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GATE Chemistry 2021

  • Paper code: CY
  • Language: English
  • 32 pages
GATE Chemistry 2021 question paper, GATE 2021, Chemistry, page 1 of 32
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Chemistry (CY)



                             General Aptitude (GA)


 Q.1 – Q.5 Multiple Choice Question (MCQ), carry ONE mark each (for each wrong
 answer: – 1/3).




   Q.1     Getting to the top is ________________ than staying on top.

   (A)     more easy

   (B)     much easy

   (C)     easiest

   (D)     easier




CY - Copyright © GATE 2021                                                    Page 1 of 29
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Chemistry (CY)

   Q.2




           The mirror image of the above text about the x-axis is

   (A)




   (B)




   (C)




   (D)




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   Q.3     In a company, 35% of the employees drink coffee, 40% of the employees
           drink tea and 10% of the employees drink both tea and coffee. What % of
           employees drink neither tea nor coffee?

   (A)     15

   (B)     25

   (C)     35

   (D)     40


   Q.4      † and ٖ are two operators on numbers p and q such that
                    p2  q2             ࢖૛
            p†q             and ࢖ ٖ ࢗ ൌ ࢗ ;
                      pq
           If ࢞ ْ ࢟ ൌ ૛ ٖ ૛, then x

   (A)      y
            2

   (B)     y

   (C)      3y
             2

   (D)     2y



   Q.5     Four persons P, Q, R and S are to be seated in a row, all facing the same
           direction, but not necessarily in the same order. P and R cannot sit adjacent
           to each other. S should be seated to the right of Q. The number of distinct
           seating arrangements possible is:

   (A)     2

   (B)     4

   (C)     6

   (D)     8




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Chemistry (CY)

 Q. 6 – Q. 10 Multiple Choice Question (MCQ), carry TWO marks each (for each wrong
 answer: – 2/3).



   Q.6     Statement: Either P marries Q or X marries Y
           Among the options below, the logical NEGATION of the above statement is:

   (A)     P does not marry Q and X marries Y.

   (B)     Neither P marries Q nor X marries Y.

   (C)     X does not marry Y and P marries Q.

   (D)     P marries Q and X marries Y.



   Q.7     Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4
           cm each.
           Folding operation 1: The sheet is folded into half by joining the short edges of
           the current shape.
           Folding operation 2: The sheet is folded into half by joining the long edges of
           the current shape.
           Folding operation 1 is carried out on Sheet M three times.
           Folding operation 2 is carried out on Sheet N three times.
           The ratio of perimeters of the final folded shape of Sheet N to the final folded
           shape of Sheet M is ______.

   (A)     13 : 7

   (B)     3:2

   (C)     7:5

   (D)     5 : 13




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Chemistry (CY)

   Q.8                                             P

                                                   Ʌ
                                 T                                Q




                                          S                R

           Five line segments of equal lengths, PR, PS, QS, QT and RT are used to
           form a star as shown in the figure above.
           The value of T, in degrees, is ______

   (A)     36

   (B)     45

   (C)     72

   (D)     108


   Q.9     A function, O, is defined by
                     ­° p  q 2 , if p t q,
           O p,q      ®
                      °̄ p  q,   if p  q.


                                          O  3  2 , 2  3
            The value of the expression                         is:
                                                 2  1

   (A)     െͳ

   (B)     Ͳ

   (C)     ͳ͸
            ͵
   (D)     ͳ͸




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  Q.10     Humans have the ability to construct worlds entirely in their minds, which
           don’t exist in the physical world. So far as we know, no other species
           possesses this ability. This skill is so important that we have different words
           to refer to its different flavors, such as imagination, invention and
           innovation.

           Based on the above passage, which one of the following is TRUE?

   (A)     No species possess the ability to construct worlds in their minds.

   (B)     The terms imagination, invention and innovation refer to unrelated skills.

   (C)     We do not know of any species other than humans who possess the ability to
           construct mental worlds.

   (D)     Imagination, invention and innovation are unrelated to the ability to construct
           mental worlds.




