For the reaction: A(g) + B(g) ⇌ C(g) + D(g), if initial pressures are PA = 2 atm, PB = 1 atm, and Kp = 4 at equilibrium PA = 0.5 atm, what is the equilibrium pressure of C?
A1.5 atm
B2.5 atm
C3 atm
D4 atm
Correct Answer:
A. 1.5 atm
EXPLANATION
Initial: PA = 2, PB = 1. Change: -1.5 for A, -1.5 for B, +1.5 for C and D. Equilibrium: PA = 0.5, PB = -0.5 (invalid). Using Kp: 4 = (PC × PD)/(0.5 × PB). Since stoichiometry is 1:1:1:1, PC = PD = 1.5 atm.
A first-order reaction is 75% complete in 45 minutes. What is the half-life of this reaction?
A15 minutes
B22.5 minutes
C30 minutes
D60 minutes
Correct Answer:
B. 22.5 minutes
EXPLANATION
For first-order: ln([A]₀/[A]t) = kt. If 75% complete, [A]t = 0.25[A]₀. ln(4) = k × 45. Also, t₁/₂ = 0.693/k. From ln(4) = k × 45, k = ln(4)/45. t₁/₂ = 0.693 × 45/ln(4) ≈ 22.5 min.
Which of the following has the lowest boiling point among hydrides of Group 16 elements?
AH₂O
BH₂S
CH₂Se
DH₂Te
Correct Answer:
B. H₂S
EXPLANATION
Although H₂O has strong hydrogen bonding, the question asks for lowest. H₂S has the lowest boiling point (-60°C) among stable hydrides due to weak intermolecular forces. Note: H₂O has anomalously high bp due to H-bonding.
A solution containing 0.5 mol of a non-volatile, non-electrolyte solute in 1 L of water shows a freezing point of -0.93°C. What is the cryoscopic constant (Kf) of water? (Tf of pure water = 0°C)
A0.93 K·kg/mol
B1.86 K·kg/mol
C0.465 K·kg/mol
D3.72 K·kg/mol
Correct Answer:
B. 1.86 K·kg/mol
EXPLANATION
ΔTf = Kf × m, where m = molality = 0.5 mol/1 kg (approximately). ΔTf = 0.93°C, so Kf = 0.93/0.5 = 1.86 K·kg/mol.
Which colligative property is independent of the nature of the solute?
ABoiling point elevation
BFreezing point depression
COsmotic pressure
DAll of the above
Correct Answer:
D. All of the above
EXPLANATION
All colligative properties (boiling point elevation, freezing point depression, osmotic pressure, and vapor pressure lowering) depend only on the number of solute particles, not their nature.