Gate 2017 Chemistry Question Paper 5th Feb 2017 PDF Download

Graduate Aptitude Test in Engineering 2017

Question Paper Name: Chemistry 5th Feb 2017

Subject Name: Chemistry

Duration : 180

Total Marks: 100

1. Consider N particle at temperature T, pressure P, volume V and chemical potential μ having energy E. The parameters that are kept constant for a canonical ensemble are

(A)  N, V, T

(B)  N, V, E

(C)  N, P, T

(D)  μ, V, T

Ans: (A)

2. For ortho-hydrogen, the nuclear wave function and the rotational quantum number, respectively, are

(A)  antisymmetric and even

(B)  symmetric and odd

(C)  symmetric and even

(D)  antisymmetric and odd

Ans: (B)

3. m1 and m2 are the slopes (dp/dT) of the solid-liquid equilibrium lines in the P-T phase diagrams of H2O and CO2, respectively. For P < 10 atm, the values of m1 and m2 are

(A)  m1 > 0 and m2 > 0

(B)  m1 > 0 and m2 < 0

(C)  m1 < 0 and m2 < 0

(D)  m­1 < 0 and m2 > 0

Ans: (D)

4. The rate constant of reaction is 1.25 × 104 mol L1 s1. If the initial concentration of the reactant is 0.250 mol L1, the total time (in seconds) required for complete conversion is _______

Ans: (1999 to 2001)

5. Consider the ideal gas of volume V at temperature T and pressure P. If the entropy of the gas is S, the partial derivative (∂P/∂S)V is equal to

(A)  (∂T/∂P)S

(B)  (∂T/∂V)P

(C)  −(∂T/∂V)S

(D)  (∂T/∂S)P

Ans: (C)

6. The wavelength associated with a particle in one-dimensional box of length L is (n refers to the quantum number)

(A)  2L/n

(B)  L/n

(C)  nL

(D)  L/2n

Ans: (A)

7. The dependence of rate constant k on temperature T (in K) of a reaction is given by the expression

ln k = [(−5000 K)/T] + 10

The activation energy of the reaction (in kJ mol1 is ______ (up to two decimal places)

Ans: (41.50 to 41.60)

8. The lowest energy of a quantum mechanical one-dimensional simple harmonic oscillator is 300 cm1. The energy (in cm1) of the next higher level is ______

Ans: (899 to 901)

9. The electronic ground state term for the chromium ion in [Cr(CN)6]4 is

(A)  3F

(B)  3H

(C)  3G

(D)  5D

Ans: (B)

10. The  ions exhibit intense ligand to metal charge transfer transition. The wavelengths of this transition follow the order

(A) 

(B) 

(C) 

(D) 

Ans: (C)

11. The lanthanide ion that exhibits color in aqueous solution is

(A)  La(III)

(B)  Eu(III)

(C)  Gd(III)

(D)  Lu(III)

Ans: (B)

12. The hapticity of cycloheptatriene, (C7H8), in Mo(C7H8)(CO)3 is___________

Ans: (6)

13. The Vo-o resonance Raman stretching frequency (in cm1) of the O2 coordinated to iron centre in oxy-hemoglobin nearly

(A)  1100

(B)  850

(C)  1550

(D)  1950

Ans: (A)

14. The energy band diagram fro magnesium is (The hatched an unhatced regions in the figure correspond to filled and unfilled regions of the band, respectively.)

(A) 

(B) 

(C) 

(D) 

Ans: (D)

15. P, F and I represent primitive, face-centered and body-centered lattices, respectively. The lattice types of NaCl and CsCl, respectively, are

(A)  F and I

(B)  F and P

(C)  I and P

(D)  P and I

Ans: (B)

16. The characteristic feature of an electron spin resonance (ESR) spectrum of frozen aqueous solution of CuSO4∙5H2O at 77 K is

(A)  g > g

(B)  g < g

(C)  g = g

(D)  gx ≠ gy ≠ gz

Ans: (A)

17. The most suitable reagent for the following transformation is

(A)  Li/Liq. NH3

(B)  PtO2/H2

(C)  LiAlH4

(D)  B2H6

Ans: (A)

