GATE 2021 Chemistry (CY) Question Paper with Solutions can be downloaded from here. More than 23500 students took GATE 2021 CY. This year IIT Bombay conducted GATE 2021. GATE 2021 CY exam took place on February 6, 2021 in the forenoon session (9:30 AM to 12:30 PM). As per the students, the difficulty level of the exam lies between easy to moderate. The number of General Aptitude questions remained the same in GATE 2021 CY.

Students aiming for GATE next year can download the previous year GATE question papers and answer key PDFs to check their preparation level.

GATE 2021 Chemistry (CY) Question Paper with Solutions

GATE 2021 Chemistry (CY) Question Paper download iconDownload Check Solutions

GATE 2021 Chemistry (CY) Question Paper with Solutions


Question 1:

Getting to the top is _______ than staying on top.

  • (A) more easy
  • (B) much easy
  • (C) easiest
  • (D) easier

Question 2:

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





Question 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

Question 4:

Let \( \oplus \) and \( \odot \) be two operators on numbers \( p \) and \( q \) such that \[ p \oplus q = \frac{p^2 + q^2}{pq} \quad and \quad p \odot q = \frac{p^2}{q}. \]
If \( x \oplus y = 2 \odot 2 \), then \( x = \: \_ \)?

  • (A) \( y/2 \)
  • (B) \( y \)
  • (C) \( 3y/2 \)
  • (D) \( 2y \)

Question 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

Question 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.

Question 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

Question 8:

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 \( \theta \), in degrees, is

  • (A) 36
  • (B) 45
  • (C) 72
  • (D) 108

Question 9:

A function, \( \lambda \), is defined by: \[ \lambda(p,q) = \begin{cases} (p - q)^2, & if p \geq q,
p + q, & if p < q. \end{cases} \]
The value of the expression \( \lambda(-( -3 + 2), ( -2 + 3)) \) is:

  • (A) -1
  • (B) 0
  • (C) \( \frac{16}{3} \)
  • (D) 16

Question 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.

Question 11:

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

Question 12:

The major product formed in the following reaction is:



Question 13:

The major product formed in the following reaction:


Question 14:

The least acidic among the following compounds:



is:

  • (A) M
  • (B) N
  • (C) O
  • (D) P

Question 15:

The major product formed in the following reaction:



is:

  • (A) \(OH\) \(CHO\)
  • (B) \(OH\) \(OHC\)
  • (C) \(OH\) \(OHC\)
  • (D) \(OH\) \(CHO\)

Question 16:

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

  • (A) H\(_2\), Pd/BaSO\(_4\)
  • (B) Bu\(_3\)SnH
  • (C) Li / liquid NH\(_3\)
  • (D) LiAlH\(_4\)

Question 17:

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 \( \delta \) 7.49 in the \( ^1H \) NMR spectrum in CDCl\(_3\). The compound is:

  • (A) 1,4-dichlorobenzene
  • (B) 1,4-dibromobenzene
  • (C) 1,2-dibromobenzene
  • (D) 1,2-dichlorobenzene

Question 18:

Reaction of LiAlH\(_4\) with one equivalent of Me\(_3\)N·HCl gives a tetrahedral compound, which reacts with another equivalent of Me\(_3\)N·HCl to give compound N. The compound N and its geometry, respectively, are:

  • (A) LiAlH\(_4\)NMe\(_3\) and trigonal bipyramidal
  • (B) Li\(_2\)AlH\(_4\)Cl and square pyramidal
  • (C) AlH\(_3\)(NMe\(_3\))\(_2\) and trigonal bipyramidal
  • (D) AlH\(_3\)(NMe\(_3\))\(_2\) and pentagonal

Question 19:

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

  • (A) hemoglobin
  • (B) hemocyanin
  • (C) myoglobin
  • (D) cytochrome P-450

Question 20:

A correct example of a nucleotide is:

  • (A) adenosine monophosphate (AMP)
  • (B) RNA
  • (C) uridine
  • (D) DNA

Question 21:

The equilibrium constant for the reaction \[ 3 \, NO (g) \rightleftharpoons N_2O (g) + NO_2 (g) \]
at 25°C is closest to: \[ [\Delta G^\circ = -104.18 \, kJ; R = 8.314 \, J mol^{-1} K^{-1}] \]

