NUMS — Medical & Dental Entry Test

NUMS Chemistry — Kinetics, Acids and Bases, Electrochemistry (Set 2)

Take the NUMS Chemistry — Kinetics, Acids and Bases, Electrochemistry (Set 2): 30 multiple-choice questions (40 minutes) with instant scoring and a full…

What this test covers

Sample questions with answers

The first 5 questions of this test, with the correct answer and explanation.

  1. Q1. For the reaction A + B → products, doubling [A] alone makes the rate four times faster, while doubling [B] alone leaves the rate unchanged. What is the rate law?

    • A. rate = k[A]²[B]
    • B. rate = k[B]²
    • C. rate = k[A]² ✓
    • D. rate = k[A][B]

    Answer: C. rate = k[A]²

    Explanation: Rate ∝ [A]² (2² = 4) and is independent of [B] (zero order in B), so rate = k[A]².

  2. Q2. The rate constant of a reaction has units of mol⁻¹ dm³ s⁻¹. What is the overall order of the reaction?

    • A. Third order
    • B. Second order ✓
    • C. First order
    • D. Zero order

    Answer: B. Second order

    Explanation: For order n, units of k are (mol dm⁻³)^(1−n) s⁻¹; mol⁻¹ dm³ s⁻¹ corresponds to 1 − n = −1, so n = 2.

  3. Q3. For a zero-order reaction, how does the half-life change if the initial concentration of reactant is doubled?

    • A. It becomes four times longer
    • B. It halves
    • C. It stays the same
    • D. It doubles ✓

    Answer: D. It doubles

    Explanation: For zero order, t½ = [A]₀/2k, so the half-life is directly proportional to the initial concentration.

  4. Q4. An enzyme lowers the activation energy of the forward step of a reversible reaction by 30 kJ mol⁻¹. What is its effect on the reverse step?

    • A. Its activation energy is raised by 30 kJ mol⁻¹
    • B. Its activation energy is unchanged
    • C. The reverse reaction stops completely
    • D. Its activation energy is also lowered by 30 kJ mol⁻¹ ✓

    Answer: D. Its activation energy is also lowered by 30 kJ mol⁻¹

    Explanation: A catalyst provides an alternative pathway with a lower energy barrier; the barrier is lowered equally for both directions, so ΔH and the position of equilibrium are unchanged.

  5. Q5. According to collision theory, why does a small rise in temperature increase the rate of a reaction greatly?

    • A. The total number of molecules increases
    • B. The fraction of collisions with energy equal to or greater than the activation energy rises sharply ✓
    • C. The activation energy decreases
    • D. The reaction becomes more exothermic

    Answer: B. The fraction of collisions with energy equal to or greater than the activation energy rises sharply

    Explanation: Collision frequency rises only slightly; the main effect is that many more molecules in the Maxwell–Boltzmann distribution exceed Eₐ.

The other 25 questions

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  1. Q6. A crushed antacid tablet neutralises stomach acid faster than a whole tablet of the same mass. Why?

    • A. Crushing changes the chemical composition of the tablet
    • B. Crushing increases the activation energy
    • C. Crushing increases the surface area exposed to the acid
    • D. Crushing raises the temperature of the acid
  2. Q7. On a graph of reactant concentration against time, how is the instantaneous rate of reaction at a particular moment found?

    • A. From the intercept on the concentration axis
    • B. From the area under the curve
    • C. From the slope of the tangent to the curve at that moment
    • D. From the value of the concentration at that moment
  3. Q8. In the decomposition 2N₂O₅ → 4NO₂ + O₂, N₂O₅ is consumed at 0.020 mol dm⁻³ s⁻¹. At what rate is O₂ formed?

    • A. 0.005 mol dm⁻³ s⁻¹
    • B. 0.010 mol dm⁻³ s⁻¹
    • C. 0.020 mol dm⁻³ s⁻¹
    • D. 0.040 mol dm⁻³ s⁻¹
  4. Q9. A reaction's rate doubles when the temperature is raised from 300 K to 310 K. Using ln(k₂/k₁) = (Eₐ/R)(1/T₁ − 1/T₂), what is its activation energy? (R = 8.314 J K⁻¹ mol⁻¹, ln 2 = 0.693)

    • A. 53.6 kJ mol⁻¹
    • B. 107 kJ mol⁻¹
    • C. 5.8 kJ mol⁻¹
    • D. 0.53 kJ mol⁻¹
  5. Q10. What is the pH of 0.005 M sulphuric acid, assuming both protons ionise completely?

    • A. 3
    • B. 1.7
    • C. 2
    • D. 2.3
  6. Q11. 10 cm³ of hydrochloric acid of pH 2 is diluted with water to 1000 cm³. What is the pH of the diluted solution?

    • A. 2
    • B. 4
    • C. 3
    • D. 7
  7. Q12. Four weak acids have the pKa values listed. Which acid is the strongest?