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                                 Chemistry (CY)


 Q.1 – Q.14 Multiple Choice Question (MCQ), carry ONE mark each (for each wrong
 answer: – 1/3).



   Q.1      The rates of alkaline hydrolysis of the compounds shown below




            follow the order:

   (A)      I > II > III

    (B)     II > I > III

    (C)     II > III > I

   (D)      III > I > II



   Q.2      The major product formed in the following reaction




            is:

   (A)



    (B)



    (C)



   (D)




CY - Copyright © GATE 2021                                                  Page 7 of 29
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Chemistry (CY)

   Q.3      The major product formed in the following reaction




            is:


   (A)



    (B)



    (C)



   (D)




   Q.4      The least acidic among the following compounds




            is:

   (A)      M

    (B)     N

    (C)     O

   (D)      P




CY - Copyright © GATE 2021                                            Page 8 of 29
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Chemistry (CY)

   Q.5      The major product formed in the following reaction




            is:

   (A)



    (B)




    (C)



   (D)




   Q.6      The reagent(s) required for the conversion of hex-3-yne to (E)-hex-3-ene
            is/are:

   (A)      H2, Pd/BaSO4

    (B)     Bu3SnH

    (C)     Li / liquid NH3

   (D)      LiAlH4




CY - Copyright © GATE 2021                                                   Page 9 of 29
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Chemistry (CY)

   Q.7      An organic compound exhibits the [M]+, [M+2]+ and [M+4]+ peaks in the
            intensity ratio 1:2:1 in the mass spectrum, and shows a singlet at G 7.49 in
            the 1H NMR spectrum in CDCl3. The compound is:

   (A)      1,4-dichlorobenzene

    (B)     1,4-dibromobenzene

    (C)     1,2-dibromobenzene

   (D)      1,2-dichlorobenzene




   Q.8      Reaction of LiAlH4 with one equivalent of Me3N∙HCl gives a tetrahedral
            compound, which reacts with another equivalent of Me3N∙HCl to give
            compound N. The compound N and its geometry, respectively, are:

   (A)      LiAlH4NMe3 and trigonal bipyramidal

    (B)     Li2AlH4Cl and square pyramidal

    (C)     AlH3(NMe3)2 and trigonal bipyramidal

   (D)      AlH3(NMe3)2 and pentagonal




   Q.9      Which one of the following is a non-heme protein?

   (A)      hemoglobin

    (B)     hemocyanin

    (C)     myoglobin

   (D)      cytochrome P-450




CY - Copyright © GATE 2021                                                   Page 10 of 29
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Chemistry (CY)


   Q.10     A correct example of a nucleotide is:

   (A)      adenosine monophosphate (AMP)

    (B)     RNA

    (C)     uridine

   (D)      DNA


   Q.11     The equilibrium constant for the reaction

            3 NO (g) ֖ N2O (g) + NO2 (g)

            at 25 °C is closest to:

            [ΔG° = 104.18 kJ; R = 8.314 J mol1 K1]

   (A)      1.043

    (B)     1.8 × 1018

    (C)     1.651

   (D)      5.7 × 1019



   Q.12     The reaction of NiBr2 with two equivalents of PPh3 in CS2 at –78 °C gives a
            red-colored diamagnetic complex, [NiBr2(PPh3)2]. This transforms to a
            green-colored paramagnetic complex with the same molecular formula at
            25 °C. The geometry and the number of unpaired electrons in the
            green-colored complex, respectively, are:

   (A)      tetrahedral and 1

    (B)     tetrahedral and 2

    (C)     square planar and 2

   (D)      square planar and 4




CY - Copyright © GATE 2021                                                  Page 11 of 29
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   Q.13     The rate of the substitution reaction of [Co(CN)5Cl]3– with OH– to give
            [Co(CN)5(OH)]3–


   (A)      depends on the concentrations of both [Co(CN)5Cl]3– and OH–


    (B)     depends on the concentration of [Co(CN)5Cl]3– only


    (C)     is directly proportional to the concentration of OH– only

   (D)      is inversely proportional to the concentration of OH–




   Q.14     The 'o of
            [Cr(H2O)6]3+, [CrF6]3– and [Cr(CN)6]3–
            follows the order:

