) The Cr-C bond length increases and CO bond length increases Q.43 Identify X in the reaction, [Pt(NH3)4]2+ + 2 HCl X (A) cis-[PtCl2(NH3)2] (C) [PtCl(NH3)3]+ Q.44 (B) trans-[PtCl2(NH3)2] (D) [PtCl3(NH3)] Identify the function of hemocyanin and the metal responsible for it. (A) O2 transport and Fe (C) electron transport and Fe CY (B) O2 transport and Cu (D) electron transport and Cu 8/12 GATE 2015 CHEMISTRY CY Q.45 The limiting current (in A) from the reduction of 3 10 4 M Pb2+, using a dropping mercury electrode (DME) with characteristics, m = 3.0 mg s 1 and t = 3s, is (diffusion coefficient of Pb2+ = 1.2 10 5 cm2 s 1) _______________ Q.46 The number of possible stereoisomers obtained in the following reaction is _______________ Q.47 The major product formed in the following reaction is (A) (C) Q.48 (B) (D) The most suitable reagent(s) to effect the following transformation is (A) N2H4, KOH, heat (C) LiAlH4 CY (B) TsNHNH2, CF3COOH (D) Na, liq. NH3 9/12 GATE 2015 Q.49 CHEMISTRY CY The major product formed in the following reaction is (A) (C) Q.50 (B) (D) Solvolysis of the optically active compound X gives, mainly (A) (C) CY (B) (D) 10/12 GATE 2015 Q.51 CHEMISTRY CY The major product formed in the following reaction is (A) Q.52 (B) (C) The tetrapeptide, Ala-Val-Phe-Met, on reaction with Sanger s reagent, followed by hydrolysis gives (A) (B) (C) Q.53 (D) (D) The major product formed in the following reaction is (B) (A) (D) (C) CY 11/12 GATE 2015 Q.54 CHEMISTRY CY The Beckmann rearrangement of a bromoacetophenone oxime (C8H8BrNO) gives a major product having the following 1H NMR ( , ppm): 9.89 (s, 1H), 7.88 (s, 1H), 7.45 (d, 1H, J = 7.2 Hz), 7.17 (m, 1H), 7.12 (d, 1H, J = 7.0 Hz), 2.06 (s, 3H). The structure of the product is (A) (C) Q.55 (B) (D) The major products, K and L formed in the following reactions are (A) K = L= (B) K = L= (C) K = L= (D) K = L= END OF THE QUESTION PAPER CY 12/12

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