IIT JAM 2025 Chemistry Question Paper Available Download Solution PDF with Answer Key

Maximum value of the function \( f(r) = r^2 e^{-r} \), when \( 0 < r < \infty \) is

• (A) \( 4 e^{-2} \)
• (B) \( e^{-1} \)
• (C) \( 2 e^{-\sqrt{2}} \)
• (D) \( 4 e^{-\sqrt{2}} \)

Consider 10 balls each having different colors including a blue ball. If 6 balls are selected randomly, the probability of the blue ball being selected is

• (A) 0.3
• (B) 0.4
• (C) 0.6
• (D) 0.8

Sulfide ores are concentrated by

• (A) froth floatation
• (B) smelting
• (C) roasting
• (D) reduction

Crystal system with the unit cell parameters \( a = b \neq c \) and \( \alpha = \beta = \gamma = 90^\circ \) is

• (A) monoclinic
• (B) orthorhombic
• (C) tetragonal
• (D) hexagonal

The correct trend of acidity of the ions is

• (A) \( [Fe(H_2O)_6]^{2+} \) > \( [Fe(H_2O)_6]^{3+} \) > \( [Al(H_2O)_6]^{3+} \)
• (B) \( [Al(H_2O)_6]^{3+} \) > \( [Fe(H_2O)_6]^{3+} \) > \( [Fe(H_2O)_6]^{2+} \)
• (C) \( [Fe(H_2O)_6]^{2+} \) > \( [Al(H_2O)_6]^{3+} \) > \( [Fe(H_2O)_6]^{3+} \)
• (D) \( [Fe(H_2O)_6]^{3+} \) > \( [Fe(H_2O)_6]^{2+} \) > \( [Al(H_2O)_6]^{3+} \)

Dissolution of SbF\(_5\) in BrF\(_3\) produces

• (A) BrF\(_5\) and SbF\(_3\)
• (B) BrF and SbF\(_7\)
• (C) [BrF\(_2\)]\(^{+}\) [SbF\(_6\)]\(^{-}\)
• (D) [SbF\(_4\)]\(^{+}\) [BrF\(_4\)]\(^{-}\)

The molecular structure of table sugar is

The product formed when (R)-2-bromopropionic acid is treated with low concentration of hydroxide ion is

• (A) predominantly of S configuration
• (B) predominantly of R configuration
• (C) a racemic mixture
• (D) achiral

A system having Hamiltonian \( \hat{H} \) follows the eigenvalue equation, \( \hat{H} \psi_n = E_n \psi_n \), with \[ E_n = \left(n + \frac{1}{2}\right) \]
If the state of the system is prepared as, \[ \Psi = N(\psi_1 + \psi_2 + \psi_3 - \psi_4 - \psi_5), \]
where N is the normalization constant, then the expectation value of energy is

• (A) -0.5
• (B) -2.5
• (C) 3.5
• (D) 17.5

The figures (I, II, III) given below schematically represent variation of surface tension of three different aqueous solutions with increasing concentration of each of the solutes (surfactant, sodium chloride, and n-propanol). Match the figures with appropriate solutes and choose the correct option.
 

• (A) I – surfactant, II – sodium chloride, III – n-propanol
• (B) I – sodium chloride, II – n-propanol, III – surfactant
• (C) I – surfactant, II – n-propanol, III – sodium chloride
• (D) I – n-propanol, II – sodium chloride, III – surfactant

The correct option for \( x \) which satisfies the following equation is 

• (A) \( 3 \pm \sqrt{5} \)
• (B) \( \frac{3 \pm \sqrt{5}}{2} \)
• (C) \( 2(3 \pm \sqrt{5}) \)
• (D) \( 3 \pm 2\sqrt{5} \)

The type of carboxypeptidase metalloenzyme and the metal ion present in it, respectively, are

• (A) hydrolase and Zn(II)
• (B) isomerase and Zn(II)
• (C) hydrolase and Cu(II)
• (D) isomerase and Cu(II)