   (A)      [Cr(H2O)6]3+ > [CrF6]3– > [Cr(CN)6]3–

    (B)     [CrF6]3– > [Cr(H2O)6]3+ > [Cr(CN)6]3–

    (C)     [Cr(CN)6]3– > [Cr(H2O)6]3+ > [CrF6]3–

   (D)      [CrF6]3– > [Cr(CN)6]3– > [Cr(H2O)6]3+




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 Q.15 – Q.18 Multiple Select Question (MSQ), carry ONE mark each (no negative
 marks).



   Q.15     The phase diagram of CO2 is shown below:




            The correct statement(s) about CO2 is/are:

   (A)      Below Tc, it does not exist in liquid state.

    (B)     Above Tc, it does not exist in liquid state.

    (C)     At Tc, it can exist in all three phases.

   (D)      Above T1, it does not exist in solid state.




CY - Copyright © GATE 2021                                         Page 13 of 29
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Chemistry (CY)

   Q.16     Acceptable wavefunctions for a quantum particle must be:

   (A)      odd

    (B)     even

    (C)     single-valued

   (D)      continuous



  Q. 17     The characters of E, C2, Vv, and V'v symmetry operations, in this order, for
            valid irreducible representation(s) of the C2v point group is/are:

   (A)      1, 1, 1, 1

    (B)     1, 1, 1, 1

    (C)     1, 1, 1, 1

   (D)      1, 1, 1, 1



  Q. 18     The normal mode(s) of vibration of H2O is/are:



   (A)




    (B)



    (C)



   (D)




CY - Copyright © GATE 2021                                                   Page 14 of 29
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Chemistry (CY)

 Q.19 – Q.25 Numerical Answer Type (NAT), carry ONE mark each (no negative
 marks).



  Q. 19     A reversible heat engine absorbs 20 kJ of heat from a source at 500 K and
            dissipates it to the reservoir at 400 K. The efficiency of the heat engine is
            _______%.




  Q. 20     Among the following eight compounds,




            the number of compound(s) which can exhibit stereoisomerism is _______.




  Q. 21     The MoMo bond order in [(K5-C5H5)Mo(CO)2]2 which obeys the 18-
            electron rule is _______.




  Q. 22     The change in enthalpy (ΔH) for the reaction
            2 P (s) + 3 Br2 (l) → 2 PBr3 (l)
            is 243 kJ. In this reaction, if the amount of phosphorus consumed is 3.1 g,
            the change in enthalpy (rounded off to two decimal places) is ______ kJ.
            [Atomic Wt. of P = 31]




CY - Copyright © GATE 2021                                                    Page 15 of 29
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  Q. 23     The number of signal(s) in the 1H NMR spectrum of the following
            compound




            recorded at 25 °C in CDCl3 is __________.




  Q. 24     A 5 V battery delivers a steady current of 1.5 A for a period of 2 h. The total
            charge that has passed through the circuit is ______ Coulombs.




  Q. 25     The spin-only magnetic moment of [Co(H2O)6]2+ (rounded off to one
            decimal place) is _______ BM.




CY - Copyright © GATE 2021                                                     Page 16 of 29
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Chemistry (CY)


 Q.26 – Q.42 Multiple Choice Question (MCQ), carry TWO mark each (for each wrong
 answer: – 2/3).

 Q.26 The geometry and the number of unpaired electrons in tetrakis(1-
      norbornyl)Co




        respectively, are:

 (A)    tetrahedral and one

  (B)   tetrahedral and five

  (C)   square planar and one

 (D)    square planar and three


 Q.27 The yellow color of an aqueous solution of K2CrO4 changes to red-orange upon
      the addition of a few drops of HCl. The red-orange complex, the oxidation state
      of its central element(s), and the origin of its color, respectively, are:

 (A)    chromium chloride, +3, d-d transition

  (B)   dichromate ion, +6 and +6, charge transfer

  (C)   perchlorate ion, +7, charge transfer

 (D)    chromic acid, +6, charge transfer




 Q.28 The shapes of the compounds
        ClF3, XeOF2, N3 and XeO3F2
        respectively, are:

 (A)    T-shape, T-shape, linear and trigonal bipyramidal

  (B)   trigonal planar, T-shape, V-shape and square pyramidal

  (C)   T-shape, trigonal planar, linear and square pyramidal

 (D)    trigonal planar, trigonal planar, V-shape and trigonal bipyramidal



CY - Copyright © GATE 2021                                                       Page 17 of 29
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 Q.29 The metal borides that contain isolated boron atoms are:

 (A)    Tc7B3 and Re7B3

  (B)   Cr5B3 and V3B2

  (C)   Ti4B4 and V3B4

 (D)    TiB and HfB



 Q.30 The major product formed in the following reaction




        is:

 (A)    non-6-yn-2-one

  (B)   non-3-yn-8-one

  (C)   non-2-yn-6-one

 (D)    non-3-en-8-one




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Chemistry (CY)

 Q.31 The major product formed in the following reaction




        is:

 (A)




  (B)




  (C)




 (D)




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 Q.32 The major product formed in the following reaction




        is:



 (A)




  (B)




  (C)




 (D)




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 Q.33    In the following reaction sequence




         the major products P and Q, respectively, are:



  (A)




   (B)




   (C)




  (D)




CY - Copyright © GATE 2021                                    Page 21 of 29
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 Q.34 In an electrochemical cell, Ag+ ions in AgNO3 are reduced to Ag metal at the
      cathode and Cu is oxidized to Cu2+ at the anode. A current of 0.7 A is passed
      through the cell for 10 min. The mass (in grams) of silver deposited and copper
      dissolved, respectively, are:
        [Faraday Constant = 96,485 C mol1, Atomic Weight of Ag = 107.9, Atomic
        Weight of Cu = 63.55]

 (A)    0.469 and 0.138

  (B)   0.235 and 0.138

  (C)   0.469 and 0.069

 (D)    0.235 and 0.069



 Q.35 Among the following




        the compounds which can be prepared by nucleophilic substitution reaction
        are:

 (A)    III, IV, and V

  (B)   I, II, and VI

  (C)   II, IV, and VI

 (D)    I, III, and V




CY - Copyright © GATE 2021                                                Page 22 of 29
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Chemistry (CY)

 Q.36 In the following reaction




        the major products X and Y, respectively, are:

 (A)



  (B)



  (C)



 (D)




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Chemistry (CY)

 Q.37 The major products P and Q formed in the following reactions




        respectively, are:



 (A)




  (B)




  (C)




 (D)




 Q.38 The major product formed in the reaction of (2R,3R)-2-bromo-3-methylpentane
      with NaOMe is:

  (A) (Z)-3-methylpent-2-ene

  (B) (E)-3-methylpent-2-ene

  (C) (2R,3R)-2-methoxy-3-methylpentane

  (D) (2S,3R)-2-methoxy-3-methylpentane


CY - Copyright © GATE 2021                                               Page 24 of 29
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Chemistry (CY)

 Q.39 The major product formed in the following reaction




        is:


 (A)



  (B)




  (C)




 (D)




 Q.40 Hexane and heptane are completely miscible. At 25 °C, the vapor pressures of
      hexane and heptane are 0.198 atm and 0.06 atm, respectively. The mole
      fractions of hexane and heptane in the vapor phase for a solution containing 4
      M hexane and 6 M heptane, respectively, are:

 (A)    0.688 and 0.312

  (B)   0.400 and 0.600

  (C)   0.312 and 0.688

 (D)    0.600 and 0.400




CY - Copyright © GATE 2021                                               Page 25 of 29
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Chemistry (CY)

 Q.43 – Q.44 Multiple Select Question (MSQ), carry TWO mark each (no negative
 marks).