18. The major products M and N formed in the following reactions are

(A) 

(B) 

(C) 

(D) 

Ans: (C)

19. The 13C NMR spectrum of acetone-d6 has a signal at 30 ppm as a septel in the intensity ratio

(A)  1 : 6 : 15 : 20 : 15 : 6 : 1

(B)  1 : 3 : 6 : 7 : 6 : 3 : 1

(C)  1 : 2 : 3 : 5 : 3 : 2 : 1

(D)  1 : 3 : 7 : 10 : 7 : 3 : 1

Ans: (B)

20. The major product formed in the following reaction is 

(A) 

(B) 

(C) 

(D) 

Ans: (D)

21. The major product obtained in the following reaction is

(A) 

(B) 

(C) 

(D) 

Ans: (B)

22. In the two reaction sequence given below, the starting bis-sulfone acts as

(A)  a dienophile and synthetic equivalent of acetylene

(B)  a dienophile and synthetic equivalent of ethylene

(C)  a dipolarophile and synthetic equivalent of acetylene

(D)  a dipolarophile and synthetic equivalent of ethylene

Ans: (A)

23. The major product formed in the following photochemical reaction is 

(A) 

(B) 

(C) 

(D) 

Ans: (B)

24. The product formed in the following reaction is

(A) 

(B) 

(C) 

(D) 

Ans: (D)

25. The number of possible stereoisomers for cyclononene is _______

Ans: (3)

26. The mobility of a univalent ion in aqueous solution is 6.00 × 108 m2 s1 V1 at 300 K. Its diffusion coefficient at 300 K is X × 109 m2 s1. The value of X is __________ up to two decimal places)

Ans: (1.50 to 1.60)

27. For the following consecutive first order reactions

the time (in seconds) required for Y to reach its maximum concentration (assuming only X is present at time t = 0) is ___________(up to two decimal places)

Ans: (1.50 to 1.60)

28. Under physiological conditions, the conversion of CO2 to bicarbonate ion by carbonic anhydrase enzyme (MW = 30,000 g mol1) has a turnover number of 4.00 × 105 s1. The minimum amount of enzyme (in μg) required to convert 0.44 g of CO2 to bicarbonate ions in 100 seconds is ______ (up to two decimal places)

Ans: (7.40 to 7.60)

29. Assume 1,3,5-hexatriene to be a linear molecule and model the π electrons as particles in a one-dimensional box of length 0.70 nm. The wavelength (in nm) corresponding to the transition from the ground-state to the first excited-state is _________

Ans: (225 to 240)

30. The standard Gibbs free energy change of the reaction shown below is −7 kJ mol1.

Sn(s) + Pb2+ = Sn2+ + Pb(s)

Given that E°(Pb2+/Pb) is −0.126 V, the value of E°(Sn2+/Sn) in V is ______ (up to two decimal places)

Ans: (−0.15 to −0.13)

31. The dissociative chemiosorption of X2(g) on a metal surface follows Langmuir adsorption isotherm. The ratio of the rate constants of the adsorption and desorption processes is 4.0 atm1. The fractional surface coverage of X(adsorbed)at 1.0 atm pressure is ________ (up to two decimal places)

Ans: (0.65 to 0.70)

32. The ionic activity coefficients of Ca2+ and F are 0.72 and 0.28, respectively. The mean activity coefficient of CaF2 is _______(up to two decimal places)

Ans: (0.36 to 0.40)

33. The angle of orientation (in degrees) of the angular momentum vector with respect to z-axis for I = 2 and ml = +2 state of H-atom is ______(up to two decimal places)

Ans: (33.30 to 36.90)

34. The Gibbs free energy of mixing is denoted as ∆Gmix. 1.0 mole of He, 3.0 moles of Ne and 2.0 moles of Ar are mixed at the same pressure and temperature. Assuming ideal gas behavior, the value of ∆Gmix/RT is ______ (up to two decimal places)

Ans: (−6.10 to −6.05)

35. Ψ = [cϕ1 – (1/√3)ϕ2] represents a normalized molecular orbital constructed from two different atomic orbitals ϕ1 and ϕ2 that form an orthonormal set. The value of |c| is _________(up to two decimal places)