  • (A) 1.043
  • (B) \(1.8 \times 10^{18}\)
  • (C) 1.651
  • (D) \(5.7 \times 10^{-19}\)

Question 22:

The reaction of NiBr_2 with two equivalents of PPh_3 in CS_2 at -78°C gives a red-colored diamagnetic complex, [NiBr_2 \text{(PPh_3\text{)_2\text{]. 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

Question 23:

The rate of the substitution reaction of [Co(CN)\(_5\)Cl]\(^3^-\) with OH\(^-\) to give [Co(CN)\(_5\)(OH)]\(^3^-\) follows:

  • (A) depends on the concentrations of both [Co(CN)\(_5\)Cl]\(^3^-\) and OH\(^-\)
  • (B) depends on the concentration of [Co(CN)\(_5\)Cl]\(^3^-\) only
  • (C) is directly proportional to the concentration of OH\(^-\) only
  • (D) is inversely proportional to the concentration of OH\(^-\)

Question 24:

The \(\Delta_o\) of [Cr(H\(_2\)O)\(_6\)]\(^3+\), [CrF\(_6\)]\(^3-\), and [Cr(CN)\(_6\)]\(^3-\) follows the order:

  • (A) [Cr(H\(_2\)O)\(_6\)]\(^3+\) > [CrF\(_6\)]\(^3-\) > [Cr(CN)\(_6\)]\(^3-\)
  • (B) [CrF\(_6\)]\(^3-\) > [Cr(H\(_2\)O)\(_6\)]\(^3+\) > [Cr(CN)\(_6\)]\(^3-\)
  • (C) [Cr(CN)\(_6\)]\(^3-\) > [Cr(H\(_2\)O)\(_6\)]\(^3+\) > [CrF\(_6\)]\(^3-\)
  • (D) [CrF\(_6\)]\(^3-\) > [Cr(CN)\(_6\)]\(^3-\) > [Cr(H\(_2\)O)\(_6\)]\(^3+\)

Question 25:

The phase diagram of CO\(_2\) is shown below:



Phase diagram of CO\(_2\) with solid, liquid, and gas phases labeled along with critical temperature \(T_c\) and triple point temperature \(T_1\)

The correct statement(s) about CO\(_2\) is/are:

  • (A) Below \( T_c \), it does not exist in liquid state.
  • (B) Above \( T_c \), it does not exist in liquid state.
  • (C) At \( T_c \), it can exist in all three phases.
  • (D) Above \( T_1 \), it does not exist in solid state.

Question 26:

Acceptable wavefunctions for a quantum particle must be:

  • (A) odd
  • (B) even
  • (C) single-valued
  • (D) continuous

Question 27:

The characters of \( E, C_2, \sigma_v, \) and \( \sigma' \) symmetry operations, in this order, for valid irreducible representation(s) of the \( C_2v \) point group is/are:

  • (A) 1, 1, 1, 1
  • (B) −1, 1, 1, −1
  • (C) 1, −1, 1, −1
  • (D) 1, −1, −1, −1

Question 28:

The normal mode(s) of vibration of H\(_2\)O is/are:


Question 29:

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 ________ %.


Question 30:

Among the following eight compounds, the number of compound(s) which can exhibit stereoisomerism is ________.



Question 31:

The Mo–Mo bond order in [(η5-C5H5)Mo(CO)2]2 which obeys the 18-electron rule is ________.


Question 32:

The change in enthalpy (\( \Delta H \)) for the reaction
\[ 2 \, P (s) + 3 \, Br_2 (l) \rightarrow 2 \, PBr_3 (l) \]
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.


Question 33:

The number of signal(s) in the \( ^1H \) NMR spectrum of the following compound




recorded at 25°C in CDCl_3 is ________.


Question 34:

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.


Question 35:

The spin-only magnetic moment of [Co(H_2\text{O)_6^{2+ (rounded off to one decimal place) is _________ BM.


