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Concentration of \( \mathrm{H_2SO_4} \) and \( \mathrm{Na_2SO_4} \) in a solution is \( 1 \, \text{M} \) and \( 1.8 \times 10^{-2} \, \text{M} \), respectively. Molar solubility of \( \mathrm{PbSO_4} \) in the same solution is \( X \times 10^{-Y} \, \text{M} \) (expressed in scientific notation). The value of \( Y \) is ________.
(Given: Solubility product of \( \mathrm{PbSO_4} \) \( (K_{sp}) = 1.6 \times 10^{-8} \). For \( \mathrm{H_2SO_4} \), \( K_{a_1} \) is very large and \( K_{a_2} = 1.2 \times 10^{-2} \))

An aqueous solution is prepared by dissolving \( 0.1 \) mol of an ionic salt in \( 1.8 \) kg of water at \( 35^\circ \text{C} \). The salt remains \( 90\% \) dissociated in the solution. The vapour pressure of the solution is \( 59.724 \, \text{mm of Hg} \). Vapor pressure of water at \( 35^\circ \text{C} \) is \( 60.000 \, \text{mm of Hg} \). The number of ions present per formula unit of the ionic salt is _______.

Consider the strong electrolytes \( \mathrm{Z_m X_n} \), \( \mathrm{U_m Y_p} \) and \( \mathrm{V_m X_n} \). Limiting molar conductivity \( \left(\Lambda^0\right) \) of \( \mathrm{U_m Y_p} \) and \( \mathrm{V_m X_n} \) are \( 250 \) and \( 440 \) \( \text{S cm}^2 \text{mol}^{-1} \) respectively. The value of \( (M+n+P) \) is _______.
Given:

\( \lambda^0 \) is the limiting molar conductivity of ions
The plot of molar conductivity \( (\Lambda) \) of \( \mathrm{Z_m X_n} \) vsc\( ^{1/2} \) is given below.

The reaction of \( \mathrm{Xe} \) and \( \mathrm{O_2F_2} \) gives a Xe compound \( \mathrm{P} \). The number of moles of \( \mathrm{HF} \) produced by the complete hydrolysis of \( 1 \) mol of \( \mathrm{P} \) is _______.

Thermal decomposition of \( \mathrm{AgNO_3} \) produces two paramagnetic gases. The total number of electrons present in the antibonding molecular orbitals of the gas that has the higher number of unpaired electrons is _______.

The number of isomeric tetraenes (NOT containing \( sp \)-hybridized carbon atoms) that can be formed from the following reaction sequence is _______.

The number of \( -\mathrm{CH}_2- \) (methylene) groups in the product formed from the following reaction sequence is _______.

The total number of chiral molecules formed from one molecule of \( P \) on complete ozonolysis \( (\mathrm{O_3,\,Zn/H_2O}) \) is _______.

To check the principle of multiple proportions, a series of pure binary compounds \( (\text{P}_m\text{Q}_n) \) were analyzed and their composition is tabulated below. The correct option(s) is(are)

The correct option(s) about entropy \( (S) \) is(are)

The compound(s) which react(s) with \( \mathrm{NH_3} \) to give boron nitride \( (\mathrm{BN}) \) is(are):

The correct option(s) related to the extraction of iron from its ore in the blast furnace operating in the temperature range \( 900 - 1500 \, \mathrm{K} \) is(are):

Considering the following reaction sequence, the correct statement(s) is(are):

Among the following, the correct statement(s) about polymers is(are):

Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in \( \% \)) of the resultant solid is closest to

The reaction of \( \mathrm{HClO_3} \) with \( \mathrm{HCl} \) gives a paramagnetic gas, which upon reaction with \( \mathrm{O_3} \) produces.

The reaction of \( \mathrm{Pb(NO_3)_2} \) and \( \mathrm{NaCl} \) in water produces a precipitate that dissolves upon the addition of \( \mathrm{HCl} \) of appropriate concentration. The dissolution of the precipitate is due to the formation of:

Treatment of D-glucose with aqueous \( \mathrm{NaOH} \) results in a mixture of monosaccharides, which are:

JEE Advance 2022 Paper -2

Physics Chemistry Mathematics

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Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in \( \% \)) of the resultant solid is closest to