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Chemistry

The major product formed in the following reaction is:

Among the following, the conformation that corresponds to the most stable conformation of meso-butane-\( 2, 3 \)-diol is:

For the given close packed structure of a salt made of cation \( X \) and anion \( Y \) shown below (ions of only one face are shown for clarity), the packing fraction is approximately (packing fraction \( = \frac{\text{packing efficiency}}{100} \)).

The calculated spin only magnetic moments of \( [\mathrm{Cr(NH_3)_6}]^{3+} \) and \( [\mathrm{CuF_6}]^{3-} \) in \( \text{BM} \), respectively, are: (Atomic numbers of \( \mathrm{Cr} \) and \( \mathrm{Cu} \) are \( 24 \) and \( 29 \), respectively)

For the following reaction scheme, percentage yields are given along the arrow:

\( x \; \text{g} \) and \( y \; \text{g} \) are mass of \( R \) and \( U \), respectively.
(Use: Molar mass (in \( \text{g mol}^{-1} \)) of \( \mathrm{H} \), \( \mathrm{C} \) and \( \mathrm{O} \) as \( 1 \), \( 12 \) and \( 16 \), respectively)
The value of \( x \) is ____.

For the following reaction scheme, percentage yields are given along the arrow:

\( x \) \( \text{g} \) and \( y \) \( \text{g} \) are mass of \( R \) and \( U \), respectively.
(Use: Molar mass (in \( \text{g mol}^{-1} \)) of \( \mathrm{H} \), \( \mathrm{C} \) and \( \mathrm{O} \) as \( 1 \), \( 12 \) and \( 16 \), respectively)
The value of \( y \) is ______.

For the reaction, $X\text{ (s)} \rightleftharpoons Y\text{ (s)} + Z\text{ (g)}$, the plot of $\ln \frac{p_Z}{p^{\phi}}$ versus $\frac{10^4}{T}$ is given below (in solid line), where $p_Z$ is the pressure (in bar) of the gas $Z$ at temperature $T$ and $p^{\phi} = 1\text{ bar}$.

(Given, $\frac{\text{d}(\ln K)}{\text{d}\left(\frac{1}{T}\right)} = -\frac{\Delta H^{\phi}}{R}$, where the equilibrium constant, $K = \frac{p_Z}{p^{\phi}}$ and gas constant, $R = 8.314\text{ J K}^{-1}\text{ mol}^{-1}$)

The value of standard enthalpy, $\Delta H^{\phi}$ (in $\text{kJ mol}^{-1}$) for the given reaction is _______.

For the reaction, $X\text{ (s)} \rightleftharpoons Y\text{ (s)} + Z\text{ (g)}$, the plot of $\ln \frac{p_Z}{p^{\phi}}$ versus $\frac{10^4}{T}$ is given below (in solid line), where $p_Z$ is the pressure (in bar) of the gas $Z$ at temperature $T$ and $p^{\phi} = 1\text{ bar}$.

(Given, $\frac{\text{d}(\ln K)}{\text{d}\left(\frac{1}{T}\right)} = -\frac{\Delta H^{\phi}}{R}$, where the equilibrium constant, $K = \frac{p_Z}{p^{\phi}}$ and gas constant, $R = 8.314\text{ J K}^{-1}\text{ mol}^{-1}$)

The value of $\Delta S^{\phi}$ (in $\text{J K}^{-1}\text{ mol}^{-1}$) for the given reaction, at $1000\text{K}$ is _______.

The boiling point of water in a \( 0.1 \) molal silver nitrate solution (solution \( A \)) is \( x^\circ \mathrm{C} \). To this solution \( A \), an equal volume of \( 0.1 \) molal aqueous barium chloride solution is added to make a new solution \( B \). The difference in the boiling points of water in the two solutions \( A \) and \( B \) is \( y \times 10^{-2} \, ^\circ \mathrm{C} \). (Assume: Densities of the solutions \( A \) and \( B \) are the same as that of water and the soluble salts dissociate completely. Use: Molal elevation constant (Ebullioscopic Constant), \( K_b = 0.5 \, \text{K kg mol}^{-1} \); Boiling point of pure water as \( 100^\circ \mathrm{C} \).)

The value of \( x \) is ______.

The boiling point of water in a \( 0.1 \) molal silver nitrate solution (solution A) is \( x^\circ \, \text{C} \). To this solution A, an equal volume of \( 0.1 \) molal aqueous barium chloride solution is added to make a new solution B. The difference in the boiling points of water in the two solutions A and B is \( y \times 10^{-2} \, ^\circ \text{C} \).
(Assume : Densities of the solutions A and B are the same as that of water and the soluble salts dissociate completely. Use : Molal elevation constant (Ebullioscopic Constant), \( K_b = 0.5 \, \text{K kg mol}^{-1} \); Boiling point of pure water as \( 100^\circ \text{C} \).)
The value of \( |y| \) is ______.

Given:

The compound(s), which on reaction with \( \text{HNO}_3 \) will give the product having degree of rotation, \( [\alpha]_D = -52.7^\circ \), is(are):

The reaction of Q with \( \text{PhSNa} \) yields an organic compound (major product) that gives positive Carius test on treatment with \( \text{Na}_2\text{O}_2 \) followed by addition of \( \text{BaCl}_2 \). The correct option(s) for Q is(are):

The correct statement(s) related to colloids is(are):

An ideal gas undergoes a reversible isothermal expansion from state \( \text{I} \) to state \( \text{II} \) followed by a reversible adiabatic expansion from state \( \text{II} \) to state \( \text{III} \). The correct plot(s) representing the changes from state \( \text{I} \) to state \( \text{III} \) is(are): \( (p : \text{pressure}, \; V : \text{volume}, \; T : \text{temperature}, \; H : \text{enthalpy}, \; S : \text{entropy}) \)

The correct statement(s) related to the metal extraction processes is(are):

A mixture of two salts is used to prepare a solution \( S \), which gives the following results:
$ \text{White precipitate(s) only} \xleftarrow[\text{Room temperature}]{\text{Dilute NaOH (aq.)}} \begin{matrix} \text{S} \\ \text{(aq. solution} \\ \text{of the salts)} \end{matrix} \xrightarrow[\text{Room temperature}]{\text{Dilute HCl (aq.)}} \text{White precipitate(s) only} $
The correct option(s) for the salt mixture is(are):

The maximum number of possible isomers (including stereoisomers) which may be formed on mono-bromination of \( 1 \)-methylcyclohex-\( 1 \)-ene using \( \text{Br}_2 \) and UV light is \( \_\_\_\_\_ \).

In the reaction given below, the total number of atoms having \( \text{sp}^2 \) hybridization in the major product \( P \) is \( \_\_\_\_\_ \).

The total number of possible isomers for \( [\text{Pt}(\text{NH}_3)_4\text{Cl}_2]\text{Br}_2 \) is \( \_\_\_\_\_ \).

JEE Advanced 2021 Paper - 1

Physics Chemistry Mathematics

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The correct statement(s) related to the metal extraction processes is(are):