    • A. Acid with pKa = 4.8
    • B. Acid with pKa = 3.2
    • C. Acid with pKa = 9.9
    • D. Acid with pKa = 4.2
  8. Q13. A weak acid HA has Ka = 1.0 × 10⁻⁵ at 25 °C. What is Kb of its conjugate base A⁻? (Kw = 1.0 × 10⁻¹⁴)

    • A. 1.0 × 10⁻⁹
    • B. 1.0 × 10⁻¹⁹
    • C. 1.0 × 10⁹
    • D. 1.0 × 10⁻⁵
  9. Q14. A small amount of HCl is added to a buffer of ethanoic acid and sodium ethanoate. Why does the pH hardly change?

    • A. The H⁺ ions evaporate as hydrogen gas
    • B. The added H⁺ ions combine with ethanoate ions to form undissociated ethanoic acid
    • C. The Na⁺ ions neutralise the added H⁺ ions
    • D. Ethanoic acid ionises more to absorb the H⁺
  10. Q15. According to Ostwald's dilution law, what happens to the degree of dissociation of a weak acid when its solution is diluted?

    • A. It remains constant
    • B. It increases
    • C. It decreases
    • D. It becomes zero
  11. Q16. Which of the following species can act both as a Brønsted–Lowry acid and as a Brønsted–Lowry base?

    • A. NH₄⁺
    • B. Cl⁻
    • C. CO₃²⁻
    • D. HCO₃⁻
  12. Q17. Which of these anions is the weakest base?

    • A. Cl⁻
    • B. F⁻
    • C. CH₃COO⁻
    • D. OH⁻
  13. Q18. Aqueous ammonia is titrated with hydrochloric acid. Which statement about the equivalence point is correct?

    • A. No indicator can detect the end point
    • B. The pH is below 7, so methyl orange is a suitable indicator
    • C. The pH is above 7, so phenolphthalein is a suitable indicator
    • D. The pH is exactly 7, so any indicator works
  14. Q19. 20.0 cm³ of sulphuric acid is exactly neutralised by 25.0 cm³ of 0.200 M NaOH. What is the concentration of the acid? (H₂SO₄ + 2NaOH → Na₂SO₄ + 2H₂O)

    • A. 0.125 M
    • B. 0.250 M
    • C. 0.0625 M
    • D. 0.160 M
  15. Q20. Sodium thiosulphate, Na₂S₂O₃, is used as an antidote in cyanide poisoning. What is the average oxidation number of sulphur in it?

    • A. +2
    • B. −2
    • C. +6
    • D. +4
  16. Q21. Magnetite, Fe₃O₄, is an iron oxide. What is the average oxidation number of iron in it?

    • A. +8/3
    • B. +2
    • C. +3
    • D. +4/3
  17. Q22. In the reaction Zn + Cu²⁺ → Zn²⁺ + Cu, which species acts as the oxidising agent?

    • A. Zn²⁺
    • B. Cu
    • C. Cu²⁺
    • D. Zn
  18. Q23. In acidic solution, dichromate is reduced: Cr₂O₇²⁻ → 2Cr³⁺. How many electrons are gained per dichromate ion?

    • A. 3
    • B. 2
    • C. 6
    • D. 12
  19. Q24. An aluminium strip in Al³⁺(aq) is connected through a salt bridge to a silver wire in Ag⁺(aq). E°(Al³⁺/Al) = −1.66 V and E°(Ag⁺/Ag) = +0.80 V. What is the standard emf of this cell?

    • A. 4.06 V
    • B. −2.46 V
    • C. 2.46 V
    • D. 0.86 V
  20. Q25. An iron nail is placed in blue copper(II) sulphate solution. E°(Fe²⁺/Fe) = −0.44 V and E°(Cu²⁺/Cu) = +0.34 V. What happens?

    • A. Iron deposits on copper ions
    • B. Hydrogen gas is evolved from the solution
    • C. No reaction occurs
    • D. Copper deposits on the nail and iron dissolves as Fe²⁺
  21. Q26. How much charge is needed to deposit 1 mol of aluminium from molten Al₂O₃ in cryolite? (F = 96 500 C mol⁻¹)

    • A. 96 500 C
    • B. 289 500 C
    • C. 193 000 C
    • D. 32 167 C
  22. Q27. A current of 0.50 A is passed through copper(II) sulphate solution for 1930 s. What mass of copper is deposited? (Cu = 63.5, F = 96 500 C mol⁻¹)

    • A. 0.159 g
    • B. 0.0318 g
    • C. 0.318 g
    • D. 0.635 g
  23. Q28. What is the main function of the salt bridge in a galvanic cell?

    • A. To prevent the electrodes from reacting
    • B. To supply electrons to the cathode
    • C. To allow the two solutions to mix freely
    • D. To complete the circuit and maintain electrical neutrality of the two solutions
  24. Q29. Impure copper is purified by electrolysis in copper(II) sulphate solution using an impure copper anode and a pure copper cathode. What happens at the anode?

    • A. Copper atoms are oxidised to Cu²⁺ and the anode dissolves
    • B. Copper ions are reduced to copper metal
    • C. Hydrogen gas is evolved
    • D. Oxygen gas is evolved
  25. Q30. While a lead–acid car battery is discharging, which change occurs?

    • A. Lead dioxide forms at both electrodes
    • B. The concentration of sulphuric acid increases
    • C. Both electrodes become coated with PbSO₄ and the density of the acid falls
    • D. Hydrogen gas is produced at the anode