The biomolecule that does NOT contain iron is

• (A) cytochromes
• (B) hemocyanin
• (C) hydrogenases
• (D) hemerythrin

Hydrolysis of P\(_4\)O\(_{10}\) produces a compound R, which on heating above 320°C yields a compound S. The compounds R and S, respectively, are

• (A) H\(_3\)PO\(_4\) and (HPO\(_3\))\(_n\)
• (B) H\(_3\)PO\(_4\) and (HPO\(_3\))\(_n\)
• (C) H\(_3\)PO\(_4\) and H\(_4\)P\(_2\)O\(_7\)
• (D) H\(_3\)PO\(_3\) and H\(_4\)P\(_2\)O\(_7\)

Ion-dipole interactions vary with distance (r) as

• (A) \( \frac{1}{r} \)
• (B) \( \frac{1}{r^2} \)
• (C) \( \frac{1}{r^4} \)
• (D) \( \frac{1}{r^6} \)

In the following transformation, the number of \( \alpha \) and \( \beta \) particles emitted, respectively, are
\[ \begin{matrix} ^{223}_{88}Ra & \xrightarrow{} & ^{207}_{82}Pb \end{matrix} \]

• (A) 4, 2
• (B) 4, 3
• (C) 2, 4
• (D) 3, 4

Wilkinson’s catalyst contains

• (A) ruthenium(I) in square planar geometry
• (B) ruthenium(I) in tetrahedral geometry
• (C) rhodium(I) in square planar geometry
• (D) rhodium(I) in tetrahedral geometry

The major product of the following transformation is

The major products P and Q of the following transformations are
 

The correct order of the rate of mononitration using conc. H\(_2\)SO\(_4\)/conc. HNO\(_3\) at room temperature is

Pericyclic reactions involved in the synthesis of Vitamin D\(_2\) from Ergosterol are

• (A) 6 \( \pi \) electrocyclic ring opening followed by [1,7] sigmatropic shift
• (B) [1,5] sigmatropic shift followed by 6 \( \pi \) electrocyclic ring opening
• (C) [3,3] sigmatropic rearrangement followed by [1,7] sigmatropic shift
• (D) 4 \( \pi \) electrocyclization followed by 6 \( \pi \) electrocyclic ring opening

The major product in the following reaction sequence is
 

An organic compound P (C\(_8\)H\(_16\)) produces a meso compound upon oxidation with OsO\(_4\)/NMO. The compound P is

• (A) (E)-4-octene
• (B) (Z)-4-octene
• (C) (E)-3-octene
• (D) (Z)-3-octene

The correct order of the dipole moment among the following is

• (A) fluoromethane > methanol > chloromethane > dimethylether
• (B) fluoromethane > chloromethane > methanol > dimethylether
• (C) chloromethane > fluoromethane > methanol > dimethylether
• (D) chloromethane > fluoromethane > dimethylether > methanol

The major products P and Q of the following reactions are
 

A vessel contains 1 mol of gas A and 2 mol of gas B at 2 bar and 25°C. The gas mixture is compressed such that the final pressure becomes 3 bar without any change in temperature. Considering ideal gas behaviour, the change in Gibbs free energy (in kJ) during the compression is closest to

• (A) 1
• (B) 3
• (C) 6
• (D) 9

The substances, A, B and C undergo chemical reactions according to the scheme given below.
\[ A \xrightarrow{k} B \xrightarrow{2k} C, \quad A \xrightarrow{3k} C \]
At time \( t = 0 \), the [A] = 0.11 M. Considering them to be first order reactions, the concentration of B (in M) at equilibrium is

• (A) 0.06
• (B) 0.03
• (C) 0.02
• (D) 0.05

For van der Waals gases, at the critical point, \( \frac{dP}{dV_m} = 0 \) and

• (A) \( \frac{d^2 P}{dV_m^2} = 0 \)
• (B) \( \frac{d^2 P}{dV_m^2} < 0 \)
• (C) \( \frac{d^2 P}{dV_m^2} > 0 \)
• (D) \( \frac{d^2 P}{dV_m^2} \) diverges

