Hydrolysis of sucrose follows 1\(^{st}\) order kinetics to produce glucose and fructose. If (\(t_{1/2}\)) for decomposition of sucrose is 3 hr. Find % of sucrose left after 6 hr.

• (1) 50%
• (2) 25%
• (3) 12.5%
• (4) 75%

If at infinite dilution, molar conductivities of \(BaCl_2\), \(HCl\) and \(H_2SO_4\), are \(x_1\), \(x_2\), \(x_3\) \(S \cdot cm^2 mol^{-1}\) respectively. Find solubility product of \(BaSO_4\). Given \(\kappa_{BaSO_4}\) (Specific conductance) = \(x S \cdot cm^{-1}\)

• (1) \( \left( \frac{x}{x_1 + x_3 - 2x_2} \right)^2 \times 10^6 \)
• (2) \( \left( \frac{x_1 + x_3 - 2x_2}{x} \right)^2 \times 10^6 \)
• (3) \( \left( \frac{x}{x_1 + x_3 - x_2} \right)^2 \times 10^3 \)
• (4) \( \left( \frac{x}{x_1 + x_3 - x_2} \right)^2 \times 10^6 \)

For given four processes compare magnitude of work



Which of the following is correct option

• (1) \(|W_1| > |W_2| > |W_3| > |W_4|\)
• (2) \(|W_1| < |W_2| < |W_3| < |W_4|\)
• (3) \(|W_1| < |W_3| < |W_2| < |W_4|\)
• (4) \(|W_2| < |W_1| < |W_4| < |W_3|\)

A solution contain 0.25 moles of non-volatile solute dissolved in one mole of solvent. Then calculate % of vapour pressure of solution relative to vapour pressure of pure solvent?

• (1) 20
• (2) 40
• (3) 60
• (4) 80

1 mole of He and 1 mole A are taken in 10 L rigid container at 400 K and equilibrium \(A \rightleftharpoons B\) is established. Calculate partial pressure of He and B at equilibrium if \(K_C = 4\).

• (1) 3.28 atm, 2.62 atm
• (2) 2.6 atm, 3.28 atm
• (3) 2.6 atm, 2.6 atm
• (4) 3.28 atm, 3.28 atm

An oxide of iron contains 69.9% iron. Find its empirical formula. (Given : Atomic masses Fe= 56, O = 16)

• (1) \(Fe_3O_4\)
• (2) \(Fe_2O_3\)
• (3) \(FeO_3\)
• (4) \(FeO\)

Match Column-I with Column-II


Match the correct list -

• (1) P-(iv), Q-(iii), R-(ii), S-(i)
• (2) P-(iii), Q-(iv), R-(i), S-(ii)
• (3) P-(i), Q-(ii), R-(iii), S-(iv)
• (4) P-(ii), Q-(i), R-(iv), S-(iii)

For the reversible reaction at 300 K, \(\Delta H^\circ = 28.4\) KJ/mole and equilibrium constant \(K = 1.8 \times 10^{-7}\), then calculate magnitude of \(\Delta S^\circ\) in Joule/K-mole. [Given \(\log 2 = 0.3, \ln 10 = 2.3, R = 8.314 J/K\cdotmole, \log 3 = 0.47\)]

• (1) 34 J/K-mole
• (2) 44 J/K-mole
• (3) 54 J/K-mole
• (4) 24 J/K-mole

If minimum wavelength for H-atom in Lyman series is 'x', then maximum wavelength of Balmer series of \(He^+\) ion in terms of 'x' will be

• (1) \(\frac{3x}{4}\)
• (2) \(x\)
• (3) \(\frac{9x}{5}\)
• (4) \(\frac{5x}{9}\)

Find correct order of increasing boiling point in the following given molecules :
(A) \(n-C_4H_9OH\)
(B) \(n-C_4H_9NH_2\)
(C) \(n-C_4H_{10}\)
(D) \(C_2H_5NHC_2H_5\)

• (1) C \(<\) D \(<\) B \(<\) A
• (2) A \(<\) B \(<\) D \(<\) C
• (3) D \(<\) C \(<\) A \(<\) B
• (4) B \(<\) C \(<\) D \(<\) A

Match disease with the deficiency.

