1. Which of the following species is paramagnetic?
Solution
Correct: D
NO (Nitric Oxide) has an odd number of electrons (15). According to Molecular Orbital Theory, this results in one unpaired electron in the π*2p molecular orbital, making it paramagnetic. The other options have all their electrons paired.
2. The rate constant of a reaction is 1.78 x 10^-3 s^-1 at 27°C and 2.57 x 10^-2 s^-1 at 37°C. Calculate the activation energy (in kJ/mol) for the reaction. [R = 8.314 J/mol K]
Solution
Correct: B
Using the Arrhenius equation: ln(k2/k1) = (Ea/R) * (1/T1 - 1/T2). ln(2.57 x 10^-2 / 1.78 x 10^-3) = (Ea/8.314) * (1/300 - 1/310). Solving for Ea, we get approximately 63969 J/mol, which is about 64.0 kJ/mol.
3. What is the pH of a 10^-8 M solution of HCl?
Solution
Correct: C
Since the concentration of HCl is very low, we must consider the auto-ionization of water. [H+] = 10^-8 (from HCl) + 10^-7 (from water) = 1.1 x 10^-7 M. pH = -log[H+] = -log(1.1 x 10^-7) ≈ 6.96.
4. Which of the following reagents can be used to distinguish between acetaldehyde and acetone?
Solution
Correct: D
Acetaldehyde, being an aldehyde, will reduce Tollen's reagent and Fehling's solution, forming a silver mirror or a red precipitate of Cu2O, respectively. Acetone, being a ketone, does not reduce these reagents. I2/NaOH (iodoform test) will also distinguish, with acetaldehyde giving a positive test (yellow precipitate of iodoform). Therefore, all are valid
5. The de Broglie wavelength of a particle with mass 'm' and kinetic energy 'E' is given by:
Solution
Correct: A
De Broglie wavelength (λ) = h/p, where p is momentum. Kinetic energy (E) = p^2 / 2m, so p = √(2mE). Therefore, λ = h/√(2mE).
6. What is the major product formed when ethylbenzene is treated with KMnO4/H+ and heat?
Solution
Correct: A
Alkyl benzenes are oxidized to benzoic acid by KMnO4/H+ regardless of the length of the alkyl chain (except for tertiary butyl groups).
7. The number of radial nodes for a 3p orbital is:
Solution
Correct: B
The number of radial nodes = n - l - 1, where n is the principal quantum number and l is the azimuthal quantum number. For a 3p orbital, n = 3 and l = 1. Therefore, the number of radial nodes = 3 - 1 - 1 = 1.
8. Which of the following is the strongest nucleophile in polar protic solvent?
Solution
Correct: C
In polar protic solvents, nucleophilicity increases down the group because larger ions are better solvated and less tightly bound to the protons of the solvent, making them more available to attack. Therefore, I- is the strongest nucleophile.
9. What is the IUPAC name of the complex [Co(en)2Cl2]Cl?
Solution
Correct: B
The IUPAC name is Bis(ethylenediamine)dichlorocobalt(III) chloride. 'en' stands for ethylenediamine. The oxidation state of Cobalt is +3 (x + 0 + (-2) = +1, so x=3). The ligands are named alphabetically before the metal.
10. Which of the following polymers is an example of a thermosetting polymer?
Solution
Correct: C
Bakelite is a thermosetting polymer, meaning it undergoes irreversible chemical change upon heating, forming a rigid network. The other options are thermoplastics, which can be repeatedly softened by heating and hardened by cooling.
11. The van't Hoff factor (i) for a dilute solution of K2SO4 in water is:
Solution
Correct: C
K2SO4 dissociates into 2 K+ ions and 1 SO42- ion in water. Therefore, i = 1 + (n-1)α, where n is the number of ions produced (3 in this case) and α is the degree of dissociation. Assuming complete dissociation (α=1), i = 3.
12. Which of the following compounds will give a positive iodoform test?
Solution
Correct: A
A positive iodoform test is given by compounds containing the CH3CO- group or compounds that can be oxidized to form this group. Ethanol (CH3CH2OH) can be oxidized to acetaldehyde (CH3CHO), which contains the CH3CO- group.
13. What is the standard electrode potential for the half-cell reaction: Zn2+(aq) + 2e- → Zn(s), given that ΔG° = -212.3 kJ/mol (F = 96500 C/mol)?
Solution
Correct: B
ΔG° = -nFE°, where n is the number of moles of electrons transferred, F is the Faraday constant, and E° is the standard electrode potential. -212300 J/mol = -2 * 96500 C/mol * E°. Solving for E°, we get E° ≈ -1.10 V.
14. Which of the following is the most acidic?
Solution
Correct: B
The nitro group (-NO2) is a strong electron-withdrawing group, which stabilizes the phenoxide ion after deprotonation, making o-nitrophenol the most acidic. Methoxy is electron donating so it reduces acidity. Cresol is less acidic than phenol itself.
15. The equilibrium constant (Kp) for the reaction N2(g) + 3H2(g) ⇌ 2NH3(g) is 1.64 x 10^-4 at 400°C. What is the value of Kc for this reaction? (R = 0.0821 L atm mol^-1 K^-1)
Solution
Correct: C
Kp = Kc(RT)^Δn, where Δn = (moles of gaseous products) - (moles of gaseous reactants) = 2 - (1+3) = -2. So, Kc = Kp / (RT)^Δn = 1.64 x 10^-4 / (0.0821 * 673)^-2. Solving results in Kc = 1.64 x 10^-4 / ((0.0821 * 673) ^ -2)
16. Which of the following statements about peptide bonds is incorrect?
Solution
Correct: D
Peptide bonds are not easily hydrolyzed under physiological conditions. Strong acids or bases are required for hydrolysis. The other statements are correct.
17. For the reaction A + B → products, the rate law is given by rate = k[A]^1/2[B]^2. What is the overall order of the reaction?
Solution
Correct: C
The overall order of the reaction is the sum of the exponents in the rate law. Therefore, the overall order is 1/2 + 2 = 5/2.
18. Which of the following reagents is used to protect an alcohol group as a silyl ether?
Solution
Correct: B
Trimethylsilyl chloride (TMSCl) in the presence of a base like triethylamine (Et3N) is used to protect alcohols as silyl ethers. The silyl ether can later be removed with fluoride ions (e.g., TBAF).
19. Which of the following has the highest bond dissociation energy?
Solution
Correct: B
Bond dissociation energy generally decreases down the halogen group. However, F2 has a lower bond dissociation energy than Cl2 due to the small size and high electron density of fluorine, leading to interelectronic repulsion. Cl2 has the highest bond dissociation energy among the given options.
20. What is the major product obtained when 2-methylpropene reacts with HBr in the presence of peroxide?
Solution
Correct: B
In the presence of peroxide, HBr undergoes anti-Markovnikov addition. Thus, the bromine adds to the less substituted carbon. The product is 1-Bromo-2-methylpropane
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