The set of asymmetric top molecules is

• (A) CH\(_3\)CN, CH\(_3\)OH, H\(_2\)CO
• (B) H\(_2\)O, H\(_2\)CO, CH\(_3\)CN
• (C) H\(_2\)O, CH\(_3\)CN, CH\(_3\)OH
• (D) CH\(_3\)OH, H\(_2\)O, H\(_2\)CO

Consider Langmuir adsorption of a gas on a uniform solid surface having N number of surface sites. The free and adsorbed gas molecules are in dynamic equilibrium. If the fractional surface coverage is \( \theta \), the rate of adsorption of the gas is proportional to

• (A) \( N\theta \)
• (B) \( N(1 - \theta) \)
• (C) \( N \left( \frac{\theta}{1 - \theta} \right) \)
• (D) \( N \left( \frac{1}{1 - \theta} \right) \)

According to VSEPR theory, the set(s) of species having trigonal bipyramidal geometry is(are)

• (A) PCl\(_5\) and SF\(_4\)
• (B) ClF\(_3\) and I\(^-\)
• (C) PCl\(_5\) and Sb(Ph)\(_5\)
• (D) ClF\(_3\) and BrF\(_5\)

In alkaline medium, which of the following metal ion(s) form(s) red precipitate/coloration with dimethylglyoxime?

• (A) Ni(II)
• (B) Bi(III)
• (C) Zn(II)
• (D) Fe(II)

The correct statement(s) about the octahedral Mn-complex with spin only magnetic moment of approximately 6.0 \( \mu_B \) is(are)

• (A) Possible oxidation state of Mn in the complex is +4
• (B) Possible oxidation state of Mn in the complex is +2
• (C) Ligands associated with the complex is strong field ligand
• (D) Ligands associated with the complex is weak field ligand

For \([Mn(CO)_6]^{+}\) and \([V(CO)_6]^{-}\) complexes, the correct statement(s) is(are)

• (A) Stretching frequency of the CO is higher in the Mn-complex
• (B) Metal-carbonyl bond is stronger in the V-complex
• (C) Mn-complex does not obey 18e\(^-\) rule
• (D) V-complex obeys 18e\(^-\) rule

The product(s) in the following transformation is(are)
 

The set(s), in which all the compounds yield achiral products upon treatment with CH\(_3\)MgBr followed by hydrolysis with dilute mineral acid, is(are)

• (A) 3,4-epoxyhexane, cyclohexanone, and butanone
• (B) ethyl propionate, phenylacetyl chloride, and cyclohexanone
• (C) butanone, ethyl propionate, and cyclohexanone
• (D) ethyl phenyl ketone, 3,4-epoxyhexane, and phenylacetyl chloride

The reaction(s) that will yield cyclic product is(are)

• (A) (E)-2-hexene with CH\(_2\)I\(_2\)/Zn-Cu
• (B) 2-butanone with ethyl 2-chloropropionate with NaOEt/EtOH
• (C) hexane-2,5-dione with ammonia
• (D) cyclohexane-1,2-diol with NaIO\(_4\)

The correct statement(s) among the following is(are)

• (A) In natural nucleic acids, the nucleosides are linked through phosphodiester bonds
• (B) Natural nucleic acids have sulfur-containing heterocyclic bases
• (C) The isoelectric point of arginine is higher than that of isoleucine
• (D) The molecular weight of guanine is higher than that of cytosine

Among the following, the correct condition(s) for spontaneity is(are)

• (A) \(\left( \Delta G_{sys} \right)_{P,T} < 0\)
• (B) \(\left( \Delta A_{sys} \right)_{V,T} < 0\)
• (C) \(\left( \Delta H_{sys} \right)_{P,S} < 0\)
• (D) \(\left( \Delta U_{sys} \right)_{V,P} < 0\)

Correct statement(s) with respect to defects in solids is(are)

