Question 1:

For 1 mol of gas, the plot of pV vs p is shown below. p is the pressure and V is the volume of the gas. What is the value of compressibility factor at point A?

1. (1) 1 − ^a/_RT V
2. (2) 1 + ^b/_V
3. (3) 1 − ^b/_V
4. (4) 1 + ^a/_RT V

Question 2:

The shortest wavelength of hydrogen atom in the Lyman series is λ. The longest wavelength in the Balmer series of He⁺ is:

1. (1) ⁵/₉ λ
2. (2) ⁹/₅ λ
3. (3) ³⁶/₅ λ
4. (4) ⁵/₉ λ

Question 3:

Which of the following salt solutions would coagulate the colloid solution formed when FeCl₃ is added to NaOH solution, at the fastest rate?

1. (1) 10 mL of 0.2 mol dm⁻³ AlCl₃
2. (2) 10 mL of 0.1 mol dm⁻³ Na₂SO₄
3. (3) 10 mL of 0.1 mol dm⁻³ Ca₃(PO₄)₂
4. (4) 10 mL of 0.15 mol dm⁻³ CaCl₂

Question 4:

The bond dissociation energy is highest for:

1. (1) Cl₂
2. (2) I₂
3. (3) Br₂
4. (4) F₂

Question 5:

The reaction representing the Mond process for metal refining is:

1. (1) Ni + 4CO Δ → Ni(CO)₄
2. (2) 2K[Au(CN)₂] + Zn Δ → K₂[Zn(CN)₄] + 2Au
3. (3) Zr + 2I₂ Δ → ZrI₄
4. (4) ZnO + C Δ → Zn + CO

Question 6:

Which of the given compounds can enhance the efficiency of a hydrogen storage tank?

1. (1) Li/P₄
2. (2) SiH₄
3. (3) NaNi₅
4. (4) Di-isobutylaluminium hydride

Question 7:

The correct order of hydration enthalpies is:

(A) K+
(B) Rb+
(C) Mg2+
(D) Cs+
(E) Ca2+

Choose the correct answer from the options given below:

1. (1) C > A > E > B > D
2. (2) E > C > A > B > D
3. (3) C > E > A > D > B
4. (4) C > E > A > B > D

Question 8:

The magnetic behavior of Li2O, Na2O2, and KO2, respectively, is:

1. (1) diamagnetic, paramagnetic, and diamagnetic
2. (2) paramagnetic, paramagnetic, and diamagnetic
3. (3) paramagnetic, diamagnetic, and paramagnetic
4. (4) diamagnetic, diamagnetic, and paramagnetic

Question 9:

"A" obtained by Ostwald's method involving air oxidation of NH3, upon further air oxidation produces "B". "B" on hydration forms an oxoacid of nitrogen along with evolution of "A". The oxoacid also produces "A" and gives a positive brown ring test.

1. (1) NO2, N2O5
2. (2) NO2, N2O4
3. (3) NO, NO2
4. (4) N2O3, NO2

Question 10:

The standard electrode potential (M3+/M2+) for V, Cr, Mn, and Co are -0.26 V, -0.41 V, +1.57 V, and +1.97 V, respectively. The metal ions which can liberate H2 from a dilute acid are:

1. (1) V2+ and Mn2+
2. (2) Cr2+ and Co2+
3. (3) V2+ and Cr2+
4. (4) Mn2+ and Co2+

Question 11:

Correct statement about smog is:

1. (1) NO₂ is present in classical smog
2. (2) Both NO₂ and SO₂ are present in classical smog
3. (3) Photochemical smog has a high concentration of oxidizing agents
4. (4) Classical smog also has a high concentration of oxidizing agents

Question 12:

Chiral complex from the following is:

1. (1) cis–[PtCl₂(en)₂]²⁺
2. (2) trans–[PtCl₂(en)₂]²⁺
3. (3) cis–[PtCl₂(NH₃)₂]
4. (4) trans–[Co(NH₃)₄Cl₂]⁺

Question 13:

Identify the correct order for the given property for the following compounds:

(The exact compounds and property details are not fully shown in the question excerpt, but the final conclusion is provided.)

