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An ideal gas \( (0.5 \; \text{mol}) \), initially at \( 2 \; \text{bar} \) pressure, is compressed at a constant temperature of \( 600 \; \text{K} \) in two steps: first, against a constant external pressure of \( P \; \text{bar} \) \( (2 < P < 8) \), and then against constant external pressure of \( 8 \; \text{bar} \). At each step, the compression is stopped only when the pressure of the gas becomes equal to the external pressure. The total work done on the gas in these steps is \( W \). Considering all possible values of \( P \) \( (2 < P < 8) \) and taking the gas constant as \( R \) (in \( \text{J K}^{-1}\text{mol}^{-1} \)), the minimum value of \( |W| \) (in \( \text{J} \)) is:

For a reversible reaction \( R \rightleftharpoons P \), at constant temperature, both the forward and the backward reactions are first order elementary reactions with rate constants \( k_f \) and \( k_b \), respectively. At time zero, the concentration of \( R \) is \( [R]_0 \) and the concentration of \( P \) is zero. At any given time, \( [R] \) and \( [P] \) are the concentrations of \( R \) and \( P \), respectively. If \( k_b = 4k_f \), the correct graphical representation of the reaction is:

The correct order of dipole moments for the given species is:

Considering \( \mathrm{LiBH_4} \) reduces an ester group to the corresponding alcohol and does not reduce a carboxylic acid group, the correct statement about the major products \( P \), \( Q \), \( R \) and \( S \) is:

The \( 2s \) and the \( 2p \) orbital energies of hydrogen atom are \( E_{2s}(\mathrm{H}) \) and \( E_{2p}(\mathrm{H}) \), respectively. The \( 2s \) and the \( 2p \) orbital energies of lithium atom are \( E_{2s}(\mathrm{Li}) \) and \( E_{2p}(\mathrm{Li}) \), respectively. The correct option(s) about the orbital energies is(are):

Correct statement(s) about the compounds \( X \), \( Y \) and \( Z \) is(are):

Reaction of \( \mathrm{PtF_6} \) with oxygen \( (\mathrm{O_2}) \) gas results in the formation of an ionic compound, \( X^+Y^- \). Correct statement(s) is(are):

In the following reaction sequence, \( Q \), \( R \), \( S \) and \( T \) are the major products.

The correct statement(s) about Q, R, S and T is(are)

Two cylinders, both fitted with frictionless pistons, are filled with mixtures of He and Ar gases. In the first cylinder, the masses of He and Ar are \( m_1 \) and \( m_2 \), respectively. In the second cylinder, the masses of He and Ar are \( m_2 \) and \( m_1 \), respectively. The molar mass of Ar is \( 10 \) times the molar mass of He. The external pressure applied by the piston on the first cylinder needs to be \( 5 \) times that on the second cylinder so that the volume of the gas mixtures in both the cylinders are equal at the same temperature. Assuming He and Ar behave like ideal gases, the value of \( (m_1/m_2) \) is _____.

The total number of all possible isomers for the square planar complex with formula \( \mathrm{K[M(NCS)(NO_2)(gly)]} \) is ______.
(\( \mathrm{M} = \) metal ion and \( \mathrm{gly} = \mathrm{NH_2CH_2COO^-} \))

The sum of total number of carbonyl groups \( (> \mathrm{C} = \mathrm{O}) \) present in the major products \( X \) and \( Y \) in the following reactions is _____.

Treatment of buta-\( 1,3 \)-diyne with \( \mathrm{NaNH_2} \) (\( 2 \) equivalents), followed by reaction with excess of trans–\( \mathrm{CH_3-CH=CH-CH_2-Br} \) gives \( X \) as the major product. The maximum number of carbon atoms that are collinear (in a straight line) in \( X \) is ______.

List-I contains various physical/chemical processes, and List-II contains combinations of changes in enthalpy (\( \Delta H \)) and entropy (\( \Delta S \)). Match each entry in List-I to the appropriate entry in List-II, and choose the correct option.

Consider the following species:
\( \mathrm{SOCl_2}, \ \mathrm{XeOF_4}, \ \mathrm{ClF_3}, \ \mathrm{ClF_5}, \ \mathrm{XeF_5^+}, \ \mathrm{SO_3^{2-}}, \ \mathrm{XeF_3^+}, \ \mathrm{SF_4} \)
List-I contains different molecular shapes and List-II contains total number of species with the same molecular shapes from the given species. Match each entry in List-I with the appropriate entry in List-II and choose the correct option.

The List-II contains products obtained from the reaction of compounds in List-I with \( \mathrm{O_3} / \mathrm{Zn} - \mathrm{H_2O} \) followed by cyclization (via more stable enolate) in the presence of aqueous \( \mathrm{NaOH} \).
Match each entry in List-I with appropriate entry in List-II and choose the correct option.

Match the major products obtained in the reactions given in List-I with the corresponding structures in List-II and choose the correct option.

JEE Advanced 2026 Paper - 1

Physics Chemistry Mathematics

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The correct order of dipole moments for the given species is: