IIT JAM 2024 Chemistry (CY) Question Paper (Available)- Download Solution PDF with Answer Key

Question 22:

If nitrogen and oxygen gases are at the same temperature, the correct statement according to the kinetic theory of gases is:

1. Average kinetic energy of nitrogen and oxygen molecules is inversely proportional to temperature.
2. For nitrogen and oxygen molecules, the root mean square speed is equal to the most probable speed.
3. Average speed of nitrogen molecules is less than the average speed of oxygen molecules.
4. Average kinetic energies of nitrogen and oxygen molecules are equal.

Question 23:

A system undergoes one clockwise cycle from point X back to point X as shown in the figure below:

The correct statement about this process is:

1. Internal energy of the system decreases at the end of the cycle.
2. Entropy of the system increases at the end of the cycle.
3. System performs work on the surroundings during the cycle.
4. Heat exchanged between system and surroundings is zero during the cycle.

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Question 24:

For the reaction below:

The oxidation states of Mn in P and Q, respectively, are:

1. +1 and +1
2. -1 and +1
3. -1 and -1
4. +1 and -1

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Question 25:

The number and nature of d–d transition(s) in the case of Sc²⁺ in an octahedral crystal field, respectively, are:

1. 1 and spin allowed.
2. 3 and spin allowed.
3. 1 and Laporte allowed.
4. 3 and Laporte allowed.

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Question 26:

The d-d transitions in [Mn(H₂O)₆]²⁺ and [Ti(H₂O)₄]³⁺, respectively, are:

1. symmetry allowed and symmetry forbidden.
2. symmetry forbidden and symmetry allowed.
3. symmetry allowed and symmetry allowed.
4. symmetry forbidden and symmetry forbidden.

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Question 27:

A pair of isosteric compounds is:

1. H₂NBH₂ and C₂H₆
2. H₃N-BH₃ and C₂H₆
3. B₂H₆ and C₂H₆
4. H₃N-BH₃ and B₂H₆

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Question 28:

Zn–C bond polarity in the compounds below follows the order:

1. I > II > III
2. III > I > II
3. II > III > I
4. II > I > III

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Question 29:

B₂ and C₂, respectively, are:

1. paramagnetic and diamagnetic.
2. diamagnetic and paramagnetic.
3. paramagnetic and paramagnetic.
4. diamagnetic and diamagnetic.

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Question 30:

Mobility of ions Li⁺, Na⁺, K⁺, Ag⁺ in water at 298 K follows the order:

1. K⁺ < Ag⁺ < Na⁺ < Li⁺
2. Li⁺ < K⁺ < Na⁺ < Ag⁺
3. Ag⁺ < Li⁺ < K⁺ < Na⁺
4. Li⁺ < Na⁺ < Ag⁺ < K⁺

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Question 31:

The suitable synthetic route(s) for the following transformation:

Cyclohexanol → Cyclohexanone

1. (i)para-toluenesulfonyl chloride (TsCl), pyridine; (ii)KI; (iii)Mg/Et₂O; (iv)CO₂; (v)aq. HCl
2. (i)para-toluenesulfonyl chloride (TsCl), pyridine; (ii)KCN; (iii)conc. aq. NaOH, reflux; (iv)aq. HCl
3. (i) CrO₃, H₂SO₄; (ii)SOCl₂; (iii)CH₂N₂; (iv)Ag₂O, H₂O
4. (i)CrO₃, H₂SO₄; (ii)CH₂N₂

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Question 32:

The compound(s) which on reaction with CH₃MgBr followed by treatment with aqueous NH₄Cl would produce 1-methyl-1-phenylethanol as the major product is/are:

1. methyl benzoate.
2. phenyl acetate.
3. acetaldehyde.
4. acetophenone.

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Question 33:

Among the following, the compound(s) which produce the same osazone as that obtained from D-glucose, when reacted with phenylhydrazine, is/are:

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Question 34:

Among the following, the chiral molecule(s) is/are:

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Question 35:

The correct assumption(s) required to derive Langmuir adsorption isotherm is/are:

1. Adsorption is limited to a monolayer on adsorbing surface.
2. All binding sites on adsorbing surface are identical.
3. Adsorption of a molecule on a site enhances binding of other molecules on neighboring sites.
4. Rate of adsorption and rate of desorption are equal at equilibrium.

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Question 36:

For one mole of an ideal gas, the correct statement(s) is/are:

1. (∂U/∂V)_T = 0
2. (∂U/∂T)_V > 0
3. (∂P/∂T)_V > 0
4. (∂V/∂P)_T > 0

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Question 37:

Consider the exothermic chemical reaction: O₂(g)+2H₂(g) = 2H₂O(g) at equilibrium in a closed container. The correct statement(s) is/are:

1. At equilibrium, introduction of catalyst increases product formation.
2. Equilibrium constant decreases with increase in temperature.
3. The equilibrium constant K_p increases with pressure.
4. Decrease in volume of reaction vessel increases product formation.