Choose the correct answer from the options given below:

1. (1) (B), (C), and (D) only
2. (2) (A), (C), and (E) only
3. (3) (A), (C), and (D) only
4. (4) (A), (B), and (E) only

Question 14:

The increasing order of pKa for the following phenols is:

1. (1) 2,4-Dinitrophenol
2. (2) 4-Nitrophenol
3. (3) 2,4,5-Trimethylphenol
4. (4) Phenol
5. (5) 3-Chlorophenol

Answer: (2) 2,4-Dinitrophenol < 4-Nitrophenol < 3-Chlorophenol < Phenol < 2,4,5-Trimethylphenol

Question 15:

Match the reactions in List-I with the reagents in List-II:

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

Answer: (3) (A) – III, (B) – IV, (C) – I, (D) – II

Question 16:

The major product 'P' for the following sequence of reactions is:

1. (1) Some other derivative
2. (2) Yet another derivative
3. (3) Ph-CH2-CH2-CH2-CH2-NH2
4. (4) A substituted ring compound

Answer: (3)

Question 17:

During the borax bead test with CuSO4, a blue-green colour of the bead was observed in the oxidizing flame due to the formation of:

1. (1) Cu3B2
2. (2) Cu
3. (3) Cu(BO2)2
4. (4) CuO

Question 18:

Match List I with List II:

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

Answer: (1) (A) – III, (B) – I, (C) – II, (D) – IV

Question 19:

Number of cyclic tripeptides formed with 2 amino acids A and B is:

1. (1) 2
2. (2) 3
3. (3) 5
4. (4) 4

Question 20:

Compound that will give positive Lassaigne's test for both nitrogen and halogen is:

1. (1) N2H4·HCl
2. (2) CH3NH2·HCl
3. (3) NH4Cl
4. (4) NH2OH·HCl

Question 21:

Millimoles of calcium hydroxide required to produce 100 mL of the aqueous solution of pH 12 is x × 10⁻¹. The value of x is —— (Nearest integer). Assume complete dissociation.

Answer: 5

Question 22:

The number of molecules or ions from the following, which do not have an odd number of electrons, are ——:

• (A) NO₂
• (B) ICl₄⁻
• (C) BrF₃
• (D) ClO₂
• (E) NO₂⁺
• (F) NO

Answer: 3

Question 23:

Consider the following reaction approaching equilibrium at 27°C and 1 atm pressure:

A + B ⇌ C + D

K_f = 10³, K_r = 10²

The standard Gibbs energy change (ΔrG°) at 27°C is (–) —— kJ mol⁻¹ (Nearest integer).

(Given: R = 8.3 J K⁻¹ mol⁻¹ and ln(10) = 2.3)

Answer: 6

Question 24:

Solid lead nitrate is dissolved in 1 litre of water. The solution was found to boil at 100.15°C. When 0.2 mol of NaCl is added to the resulting solution, it was observed that the solution froze at –0.8°C. The solubility product of PbCl₂ formed is — × 10⁻⁶ at 298 K (Nearest integer).

Given: K_b = 0.5 K kg mol⁻¹, K_f = 1.8 kg mol⁻¹

Answer: 13

Question 25:

Water decomposes at 2300 K:

2 H2O(g) ⇌ 2 H2(g) + O2(g)

The percent of water decomposing at 2300 K and 1 bar is —— (Nearest integer). Equilibrium constant for the reaction is 2 × 10^-3 at 2300 K.

Answer: 2

Question 26:

The following figure shows the dependence of molar conductance of two electrolytes on concentration. Lambda°m is the limiting molar conductivity. The number of incorrect statements from the following is ——.

(A) Lambda°m for electrolyte A is obtained by extrapolation.
(B) For electrolyte B, sqrt(c) vs. Lambda(m) graph is a straight line with intercept equal to Lambda°m.
(C) At infinite dilution, the value of degree of dissociation approaches zero for electrolyte B.
(D) Lambda°m for any electrolyte A or B can be calculated using lambda° for individual ions.

Answer: 2

Question 27:

For a certain chemical reaction X → Y, the rate of formation of the product is plotted against time as shown in the figure. The number of correct statements from the following is ——.

(A) Overall order of this reaction is one.
(B) Order of this reaction cannot be determined.
(C) In region-I and III, the reaction is of first and zero order respectively.
(D) In region-II, the reaction is of first order.
(E) In region-II, the order of the reaction is in the range of 0.1 to 0.9.

Answer: 2

Question 28:

The sum of bridging carbonyls in W(CO)6 and Mn2(CO)10 is ——.

Answer: 0

Question 29:

Following chromatogram was developed by adsorption of compound A on a 6 cm TLC glass plate. The retardation factor of the compound A is —— × 10⁻¹.

Answer: 6

Question 30:

17 mg of a hydrocarbon (Molecular Formula: C10H16) takes up 8.40 mL of H2 gas measured at 0°C and 760 mmHg. Ozonolysis of the hydrocarbon yields certain products. The number of double bonds present in the hydrocarbon is ——.

Answer: 3