JEE Main 2024 Apr 5 Shift 2 — Chemistry

The number of moles of methane required to produce $11 \mathrm{~g} \mathrm{~CO_2(g)}$ after complete combustion is : (Given molar mass of methane in $\mathrm{g} \mathrm{~mol}^{-1}$ : 16)

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : $\mathrm{NH_3}$ and $\mathrm{NF_3}$ molecule have pyramidal shape with a lone pair of electrons on nitrogen atom. The resultant dipole moment of $\mathrm{NH_3}$ is greater than that of $\mathrm{NF_3}$.

Reason (R) : In $\mathrm{NH_3}$, the orbital dipole due to lone pair is in the same direction as the resultant dipole moment of the $\mathrm{N-H}$ bonds. F is the most electronegative element.

In the light of the above statements, choose the correct answer from the options given below :

Given below are two statements :

Statement I : On passing $\mathrm{HCl_{(g)}}$ through a saturated solution of $\mathrm{BaCl_2}$, at room temperature white turbidity appears.

Statement II : When HCl gas is passed through a saturated solution of NaCl, sodium chloride is precipitated due to common ion effect.

In the light of the above statements, choose the most appropriate answer from the options given below :

For the electro chemical cell

$$\mathrm{M | M^{2+} \| X | X^{2-}}$$

If $\mathrm{E^0_{(M^{2+}/M)}} = 0.46 \mathrm{~V}$ and $\mathrm{E^0_{(X/X^{2-})}} = 0.34 \mathrm{~V}$.

Which of the following is correct ?

The quantity of silver deposited when one coulomb charge is passed through $\mathrm{AgNO_3}$ solution :

Given below are two statements :

Statement I : The metallic radius of Na is $1.86 \mathrm{~\mathring{A}}$ and the ionic radius of $\mathrm{Na^+}$ is lesser than $1.86 \mathrm{~\mathring{A}}$.

Statement II : Ions are always smaller in size than the corresponding elements.

In the light of the above statements, choose the correct answer from the options given below :

Match List - I with List - II.

List - I	List - II
(A) $\mathrm{ICl}$	(I) T - shape
(B) $\mathrm{ICl_3}$	(II) Square pyramidal
(C) $\mathrm{ClF_5}$	(III) Pentagonal bipyramidal
(D) $\mathrm{IF_7}$	(IV) Linear

Choose the correct answer from the options given below :

The correct statements from the following are :

(A) The decreasing order of atomic radii of group 13 elements is $\mathrm{Tl > In > Ga > Al > B}$.

(B) Down the group 13 electronegativity decreases from top to bottom.

(C) Al dissolves in dil. HCl and liberates $\mathrm{H_2}$ but conc. $\mathrm{HNO_3}$ renders Al passive by forming a protective oxide layer on the surface.

(D) All elements of group 13 exhibits highly stable $+1$ oxidation state.

(E) Hybridisation of Al in $\mathrm{[Al(H_2O)_6]^{3+}}$ ion is $\mathrm{sp^3d^2}$.

Choose the correct answer from the options given below :

The number of ions from the following that have the ability to liberate hydrogen from a dilute acid is ________.

$\mathrm{Ti^{2+}}$, $\mathrm{Cr^{2+}}$ and $\mathrm{V^{2+}}$

The metal atom present in the complex MABXL (where A, B, X and L are unidentate ligands and M is metal) involves $\mathrm{sp^3}$ hybridization. The number of geometrical isomers exhibited by the complex is :

The number of complexes from the following with no electrons in the $\mathrm{t_2}$ orbital is ________.

$\mathrm{TiCl_4}$, $\mathrm{[MnO_4]^-}$, $\mathrm{[FeO_4]^{2-}}$, $\mathrm{[FeCl_4]^-}$, $\mathrm{[CoCl_4]^{2-}}$

While preparing crystals of Mohr's salt, dil $\mathrm{H_2SO_4}$ is added to a mixture of ferrous sulphate and ammonium sulphate, before dissolving this mixture in water, dil $\mathrm{H_2SO_4}$ is added here to :

The correct nomenclature for the following compound is :

a seven-carbon chain bearing a $-\mathrm{COOH}$ group and a $-\mathrm{CHO}$ group on C-2, an $-\mathrm{OH}$ group on C-4, and a terminal $\mathrm{CH_2{=}CH-}$ double bond at the chain end; i.e. $\mathrm{CH_2{=}CH-CH_2-CH(OH)-CH_2-CH(CHO)-COOH}$

Match List - I with List - II.

List - I (Pair of Compounds)	List - II (Isomerism)
(A) n-propanol and Isopropanol	(I) Metamerism
(B) Methoxypropane and ethoxyethane	(II) Chain Isomerism
(C) Propanone and propanal	(III) Position Isomerism
(D) Neopentane and Isopentane	(IV) Functional Isomerism

Choose the correct answer from the options given below :

Identify A and B in the given chemical reaction sequence :

benzene $\xrightarrow{\text{succinic anhydride, } \mathrm{AlCl_3}}$ A $\xrightarrow[\mathrm{HCl}

{\mathrm{Zn-Hg}}$B$\xrightarrow{\mathrm{H^+}}$3,4-dihydronaphthalen-1(2H)-one ($\alpha$-tetralone)]*

Which one of the following reactions is NOT possible ?

Identify the major product in the following reaction.