• (1) A-R ; B-P ; C-S ; D-Q
• (2) A-P ; B-R ; C-S ; D-Q
• (3) A-S ; B-P ; C-R ; D-Q
• (4) A-R ; B-S ; C-P ; D-Q

Statement-I : Al is more electropositive than Tl because, \(E^\circ_{Al^{3+}/Al}\) is negative \& \(E^\circ_{Tl^{3+}/Tl}\) is positive.
Statement-II : For B-atom ; sum of first three ionization energy is very high thus it forms covalent compounds.

• (1) Both statement-I \& statement-II are correct
• (2) Both statement-I \& statement-II are incorrect
• (3) Statement-I is correct but statement-II is incorrect
• (4) Statement-I is incorrect but statement-II is correct

Which of the following pair of specie(s) have different lewis structure

(A) \(SO_3^{2-}\), \(CO_3^{2-}\)

(B) \(O_2^{2-}\), \(F_2\)

(C) \(CN^-\), \(CO\)

(D) \(NH_3\), \(H_3O^+\)

(E) \(MnO_4^-\), \(CrO_4^{2-}\)

• (1) (A) only
• (2) (A) \& (B) only
• (3) (A) \& (E) only
• (4) (C) \& (D) only

Consider the statements
(A) In Zeigler –Natta catalyst, d-block central metal ion has spin magnetic moment of 2.84 BM
(B) In Zeigler –Natta catalyst, p-block element has + 3 oxidation state
(C) Basic vanadium oxide is used in production of \(H_2SO_4\)
(D) Catalyst used in wacker's process has central metal with \(d^8\) configuration

• (1) (A), (B) \& (C) are correct
• (2) (B) \& (D) are correct
• (3) (C) \& (D) are correct
• (4) (B), (C) \& (D) are correct

Find correct order of increasing boiling point in the following given molecules :
(A) \(n-C_4H_9OH\)
(B) \(n-C_4H_9NH_2\)
(C) \(n-C_4H_{10}\)
(D) \(C_2H_5NHC_2H_5\)

• (1) C \(<\) D \(<\) B \(<\) A
• (2) A \(<\) B \(<\) D \(<\) C
• (3) D \(<\) C \(<\) A \(<\) B
• (4) B \(<\) C \(<\) D \(<\) A

Match disease with the deficiency.

• (1) A-R ; B-P ; C-S ; D-Q
• (2) A-P ; B-R ; C-S ; D-Q
• (3) A-S ; B-P ; C-R ; D-Q
• (4) A-R ; B-S ; C-P ; D-Q

Match with tab test of amino acids.

• (1) A – I, B-IV, C-III, D-II
• (2) A – IV, B-I, C-II, D-III
• (3) A – I, B-III, C-IV, D-II
• (4) A – IV, B-II, C-I, D-III

‘X’ may be :

• (1)
• (2)
• (3)
• (4)

4.7 g of phenol \(\xrightarrow{Zn, \Delta}\) 'X'. If reaction goes to 60% yield of X. Find number of moles of ‘X’ ...... \(\times 10^{-2}\) are formed.

• (1) 1
• (2) 2
• (3) 3
• (4) 4

Given below are two statements :
Statement-I : 2,4-Diethylcyclohexanone and 2-methyl-6-propylcyclohexanone are metamers.
Statement-II : 2,2,6,6-Tetraethylcyclohexanone will show tautomerism.

• (1) Statement-I and Statement-II both are correct.
• (2) Statement-I and Statement-II both are incorrect.
• (3) Statement-I is correct but Statement-II is incorrect.
• (4) Statement-I is incorrect but Statement-II is correct.

Statement-I : 3-Phenylprop-1-ene will react with HBr and give alkyl halide as major product having 1 chiral carbon atom.
Statement-II : Aryl chloride and Aryl cyanide both can be formed by gattermann and sandmeyer reaction.

• (1) Both Statement I and Statement II are incorrect.
• (2) Statement I is correct but Statement II is incorrect.
• (3) Statement I is incorrect but Statement II is correct.
• (4) Both Statement I and Statement II are correct.

Find percentage of nitrogen in the final product.

• (1) 21.30%
• (2) 15.20%
• (3) 18.45%
• (4) 25.10%

Given below are two statements :
Statement-I : Methane can be prepared by decarboxylation of sodium acetate, by Kolbe’s electrolysis and by \(CH_3MgBr\).
Statement-II : Methane can’t be prepared by unsaturated hydrocarbon and by Wurtz reaction.

• (1) Both statement-I \& statement-II are correct
• (2) Both statement-I \& statement-II are incorrect
• (3) Statement-I is correct but statement-II is incorrect
• (4) Statement-I is incorrect but statement-II is correct.