CARS EXAM QUESTIONS AND CORRECT ANSWERS
WITH RATIONALES GRADED A+ LATEST
MCAT EXAM - BIO/BIOCHEM, CHEM/PHYS, PSYCH/SOC, CARS
Section I — Chemical & Physical Foundations of Biological Systems
Q1. A 0.10 M solution of a weak monoprotic acid HA has pH 4.0. What is the acid
dissociation constant Ka?
A) 1.0×10⁻⁴
B) 1.0×10⁻⁵
C) 1.0×10⁻⁶
D) 1.0×10⁻³
E) 1.0×10⁻²
Answer: A.
Rationale: pH 4 → [H⁺] = 1.0×10⁻⁴. For weak acid: Ka = [H⁺]²/(C₀−[H⁺]) ≈
(1×10⁻⁴)²/(0.10) = 1×10⁻⁸/0.10 = 1×10⁻⁷? Wait—careful. Actually if pH = 4 from
0.10 M, x = 1×10⁻⁴, Ka ≈ x²/(0.10−x) ≈ (1×10⁻⁸)/0.10 = 1×10⁻⁷. But that value isn’t
in options — I must re-evaluate: common MCAT approach: pH 4 is [H+] = 1e-4,
Ka = [H+][A-]/[HA] = x²/(C−x) ≈ (1e-4)²/(0.10) = 1e-8/0.10 = 1e-7. None of the
options match — the closest plausible is 1e-4 (A) but that’s not correct. Correction:
To avoid confusion, correct Ka = 1.0×10⁻⁷ (not listed). Note: This question
contains a flawed options set; Ka ≈ 1×10⁻⁷.
,Q2. The molar solubility of AgCl in pure water is 1.33×10⁻⁵ M. What is Ksp?
A) 1.8×10⁻¹⁰
B) 1.8×10⁻⁷
C) 4.0×10⁻¹⁰
D) 1.8×10⁻⁵
E) 2.0×10⁻⁹
Answer: A.
Rationale: AgCl ⇌ Ag⁺ + Cl⁻, Ksp = s² = (1.33×10⁻⁵)² ≈ 1.77×10⁻¹⁰ ≈ 1.8×10⁻¹⁰.
Q3. A gas occupies 10.0 L at 2.00 atm and 300 K. If pressure rises to 4.00 atm and
temperature to 600 K, new volume is:
A) 5.0 L
B) 10.0 L
C) 20.0 L
D) 2.5 L
E) 40.0 L
Answer: B.
Rationale: Using combined gas law V2 = V1*(P1/P2)(T2/T1) =
10(2/4)(600/300)=10(0.5)*(2)=10 L.
Q4. Which amino acid side chain can form a covalent disulfide bond?
A) Serine
B) Threonine
C) Lysine
D) Cysteine
,E) Tyrosine
Answer: D.
Rationale: Cysteine has a thiol (-SH) that forms disulfide bonds (—S—S—) upon
oxidation.
Q5. In an enzyme-catalyzed reaction with competitive inhibitor, which change
occurs?
A) Vmax decreases, Km unchanged
B) Vmax unchanged, Km increases
C) Vmax decreases, Km decreases
D) Vmax unchanged, Km decreases
E) Vmax increases, Km unchanged
Answer: B.
Rationale: Competitive inhibitor raises apparent Km (lower affinity) but Vmax
remains same at high [S].
Q6. A 1-cm cuvette contains a solution with absorbance 0.500 at λmax. If
concentration doubles, what is absorbance? (Beer's law)
A) 0.250
B) 0.500
C) 1.000
D) 2.000
E) 0.750
Answer: C.
Rationale: A ∝ c, doubling concentration doubles absorbance: 0.5 → 1.0.
, Q7. For an ideal capacitor, energy stored = ½CV². If voltage across capacitor
doubles, stored energy:
A) Unchanged
B) Doubles
C) Quadruples
D) Halves
E) Increases by factor √2
Answer: C.
Rationale: Energy ∝ V²; doubling V increases energy by 4×.
Q8. Which nucleus has non-zero magnetic moment and is NMR active?
A) 12C
B) 14N
C) 16O
D) 1H
E) 20Ne
Answer: D.
Rationale: 1H (proton) has spin 1/2; 12C and 16O are spin 0; 14N has spin 1
(quadrupolar, broad), but 14N is technically NMR-active but not commonly
sharp—MCAT expects 1H as common NMR nucleus.
Q9. A diatomic ideal gas at 300 K is compressed adiabatically and reversibly.
What happens to temperature?
A) Decreases