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Chemistry

Given below are two statements:
Statement (I) : The metallic radius of Al is less than that of Ga.
Statement (II) : The ionic radius of \( \text{Al}^{3+} \) is less than that of \( \text{Ga}^{3+} \).
In the light of the above statements, choose the most appropriate answer from the options given below:

52.

If equal volumes of \( \text{AB}_2 \) and \( \text{XY} \) (both are salts) aqueous solutions are mixed, which of the following combination will give a precipitate of \( \text{AY}_2 \) at \( 300 \, \text{K} \)?
(Given \( K_{sp} \) (at \( 300 \, \text{K} \)) for \( \text{AY}_2 = 5.2 \times 10^{-7} \))

53.

A molecule with the formula \( \text{AX}_4\text{Y} \) has all it's elements from p-block. Element A is rarest, monoatomic, non-radioactive from its group and has the lowest ionization enthalpy value among A, X and Y. Elements X and Y have first and second highest electronegativity values respectively among all the known elements. The shape of the molecule is:

54.

Identify the correct statement among the following:

55.

On complete combustion \( 1.0 \, \mathrm{g} \) of an organic compound \( (X) \) gave \( 1.46 \, \mathrm{g} \) of \( \mathrm{CO_2} \) and \( 0.567 \, \mathrm{g} \) of \( \mathrm{H_2O} \). The empirical formula mass of compound \( (X) \) is ______ \( \mathrm{g} \).
(Given molar mass in \( \mathrm{g \, mol^{-1}} \) \( \mathrm{C:} \, 12 \), \( \mathrm{H:} \, 1 \), \( \mathrm{O:} \, 16 \))

56.

Consider the following compound \( (X) \)

The most stable and least stable carbon radicals, respectively, produced by homolytic cleavage of corresponding \( \mathrm{C-H} \) bond are:

57.

Among \( \mathrm{SO_2} \), \( \mathrm{NF_3} \), \( \mathrm{NH_3} \), \( \mathrm{XeF_2} \), \( \mathrm{ClF_3} \) and \( \mathrm{SF_4} \), the hybridization of the molecule with non-zero dipole moment and highest number of lone-pairs of electrons on the central atom is:

58.

The property/ properties that show irregularity in first four elements of group-\( 17 \) is/are:
(A) Covalent radius
(B) Electron affinity
(C) Ionic radius
(D) First ionization energy
Choose the correct answer from the options given below:

59.

Consider the following molecules:

The correct order of rate of hydrolysis is:

60.

Designate whether each of the following compounds is aromatic or not aromatic.

61.

Given below are two statements:
Statement (I) : The octahedral complexes, when \( \Delta_o < P \) high spin complex are formed. When \( \Delta_o > P \) low spin complexes are formed.
Statement (II) : In tetrahedral complexes because of \( \Delta_t < P \), low spin complex are rarely formed.
In the light of the above statements, choose the most appropriate answer from the options given below:

62.

\( \mathrm{CaCO_3(s) + 2HCl(aq) \rightarrow CaCl_2(aq) + CO_2(g) + H_2O(l)} \)
Consider the above reaction, what mass of \( \mathrm{CaCl_2} \) will be formed if \( 250 \, \mathrm{mL} \) of \( 0.76 \, \mathrm{M} \) HCl reacts with \( 1000 \, \mathrm{g} \) of \( \mathrm{CaCO_3} \)?
(Given : Molar mass of Ca, C, O, H and Cl are \( 40 \), \( 12 \), \( 16 \), \( 1 \) and \( 35.5 \, \mathrm{g \, mol^{-1}} \), respectively)

63.

An optically active alkyl halide \( \mathrm{C_4H_9Br} \) \([A]\) reacts with hot \( \mathrm{KOH} \) dissolved in ethanol and forms alkene \([B]\) as major product which reacts with bromine to give dibromide \([C]\). The compound \([C]\) is converted into a gas \([D]\) upon reacting with alcoholic \( \mathrm{NaNH_2} \). During hydration \( 18 \) gram of water is added to \( 1 \) mole of gas \([D]\) on warming with mercuric sulphate and dilute acid at \( 333 \, \mathrm{K} \) to form compound \([E]\). The IUPAC name of compound \([E]\) is :

64.

Given below are two statements:
Statement (I) : Vanillin will react with \( \mathrm{NaOH} \) and also with Tollen’s reagent.

Statement (II) : Vanillin will undergo self aldol condensation very easily.

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

65.

Which of the following graph correctly represents the plots of \( K_H \) at \( 1 \, \text{bar} \) for gases in water versus temperature?

66.

The correct order of basis nature in aqueous solution for the bases \( \mathrm{NH_3} \), \( \mathrm{H_2N{-}NH_2} \), \( \mathrm{CH_3CH_2NH_2} \), \( (\mathrm{CH_3CH_2})_2\mathrm{NH} \) and \( (\mathrm{CH_3CH_2})_3\mathrm{N} \) is:

67.