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Question 38:

Elements and their processes of extraction/purification are given. The correct pair(s) is/are:

1. Na; Downs process
2. Ni; Mond process
3. B; Frasch process
4. Al; Bayer process

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Question 39:

The correct statement(s) about the ligand substitution/exchange reaction is/are:

1. The rate is faster in the case of SF₆ than in [AlF₆]^3-.
2. The rate is faster in the case of [Mg(H₂O)₆]²⁺ than in [Sr(H₂O)₆]²⁺.
3. The rate of water exchange is faster in the case of [Ni(H₂O)₆]²⁺ than in [Co(NH₃)₅(H₂O)]³⁺.
4. The rate is faster in case of [Cr(H₂O)₆]²⁺ than in [Cr(H₂O)₆]³⁺

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Question 40:

The stretching frequency of CO in H₃B·CO is:

1. greater than the stretching frequency in free CO.
2. lesser than the stretching frequency in free CO.
3. lesser than the stretching frequency of CO in Fe(CO)₅.
4. greater than the stretching frequency of CO in Fe(CO)₅.

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Question 41:

For the following compound, the number of signals expected in the ¹H NMR spectrum is:

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Question 42:

Exhaustive hydrogenation of the following compound under Pd/C generates a saturated hydrocarbon as the product. The number of stereoisomers possible for this product is:

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Question 43:

For a zero-order reaction P → Q, the concentration of P becomes half of its initial concentration in 30 minutes after starting the reaction. The concentration of P becomes zero at ______ minutes. (rounded off to the nearest integer)
Correct Answer:

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Question 44:

The magnitude of energy difference between the energy levels n = 3 and n = 2 of a quantum particle of mass m in a box of length L is
(Xh²)/(8mL²)
Then X = ________ (rounded off to the nearest integer)

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Question 45:

The function exp(-2(x - 1)²) attains a maximum at x = ________ (rounded off to the nearest integer)

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Question 46:

0.1 M aqueous solution of a weak monobasic acid has pH 2.0. The pKa of the monobasic acid is ________ (rounded off to one decimal place)

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Question 47:

The enthalpy change for the reaction
C(g) + 1/2O₂(g) → CO(g) is ________ kJ per mole of CO(g) produced.
(rounded off to one decimal place)
[Given:
C(g) + O₂(g) → CO₂(g), ΔH_rxn = -393.5 kJ per mole of CO₂(g) produced
CO₂(g) → CO(g) + 1/2O₂(g), ΔH_rxn = 283.0 kJ per mole of CO(g) produced]

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Question 48:

The N-O bond order in [NO]^- is ________

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Question 49:

The bond length of CO is 113 pm and its dipole moment (μ) is 0.1 D. The charge (in units of electronic charge) on carbon in the CO molecule including its sign is _________

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Question 50:

A reaction of 10.50 g of 1,2-diphenylethane-1,2-dione with conc. NaOH followed by aqueous acidic work-up furnished 8.55 g of a carboxylic acid. The yield of the carboxylic acid in this reaction is _________%.

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Question 51:

The specific rotation of an optically pure compound is +75.3 (c = 1.0 in CHCl₃) at 20°C. A synthetic sample of the same compound showed a specific rotation of +66.3 (c = 1.0 in CHCl₃) at 20°C. The enantiomeric excess (ee) of the synthetic sample is ________%

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Question 52:

The specific rotation of an optically pure compound is +75.3 (c = 1.0 in CHCl₃) at 20°C. A synthetic sample of the same compound showed a specific rotation of +66.3 (c = 1.0 in CHCl₃) at 20°C. The enantiomeric excess (ee) of the synthetic sample is ________%

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Question 53:

A salt QCl of a certain metal Q is electrolyzed to its elements. 40 g of metal Q is formed at an electrode. The volume of Cl₂ formed at the other electrode at 1 atm pressure and 298 K is ________ litres.

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Question 54:

If 1 M of a dye in water transmits 50% of incident light at 400 nm, then 2 M of the dye in water transmits ________% of the incident light at 400 nm.

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Question 55:

A 1.0 L solution is prepared by dissolving 2.0 g of benzoic acid and 4.0 g of sodium benzoate in water. The pH of the resulting solution is ________ Given: Molar mass of benzoic acid is 122 g mol^-1 Molar mass of sodium benzoate is 144 g mol^-1 pKa of benzoic acid is 4.2)

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Question 56:

The total vapour pressure of an ideal binary liquid mixture of benzene and toluene is 0.3 bar. The vapour pressure of pure benzene is 0.5 bar and that of toluene is 0.2 bar. The mole fraction of benzene in this mixture is _________.

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Question 57:

The unit cell of a two-dimensional square lattice with lattice parameter a is indicated by the dashed lines as shown below:

The percentage percent area occupied by the grey circles (of radius r) inside the unit cell is ___________.

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Question 58:

In the oxidation of phosphorus with oxygen, 0.2 mol of P produces ________ g of PO. (Given: Atomic weight of P = 31; Atomic weight of O = 16)

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Question 59:

An element E has three isotopes: ²⁸E (abundance 92.21%, atomic mass = 27.977 a.m.u.), ²⁹E (abundance 4.70%, atomic mass = 28.976 a.m.u.), ³⁰E (abundance 3.09%, atomic mass = 29.974 a.m.u.). The atomic mass of E is ________ a.m.u.

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Question 60:

The wavelength of the γ-ray emitted in ¹³⁷₅₆Ba → ¹³⁷₅₆Ba + γ-ray (0.66 MeV) is ________ Å.

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