1-bromo-1-methylcyclopentane $\xrightarrow[\mathrm{C_2H_5OH}

{\bar{\mathrm{O}}\mathrm{H}}$ Major Product]*

$$\mathrm{CH_3CH_2{-}OH} \xrightarrow[\substack{\text{(ii) } \mathrm{KMnO_4} \\ \text{(iii) } \mathrm{NaOH, CaO, \Delta}}]{\text{(i) Jone's Reagent}} \mathrm{P}$$

Consider the above reaction sequence and identify the major product P.

Consider the given chemical reaction :

cyclohexene $\xrightarrow[\text{Heat}

{\mathrm{KMnO_4 - H_2SO_4}}$ Product "A"]*

Product "A" is :

Coagulation of egg, on heating is because of :

In an atom, total number of electrons having quantum numbers $n = 4$, $|m_l| = 1$ and $m_s = -\frac{1}{2}$ is ________.

Number of compounds from the following with zero dipole moment is ________.

$\mathrm{HF}$, $\mathrm{H_2}$, $\mathrm{H_2S}$, $\mathrm{CO_2}$, $\mathrm{NH_3}$, $\mathrm{BF_3}$, $\mathrm{CH_4}$, $\mathrm{CHCl_3}$, $\mathrm{SiF_4}$, $\mathrm{H_2O}$, $\mathrm{BeF_2}$

Combustion of 1 mole of benzene is expressed at

$$\mathrm{C_6H_6(l) + \frac{15}{2} O_2(g) \rightarrow 6\,CO_2(g) + 3\,H_2O(l)}.$$

The standard enthalpy of combustion of 2 mol of benzene is $-\,'x'$ kJ.

$x =$ ________.

Given :

1. standard Enthalpy of formation of 1 mol of $\mathrm{C_6H_6(l)}$, for the reaction $\mathrm{6\,C\,(graphite) + 3\,H_2(g) \rightarrow C_6H_6(l)}$ is $48.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$.

2. Standard Enthalpy of formation of 1 mol of $\mathrm{CO_2(g)}$, for the reaction $\mathrm{C\,(graphite) + O_2(g) \rightarrow CO_2(g)}$ is $-393.5 \mathrm{~kJ} \mathrm{~mol}^{-1}$.

3. Standard and Enthalpy of formation of 1 mol of $\mathrm{H_2O(l)}$, for the reaction $\mathrm{H_2(g) + \frac{1}{2} O_2(g) \rightarrow H_2O\,(l)}$ is $-286 \mathrm{~kJ} \mathrm{~mol}^{-1}$.

Considering acetic acid dissociates in water, its dissociation constant is $6.25 \times 10^{-5}$. If 5 mL of acetic acid is dissolved in 1 litre water, the solution will freeze at $-x \times 10^{-2}\,°\mathrm{C}$, provided pure water freezes at $0\,°\mathrm{C}$.

$x =$ ________. (Nearest integer)

Given : $(\mathrm{K}_f)_{\text{water}} = 1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$.

density of acetic acid is $1.2 \mathrm{~g} \mathrm{~mol}^{-1}$.

molar mass of water $= 18 \mathrm{~g} \mathrm{~mol}^{-1}$.

molar mass of acetic acid $= 60 \mathrm{~g} \mathrm{~mol}^{-1}$.

density of water $= 1 \mathrm{~g} \mathrm{~cm}^{-3}$

Acetic acid dissociates as $\mathrm{CH_3COOH \rightleftharpoons CH_3COO^{\ominus} + H^{\oplus}}$

Consider the following single step reaction in gas phase at constant temperature.

$$\mathrm{2A_{(g)} + B_{(g)} \rightarrow C_{(g)}}$$

The initial rate of the reaction is recorded as $r_1$ when the reaction starts with 1.5 atm pressure of A and 0.7 atm pressure of B. After some time, the rate $r_2$ is recorded when the pressure of C becomes 0.5 atm. The ratio $r_1 : r_2$ is ________ $\times 10^{-1}$. (Nearest integer)

The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products A and B along with the evolution of $\mathrm{CO_2}$. The sum of spin-only magnetic moment values of A and B is ________ B.M. (Nearest integer)

[Given atomic number : C : 6, Na : 11, O : 8, Fe : 26, Cr : 24]

In the Claisen-Schmidt reaction to prepare 351 g of dibenzalacetone using 87 g of acetone, the amount of benzaldehyde required is ________ g. (Nearest integer)

Using the given figure, the ratio of $R_f$ values of sample A and sample C is $x \times 10^{-2}$. Value of $x$ is ________.

paper chromatography of samples (A, B, C) — base line at 0.0 cm, sample A spot at 5.0 cm, sample B spot at 6.5 cm, sample C spot at 10.0 cm, solvent front at 12.5 cm

The product $\mathrm{(C)}$ in the following sequence of reactions has ________ $\pi$ bonds.

propylbenzene ($\mathrm{C_6H_5{-}CH_2CH_2CH_3}$) $\xrightarrow[\Delta

{\mathrm{KMnO_4 - KOH}}$(A)$\xrightarrow{\mathrm{H_3O^+}}$(B)$\xrightarrow[\mathrm{FeBr_3}]{\mathrm{Br_2}}$ (C)]*

X g of ethanamine was subjected to reaction with $\mathrm{NaNO_2/HCl}$ followed by hydrolysis to liberate $\mathrm{N_2}$ and HCl. The HCl generated was completely neutralised by 0.2 moles of NaOH. X is ________ g.