Ans: (0.80 to 0.84)

36. In cyclophosphazenes, (NPX2)3 (X = F, Cl, Br and Me), the s strength of P−N π-bond varies with X in the order

(A)  F > Cl > Br > Me

(B)  Me > F > Cl > Br

(C)  Br > Cl > F > Me

(D)  Me > Br > Cl > F

Ans: (A)

37. The structure type and shape of the polyhedral (skeletal) framework of the carbonate, Me2C2B10H10, respectively, are

(A)  nido and dodecahedron

(B)  closo and icosahedron

(C)  nido and icosahedron

(D)  closo and dodecahedron

Ans: (B)

38. If ∆o is the octahedral splitting energy and P is the electron pairing energy, then the crystal-field stabilization energy (CFSE) of [Co(NH3)6]2+ is

(A)  −0.8 ∆0 + 2P

(B)  −0.8 ∆0 + 1P

(C)  −0.8 ∆0

(D)  −1.8∆0 + 3P

Ans: (C)

39. The rates of substitution for the following reaction vary with L in the order

(A) 

(B) 

(C) 

(D) 

Ans: (D)

40. The product formed in the reaction of MeMn(CO)5 with 13CO is

(A)  (Me13CO)Mn(CO)5

(B)  (MeCO)Mn(CO)5

(C)  (MeCO)Mn(CO)4(13CO)

(D)  (Me13CO)Mn(CO4)(13CO)

Ans: (C)

41. For the following three alkenes, 1, 2,  and 3, the rates of hydrogenation using Wilkinson’s catalyst at 25℃ vary in the order

(A)  1 > 3 > 2

(B)  1 > 2 > 3

(C)  2 > 1 > 3

(D)  2 > 3 > 1

Ans: (B)

42. 210Bi undergoes β decay to 1/8 of its initial amount in 15 days. The time required for its decay 1/4 of its initial amount is _______ days (up to two decimal places).

Ans: (9.90 to 10.10)

43. The metal ion and the macrocyclic skeleton present in the green pigment of plants, respectively, are

(A)  Mg(II) and chlorin

(B)  Mg(II) and corrin

(C)  Mn(II) and chlorin

(D)  Mg(II) and porphine

Ans: (A)

44. The spinel structure of MgAl2O4 has cubic close packed arrangement of oxide ions. The fractions of the octahedral and tetrahedral sites occupied cations, respectively, are

(A)  1/8 and 1/2

(B)  1/4 and 1/2

(C)  1/2 and 1/4

(D)  1/2 and 1/8

Ans: (D)

45. The diffusion limiting current (Id) at a dropping mercury electrode for an aqueous Mg(II) solution of concentration ‘c’ (mol L1) is 300 μ If ‘c’ is increased by 0.1 mol L1, Id increases to 900 μA. The value of ‘c’ (in mol L1) is _______ (up to two decimal places)

Ans: (0.04 to 0.05)

46. The major product formed in the following reaction is

(A) 

(B) 

(C) 

(D) 

Ans: (C)

47. The product formed in the following photochemical reaction is

(A) 

(B) 

(C) 

(D) 

Ans: (D)

48. Among the following decahydroquinoline toluenesulfonates (Ts), the one that yields 9-methylamino-E-non-5-enal as a major product upon aqueous solvolysis is

(A) 

(B) 

(C) 

(D) 

Ans: (C)

49. The product obtained in the following solvolysis reaction is

(A)  a racemic mixture of trans 1,2-diacetoxycyclohexane

(B)  enantimerically pure trans 1,2-diacetoxycyclohexane

(C)  racemic cis 1,2-diacetoxycyclohexane

(D)  a mixture of cis and trans 1, 2-diacetoxycyclohexane

Ans: (A)

50. The spectroscopic data for an organic compound with molecular formula C10H12O2 are given below. IR band around 1750 cm11H NMR δ3 (m, 5H) 5.85 (Q, 1H, J = 7.2 Hz), 2.05 (s, 3H), 1.5 (d, 3H, J = 7.2 Hz) ppm. The compound is