Question 36:

The geometry and the number of unpaired electrons in tetrakis(1-norbomyl)Co, respectively, are:


  • (A) tetrahedral and one
  • (B) tetrahedral and five
  • (C) square planar and one
  • (D) square planar and three

Question 37:

The yellow color of an aqueous solution of K\(_2\)CrO\(_4\) 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

Question 38:

The shapes of the compounds ClF\(_3\), XeOF\(_2\), N\(_3^-\) and XeO\(_3\)F\(_2\) 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

Question 39:

The metal borides that contain isolated boron atoms are:

  • (A) Tc\(_7\)B\(_3\) and Re\(_7\)B\(_3\)
  • (B) Cr\(_5\)B\(_3\) and V\(_3\)B\(_2\)
  • (C) Ti\(_4\)B\(_4\) and V\(_3\)B\(_4\)
  • (D) TiB and HfB

Question 40:

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

Question 41:

The major product formed in the following reaction is:



Question 42:

The major product formed in the following reaction:

  • (A) \(Ph - CO_2Me \)
  • (B) \(Ph - CO_2Me \)
  • (C) \(Ph - CO_2Me \)
  • (D) \(Ph - CO_2Me \)

Question 43:

In the following reaction sequence:



The major products P and Q, respectively, are:


Question 44:

In an electrochemical cell, Ag\(^+\) ions in AgNO\(_3\) are reduced to Ag metal at the cathode and Cu is oxidized to Cu\(^{2+}\) 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:

  • (A) 0.469 and 0.138
  • (B) 0.235 and 0.138
  • (C) 0.469 and 0.069
  • (D) 0.235 and 0.069

Question 45:

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

Question 46:

In the following reaction



the major products X and Y, respectively, are:


Question 47:

The major products P and Q formed in the following reactions respectively, are:





Question 48:

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

Question 49:

The major product formed in the following reaction:



is:



Question 50:

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

Question 51:

The correct order of Lewis acid strengths of BF\(_2\)Cl, BFClBr, BF\(_2\)Br and BFBr\(_2\) is:

  • (A) BF\(_2\)Cl > BFClBr > BF\(_2\)Br > BFBr\(_2\)
  • (B) BFBr\(_2\) > BFClBr > BF\(_2\)Br > BF\(_2\)Cl
  • (C) BF\(_2\)Cl > BF\(_2\)Br > BFClBr > BFBr\(_2\)
  • (D) BFClBr > BFBr\(_2\) > BF\(_2\)Cl > BF\(_2\)Br

Question 52:

The correct order of increasing intensity (molar absorptivity) of the UV-visible absorption bands for the ions [Ti(H\(_2\)O)\(_6\)]\(^{3+}\), [Mn(H\(_2\)O)\(_6\)]\(^{2+}\), [CrO\(_4\)]\(^{2-}\), and [NiCl\(_4\)]\(^{2-}\) is:

  • (A) [Ti(H\(_2\)O)\(_6\)]\(^{3+}\) < [Mn(H\(_2\)O)\(_6\)]\(^{2+}\) < [CrO\(_4\)]\(^{2-}\) < [NiCl\(_4\)]\(^{2-}\)
  • (B) [Mn(H\(_2\)O)\(_6\)]\(^{2+}\) < [Ti(H\(_2\)O)\(_6\)]\(^{3+}\) < [NiCl\(_4\)]\(^{2-}\) < [CrO\(_4\)]\(^{2-}\)
  • (C) [NiCl\(_4\)]\(^{2-}\) < [Ti(H\(_2\)O)\(_6\)]\(^{3+}\) < [Mn(H\(_2\)O)\(_6\)]\(^{2+}\) < [CrO\(_4\)]\(^{2-}\)
  • (D) [Ti(H\(_2\)O)\(_6\)]\(^{3+}\) < [NiCl\(_4\)]\(^{2-}\) < [CrO\(_4\)]\(^{2-}\) < [Mn(H\(_2\)O)\(_6\)]\(^{2+}\)

Question 53:

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

Question 54:

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.

Question 55:

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 ________.

Given: \( h = 6.626 \times 10^{-34} \, kg m^2 s^{-1}, c = 3.0 \times 10^8 \, m s^{-1} \).


Question 56:

Given the initial weight of 1 mg of radioactive \( ^{60} \)Co (half-life = 5.27 years), the amount disintegrated in 1 year (rounded off to two decimal places) is ________ mg.


Question 57:

The de Broglie wavelength of an argon atom (mass = 40 amu) traveling at a speed of 250 m/s (rounded off to one decimal place) is ________ picometers.