• (A) In Schottky defect, atoms move from interior lattice sites to surface lattice sites
• (B) Equilibrium concentration of defects remain unchanged with change in temperature
• (C) A perfect solid is thermodynamically less stable than the solid with defects
• (D) Common point defects in pure alkali halides are Frenkel-type

\[ \int_0^\infty x e^{-x} dx = ............... \]
(round off to the nearest integer)

Consider \( \mathbf{C} = \mathbf{A} \times \mathbf{B} \), where \( \mathbf{A} = 3\hat{i} - 2\hat{j} + 5\hat{k} \) and \( \mathbf{B} \) is a unit vector in the \( xy \)-plane, making an angle of 37° with the \( x \)-axis. The projection of \( \mathbf{C} \) on the \( x \)-axis is ................
(round off to one decimal place)

A yellow compound X is produced after the reaction of \( K_2[Ni(CN)_4] \) with excess of \( K/liq. NH_3 \) at -33°C. The oxidation state of Ni in the compound X is ..........

Number of spin allowed transition(s) possible for \( d^2 \) octahedral configuration is .............

Number of \( ^1H \) NMR signals observed for the following compound is .............

The number of stereoisomers possible for the following compound is ..............

An electron at rest is accelerated through 10 kV potential. The de Broglie wavelength (in \AA) of the electron is .............

A tube fitted with a semipermeable membrane is dipped into 0.001 M NaCl solution at 300 K as shown in the figure. Assume density of the solvent and solution are the same. At equilibrium, the height of the liquid column \( h \) (in cm) is .........

The resonance frequency of \( ^1H \) nuclei is 300 MHz in an NMR spectrometer. If the spectrometer is operated at 12 T magnetic field, the resonance frequency (in MHz) of the same \( ^1H \) nuclei is ..................

The first rotational absorption of \(^{12}C^{16}O\) molecule is observed at 3.84 cm\(^{-1}\). If an isotopic substitution is made with \(^{18}O\) in the molecule, the frequency (in cm\(^{-1}\)) of first rotational absorption is ...............

If \( y + x e^y = \sin x + \tan x \), then the value of \( \frac{dy}{dx} \) at \( x = 0 \) is ...................

Consider the following matrices A and B.

If \( C = AB \), the sum of the diagonal elements of \( C \) is ..............

The number of species among the following, having bond order of three is ............. \[ N_2, F_2, NO^+, O_2^-, N_2^+, CO, O_2, O_2^{2-} \]

1.84 g of a mixture of CaCO\(_3\) and MgCO\(_3\) is heated till no further weight loss. The weight of the residue is 0.96 g. The % composition of CaCO\(_3\) in the mixture is ................. \[ (round off to two decimal places) \]
[Given: Atomic weight of Ca = 40; Mg = 24; C = 12; O = 16]

The number of chiral carbon centers in the following molecule is ...............
 

One mole of a monoatomic ideal gas starting from state A, goes through B and C to state D, as shown in the figure. Total change in entropy (in J K\(^{-1}\)) during this process is ...............
 

In one second, 95 moles of He gas particles are hitting a wall of a cubic container of volume 1 dm\(^3\). If the average velocity component of the particles perpendicular to the wall is 1000 m s\(^{-1}\), then the pressure of the gas in the container is \( X \times 10^5 \, N m^{-2} \). The value of \( X \) is ...............

Solubility of PbCO\(_3\) in a buffer of pH 5 is \( X \times 10^{-4} \). The value of \( X \) is ..............................

The molar conductivity of a 0.02 M weak acid HA is 3.2 mS m\(^2\) mol\(^{-1}\) at 298 K. The \( pK_a \) of HA is ....................

A cell is constructed by Cl\(_2\)/Cl\(^-\)(aq) and a standard hydrogen electrode half-cells. The standard potential of the complete cell is 1.38 V and \( \left(\frac{\partial E^0}{\partial T}\right)_P = -1.24 \, mV K^{-1} \).
The \( \Delta S^0_{reaction} \) (in J K\(^{-1}\) mol\(^{-1}\)) for the following cell reaction is ..................
\[ H_2 (g) + Cl_2 (g) \rightarrow 2 H^+ (aq) + 2 Cl^-(aq) \]