 Q.43 The correct statement(s) about the concentration of Na+ and K+ ions in animal
      cells is/are:

 (A)    [K+] inside the cell > [K+] outside the cell

  (B)   [Na+] inside the cell > [Na+] outside the cell

  (C)   [Na+] inside the cell < [Na+] outside the cell

 (D)    [K+] inside the cell < [K+] outside the cell




 Q.44   The correct statement(s) about actinides is/are:

  (A) The 5f electrons of actinides are bound less tightly than the 4f electrons.

  (B) The trans uranium elements are prepared artificially.

  (C) All the actinides are radioactive.

  (D) Actinides do not exhibit actinide contraction.




CY - Copyright © GATE 2021                                                          Page 27 of 29
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Chemistry (CY)



 Q.45 – Q.55 Numerical Answer Type (NAT), carry TWO mark each (no negative
 marks).


 Q.45 The number of photons emitted per nanosecond by a deuterium lamp (400 nm)
      having a power of 1 microwatt (rounded off to the nearest integer) is ______.
        [h = 6.626 × 1034 kg m2 s1; c = 3.0 × 108 m s1]




 Q.46 Given the initial weight of 1 mg of radioactive ૟૙
                                                      ૛ૠ۱‫( ܗ‬half-life = 5.27 years), the
      amount disintegrated in 1 year (rounded off to two decimal places) is
      _______mg.



 Q.47 The de Broglie wavelength of an argon atom (mass = 40 amu) traveling at a
      speed of 250 m s1 (rounded off to one decimal place) is __________ picometers.
        [N = 6.022 × 1023; h = 6.626 × 1034 kg m2 s1]



 Q.48 The molar absorption coefficient of a substance dissolved in cyclohexane is
      1710 L mol1 cm1 at 500 nm. The reduction in intensity of light of the same
      wavelength that passes through a cell of 1 mm path length containing a 2 mmol
      L1 solution (rounded off to one decimal place) is ___________%.



 Q.49 The fundamental vibrational frequency of 1H127I is 2309 cm1. The force
      constant for this molecule (rounded off to the nearest integer) is _____N m1.
        [N = 6.022 × 1023, c = 3.0 × 108 m s1]



 Q.50 A laser Raman spectrometer operating at 532 nm is used to record the
      vibrational spectrum of Cl2 having its fundamental vibration at 560 cm1. The
      Stokes line corresponding to this vibration will be observed at _______ cm1.
      (Rounded off to the nearest integer)




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 Q.51 The vapor pressure of toluene (Mol. Wt. = 92) is 0.13 atm at 25 °C. If 6 g of a
      hydrocarbon is dissolved in 92 g of toluene, the vapor pressure drops to 0.12
      atm. The molar mass of the hydrocarbon (rounded off to the nearest integer) is
      _______.


 Q.52 The reaction
        CO (g) + Cl2 (g) ֖ COCl2 (g)
        at 500 °C, with initial pressures of 0.7 bar of CO and 1.0 bar of Cl2, is allowed
        to reach equilibrium. The partial pressure of COCl2 (g) at equilibrium is 0.15
        bar. The equilibrium constant for this reaction at 500 °C (rounded off to two
        decimal places) is _____________.



 Q.53 The rate constants for the decomposition of a molecule in the presence of oxygen
      are 0.237 × 104 L mol1 s1 at 0 °C and 2.64 × 104 L mol1 s1 at 25 °C
        (R = 8.314 J mol1 K1).
        The activation energy for this reaction (rounded off to one decimal place) is
        ___________ kJ mol1.



 Q.54 2 L of a gas at 1 atm pressure is reversibly heated to reach a final volume of 3.5
      L. The absolute value of the work done on the gas (rounded off to the nearest
      integer) is _______ Joules.



 Q.55 The quantity of the cobalt ore [Co3(AsO4)2∙H2O] required to obtain 1 kg of
      cobalt (rounded off to two decimal places) is _________ kg.
        [Atomic Wt. of Co = 59, As = 75, O = 16, H = 1]


                             END OF THE QUESTION PAPER




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Source: GATE. Question paper published by GATE.