According to Bohr model of hydrogen atom, which of the following statement is incorrect?

68.

A solution is made by mixing one mole of volatile liquid \( A \) with \( 3 \) moles of volatile liquid \( B \). The vapour pressure of pure \( A \) is \( 200 \, \text{mm Hg} \) and that of the solution is \( 500 \, \text{mm Hg} \). The vapour pressure of pure \( B \) and the least volatile component of the solution, respectively, are:

69.

Choose the correct tests with respective observations.
(A) \( \mathrm{CuSO_4} \) (acidified with acetic acid) \( + \mathrm{K_4[Fe(CN)_6]} \rightarrow \) Chocolate brown precipitate.
(B) \( \mathrm{FeCl_3} + \mathrm{K_4[Fe(CN)_6]} \rightarrow \) Prussian blue precipitate.
(C) \( \mathrm{ZnCl_2} + \mathrm{K_4[Fe(CN)_6]} \), neutralised with \( \mathrm{NH_4OH} \rightarrow \) White or bluish white precipitate.
(D) \( \mathrm{MgCl_2} + \mathrm{K_4[Fe(CN)_6]} \rightarrow \) Blue precipitate.
(E) \( \mathrm{BaCl_2} + \mathrm{K_4[Fe(CN)_6]} \), neutralised with \( \mathrm{NaOH} \rightarrow \) White precipitate.
Choose the correct answer from the options given below:

70.

Two vessels \( A \) and \( B \) are connected via stopcock. The vessel \( A \) is filled with a gas at a certain pressure. The entire assembly is immersed in water and is allowed to come to thermal equilibrium with water. After opening the stopcock the gas from vessel \( A \) expands into vessel \( B \) and no change in temperature is observed in the thermometer. Which of the following statement is true?

71.

For the reaction \( A \rightarrow \) products.

The concentration of \( A \) at \( 10 \) minutes is ________ \( \times 10^{-3} \, \text{mol L}^{-1} \) (nearest integer)

72.

A transition metal \( (M) \) among \( \mathrm{Mn} \), \( \mathrm{Cr} \), \( \mathrm{Co} \) and \( \mathrm{Fe} \) has the highest standard electrode potential \( (M^{3+} / M^{2+}) \). It forms a metal complex of the type \( [M(CN)_6]^{4-} \). The number of electrons present in the \( e_g \) orbital of the complex is ____________.

73.

Consider the following equilibrium, \( \mathrm{CO(g)} + 2\mathrm{H_2(g)} \rightleftharpoons \mathrm{CH_3OH(g)} \). \( 0.1 \) mol of \( \mathrm{CO} \) along with catalyst is present \( 2 \, \mathrm{dm^3} \) flask maintained at \( 500 \, \mathrm{K} \).
Hydrogen is introduced into the flask until the pressure is \( 5 \, \mathrm{bar} \) and \( 0.04 \) mol of \( \mathrm{CH_3OH} \) is formed. The \( K_p \) is ________ \( \times 10^{-3} \) (nearest integer).
Given; \( R = 0.08 \, \mathrm{dm^3 \, bar \, K^{-1} \, mol^{-1}} \).
Assume only methanol is formed as the product and the system follows ideal gas behaviour.

74.

Consider the following electrochemical cell at standard condition.
\( \mathrm{Au(s)\,|\,QH_2,\,Q\,|\,NH_4X(0.01\,M)\,|\,Ag^+(1\,M)\,|\,Ag(s)} \) \( E_{\mathrm{cell}} = +0.4 \, \mathrm{V} \)
The couple \( \mathrm{QH_2/Q} \) represents quinhydrone electrode, the half cell reaction is given below:

\( \left[\text{Given : } E^{\circ}_{\mathrm{Ag^+/Ag}} = +0.8 \, \mathrm{V} \text{ and } \dfrac{2.303RT}{F} = 0.06 \, \mathrm{V} \right] \)
The \( \mathrm{p}K_b \) value of the ammonium halide salt \( (\mathrm{NH_4X}) \) used here is __________. (nearest integer)

75.

\( 0.1 \) mol of the following given antiviral compound \( (\mathrm{P}) \) will weigh __________ \( \times 10^{-1} \, \mathrm{g} \) (nearest integer).

\( \text{(Given : molar mass in g mol}^{-1}\text{ ) } \mathrm{H}:1 , \mathrm{C}:12 , \mathrm{N}:14 , \mathrm{O}:16 , \mathrm{F}:19 , \mathrm{I}:127 \)

JEE Main 2025 2nd April Morning Shift

Mathematics Physics Chemistry

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For the reaction \( A \rightarrow \) products.

The concentration of \( A \) at \( 10 \) minutes is ________ \( \times 10^{-3} \, \text{mol L}^{-1} \) (nearest integer)

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JEE Mains | PYQ