Given: \( N = 6.022 \times 10^{23}, h = 6.626 \times 10^{-34} \, kg m^2 s^{-1} \).


Question 58:

The molar absorption coefficient of a substance dissolved in cyclohexane is 1710 L mol\(^{-1}\) cm\(^{-1}\) 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 L\(^{-1}\) solution (rounded off to one decimal place) is ________ %.


Question 59:

The fundamental vibrational frequency of \( ^1H^{127}I \) is 2309 cm\(^{-1}\). The force constant for this molecule (rounded off to the nearest integer) is ________ N m\(^{-1}\).

Given: \( N = 6.022 \times 10^{23}, c = 3.0 \times 10^8 \, m s^{-1} \).


Question 60:

A laser Raman spectrometer operating at 532 nm is used to record the vibrational spectrum of \( Cl_2 \) having its fundamental vibration at 560 cm\(^{-1}\). The Stokes line corresponding to this vibration will be observed at ________ cm\(^{-1}\).


Question 61:

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 ________.


Question 62:

The reaction
\[ CO (g) + Cl_2 (g) \rightleftharpoons COCl_2 (g) \]
at 500 °C, with initial pressures of 0.7 bar of CO and 1.0 bar of Cl_2, is allowed to reach equilibrium. The partial pressure of COCl_2 (g) at equilibrium is 0.15 bar. The equilibrium constant for this reaction at 500 °C (rounded off to two decimal places) is ________.


Question 63:

The rate constants for the decomposition of a molecule in the presence of oxygen are 0.237 \times 10^{-4} L mol\(^{-1}\) s\(^{-1}\) at 0 °C and 2.64 \times 10^{-4 L mol\(^{-1}\) s\(^{-1}\) at 25 °C. The activation energy for this reaction (rounded off to one decimal place) is ________ kJ mol\(^{-1}\).

Given: \( R = 8.314 \, J mol^{-1} K^{-1} \).


Question 64:

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.


Question 65:

The quantity of the cobalt ore [Co\(_3\)(AsO\(_4\))\(_2\)\( \cdot \) H\(_2\)O] required to obtain 1 kg of cobalt (rounded off to two decimal places) is ________ kg.

Given: Atomic Wt. of Co = 59, As = 75, O = 16, H = 1.



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GATE 2021 CY: Paper Analysis

The question paper was full of easy questions. General Aptitude and Inorganic Chemistry questions were quite easy to attempt.

The below-mentioned table shows No. of questions asked as per the topics-

Sections No. Of Question Asked Asked Topics
Inorganic Chemistry 3-4 Base Hydrolysis, A question on Chemical Bonding - CLF3 XeoF2
Physical Spectra 2-3 Pericycle
Thermodynamics 2-3 -
Electrochemistry 2-3 Faraday First Law
Solutions 2 (Numerical Questions) -
Quantum 2 Acceptable Wave Function, De Broglie Wavelength
Chemical Equilibrium 2 Coordination, Reagent, Chemical Bonding, Geometry
F-Block 1 -
  • 40-50 attempted questions would be considered a good attempting rate
  • Reagent holds the maximum weightage in the paper
  • Questions from Physical Chemistry, Organic Chemistry, and Inorganic Chemistry considered the easiest questions to attempt
  • Questions appeared from Quantum section were the most difficult questions to attempt
  • Not even a single question asked from solid-state section

Also Check:

GATE 2021 CY: Exam Pattern and Marking Scheme

The conducting authorities had MSQs from the year 2021. MSQs comes with one or more than one correct answers. A student had to choose all the correct answers to solve MSQs correctly. Likewise, NATs no marks would be deducted if students attempt wrong or incorrect MSQs. MSQs, MCQs and NATs constituted the GATE 2021 CY. Each question holds either 1 or 2 marks. There were a total of 65 questions holding 100 marks.

  • Candidates will have to pay penalty of ⅓ and ⅔ marks for every wrong question carried 1 and 2 marks
  • Marks would be deducted only for the incorrect MCQs
  • The cutoff for 2021 goes up to 36.2, 32.5, and 24.1 for General, OBC, and SC/ST candidates

GATE Previous Year Question Papers

Other PG Exams Question Papers