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The correct statement(s) related to processes involved in the extraction of metals is(are)

In the following reactions, \( P \), \( Q \), \( R \), and \( S \) are the major products.

The correct statement(s) about \( P \), \( Q \), \( R \), and \( S \) is(are):

Consider the following reaction scheme and choose the correct option(s) for the major products \( Q \), \( R \) and \( S \).

In the scheme given below, \( X \) and \( Y \), respectively, are:

Plotting \( \frac{1}{\Lambda_m} \) against \( c \Lambda_m \) for aqueous solutions of a monobasic weak acid (HX) resulted in a straight line with y-axis intercept of \( P \) and slope of \( S \). The ratio \( P/S \) is:
[\( \Lambda_m = \) molar conductivity, \( \Lambda_m^\circ = \) limiting molar conductivity, \( c = \) molar concentration, \( K_a = \) dissociation constant of HX]

On decreasing the \( \mathrm{pH} \) from \( 7 \) to \( 2 \), the solubility of a sparingly soluble salt \( (\mathrm{MX}) \) of a weak acid \( (\mathrm{HX}) \) increased from \( 10^{-4} \, \mathrm{mol \, L^{-1}} \) to \( 10^{-3} \, \mathrm{mol \, L^{-1}} \). The \( \mathrm{p}K_a \) of \( \mathrm{HX} \) is:

In the given reaction scheme, \( P \) is a phenyl alkyl ether, \( Q \) is an aromatic compound; \( R \) and \( S \) are the major products.

The correct statement about \( S \) is:

The stoichiometric reaction of \( 516 \, \mathrm{g} \) of dimethyldichlorosilane with water results in a tetrameric cyclic product \( X \) in \( 75\% \) yield. The weight \( (\text{in g}) \) of \( X \) obtained is _______.
[Use, molar mass \( (\mathrm{g \, mol^{-1}}) \): \( \mathrm{H} = 1 \), \( \mathrm{C} = 12 \), \( \mathrm{O} = 16 \), \( \mathrm{Si} = 28 \), \( \mathrm{Cl} = 35.5 \)]

A gas has a compressibility factor of \( 0.5 \) and a molar volume of \( 0.4 \, \mathrm{dm^{3} \, mol^{-1}} \) at a temperature of \( 800 \, \mathrm{K} \) and pressure \( x \, \mathrm{atm} \). If it shows ideal gas behaviour at the same temperature and pressure, the molar volume will be \( y \, \mathrm{dm^{3} \, mol^{-1}} \). The value of \( x/y \) is _______.
[Use: Gas constant, \( R = 8 \times 10^{-2} \, \mathrm{L \, atm \, K^{-1} \, mol^{-1}} \)]

The plot of \( \log K_f \) versus \( \dfrac{1}{T} \) for a reversible reaction \( \mathrm{A(g)} \rightleftharpoons \mathrm{P(g)} \) is shown.

Pre-exponential factors for the forward and backward reactions are \( 10^{15} \, \mathrm{s^{-1}} \) and \( 10^{11} \, \mathrm{s^{-1}} \), respectively. If the value of \( \log K \) for the reaction at \( 500 \, \mathrm{K} \) is \( 6 \), the value of \( \left| \log k_b \right| \) at \( 250 \, \mathrm{K} \) is _______.
[\( K = \) equilibrium constant of the reaction, \( k_f = \) rate constant of forward reaction, \( k_b = \) rate constant of backward reaction]

One mole of an ideal monoatomic gas undergoes two reversible processes \(( A \to B \) and \( B \to C \)) as shown in the given figure:

\( A \to B \) is an adiabatic process. If the total heat absorbed in the entire process \(( A \to B \) and \( B \to C \)) is \( RT_2 \ln 10 \), the value of \( 2 \log V_3 \) is _______.
[Use, molar heat capacity of the gas at constant pressure, \( C_{p,m} = \frac{5}{2} R \)]

In a one-litre flask, \( 6 \) moles of \( \mathrm{A} \) undergoes the reaction \( \mathrm{A(g)} \rightleftharpoons \mathrm{P(g)} \). The progress of product formation at two temperatures (in Kelvin), \( T_1 \) and \( T_2 \), is shown in the figure:

If \( T_1 = 2T_2 \) and \( \left( \Delta G_2^\ominus- \Delta G_1^\ominus \right) = RT_2 \ln x \), then the value of \( x \) is _______.
\([ \Delta G_1^\ominus - \Delta G_2^\ominus ]\) are standard Gibb’s free energy change for the reaction at temperatures \( T_1 \) and \( T_2 \), respectively]

The total number of \( \text{sp}^2 \) hybridised carbon atoms in the major product \( P \) (a non-heterocyclic compound) of the following reaction is _______.

Match the reactions (in the given stoichiometry of the reactants) in List-I with one of their products given in List-II and choose the correct option.

Match the electronic configurations in List-I with appropriate metal complex ions in List-II and choose the correct option. [Atomic Number : Fe= 26, Mn = 25, Co= 27]

Match the reactions in List-I with the features of their products in List-II and choose the correct option.

The major products obtained from the reactions in List-II are the reactants for the named reactions mentioned in List-I. Match List-I with List-II and choose the correct option.

JEE Advanced 2023 Paper - 1

Physics Chemistry Mathematics

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The total number of \( \text{sp}^2 \) hybridised carbon atoms in the major product \( P \) (a non-heterocyclic compound) of the following reaction is _______.