(A)  methyl 2-phenylpropionate

(B)  1-(phenylethyl) acetate

(C)  2-(phenylethyl) acetate

(D)  methyl 3-phenylpropionate

Ans: (B)

51. The structure of the intermediate [P] and major product Q formed in the following reaction sequence are

(A) 

(B) 

(C) 

(D) 

Ans: (B)

52. Hydration of fumaric acid gives malic acid as shown below. Assume that addition of water takes place specifically from A face or B face. The correct statement pertaining to stereochemistry of malic acid formed is

(A)  addition specifically from A face gives S isomer of malic acid

(B)  addition specifically from B face gives S isomer of malic acid

(C)  addition specifically from A face gives R isomer of malic acid

(D)  addition specifically from B face gives a racemic mixture of malic acid

Ans: (A)

53. Hydroboration of 2-butyne with (C6H11)2BH yields the intermediate U, which on treatment with I2 and NaOMe at −78℃, gives product V. The structures of U and V are 

(A) 

(B) 

(C) 

(D) 

Ans: (D)

54. The structures of the major products W and X in the following synthetic scheme are

(A) 

(B) 

(C) 

(D) 

 

Ans: (D)

55. The major products Y and Z in the following reaction sequence are 

(A) 

(B) 

(C) 

(D) 

Ans: (A)

56. She has a sharp tongue and it occasionally turn _______

(A)  hurtful

(B)  left

(C)  methodical

(D)  vital

Ans: (A)

57. I_____ made arrangements had I _______ informed earlier.

(A)  could have, been

(B)  would have, being

(C)  had, have

(D)  had been, been

Ans: (A)

58. In the summer, water consumption is known to decrease overall by 25%. A Water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.

Which of the following statements is correct?

(A)  The ratio of household to other consumption is 8/17

(B)  The ratio of household to other consumption is 1/17

(C)  The ratio of household to other consumption is 17/8

(D)  There are errors in the official’s statement.

Ans: (D)

59. 40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represents this as a slice of a pie chart is

(A)  120

(B)  144

(C)  160

(D)  212       

Ans: (B)

60. Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?

i. At least one bench is a table

ii. At least one shelf is a bench

iii. At least one chair is a table

iv. All benches are chairs

(A)  Only i

(B)  Only ii

(C)  Only ii and iii

(D)  Only iv

Ans: (B)

61. ‘If you are looking for a history of India, or for an account of the rise and fall of the British Raj, or for the reason of the cleaving of the subcontinent into two mutually antagonistic parts and the effects this mutilation will have in the respective sections, and ultimately on Asia, you will not find it in these page; for though I have spent a lifetime in the country, I lived too near the seat of events, and was too intimately associated with the actors, to get the perspective needed for the impartial recording of these matters”.

Here, the word ‘antagonistic’ is closest in meaning to

(A)  impartial

(B)  argumentative

(C)  separated

(D)  hostile

Ans: (D)

62. S, T, U, V, W, X, Y, and Z are seated around a circular table. T’s neighbours are Y and V, Z is seated third to the left of T and second to the right of S,. U’s neighbours are S and Y; and T and W are not seated opposite each other. Who is third to the left of V?

(A)  X

(B)  W

(C)  U

(D)  T

Ans: (A)

63. Trucks (10 m long) and cars (5 m long) go on a single lane bridge.. There must be a gap of at least 20 m after each truck and a gap of at least 15 m after each car. Trucks and cars travel at a speed of 36 km/h. If cars and trucks go alternately, what is the maximum number of vehicles that can use the bridge in one hour?

(A)  1440

(B)  1200

(C)  720

(D)  600

Ans: (A)

64. There are 3 Indians and 3 Chinese in a group of 6 people. How many subgroups of this group can we choose so that every subgroup has at least one Indian?

(A)  56

(B)  52

(C)  48

(D)  44

Ans: (A)

65. A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25 m intervals in this plot.

The path from P to Q is best described by

(A)  Up-Down-Up-Down

(B)  Down-Up-Down-Up

(C)  Down-Up-Down

(D)  Up-Down-Up

Ans: (C)

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