Unit 6 · 7–9% of the exam Beta

Unit 6 practice test: Thermochemistry

12 exam-style questions from the unit, free, with an explanation for every option. Four answer choices each, and data sets that share one table, graph or particle diagram, as on the real exam.

Covers: Endothermic and Exothermic Processes; Energy Diagrams; Heat Transfer and Thermal Equilibrium; Heat Capacity and Calorimetry; Energy of Phase Changes; Introduction to Enthalpy of Reaction; Bond Enthalpies; Enthalpy of Formation; Hess's Law.

Model

Two steps of a reaction on paper

A student models H₂(g) + Cl₂(g) → 2 HCl(g) in two imaginary steps.

Step 1. H–H + Cl–Cl → 2 H + 2 Cl (all bonds broken; separate atoms)

Step 2. 2 H + 2 Cl → 2 H–Cl (new bonds formed)

Bond enthalpies: H–H 436 kJ/mol, Cl–Cl 242 kJ/mol, H–Cl 431 kJ/mol.

1. What is the enthalpy change for Step 1?

  1. −678 kJ, because breaking bonds releases energy
  2. +678 kJ, because breaking bonds absorbs energy
  3. +862 kJ, because two bonds are broken
  4. 0 kJ, because no new substance is made
Show the answer

Step 1 breaks H–H (436 kJ) and Cl–Cl (242 kJ): ΔH₁ = +678 kJ, endothermic.

  • −678 kJ, because breaking bonds releases energy: Bonded atoms attract each other; separating them takes energy, so the sign is positive.
  • Correct: +678 kJ, because breaking bonds absorbs energy: Right: 436 + 242 = 678 kJ must be supplied to pull the atoms apart.
  • +862 kJ, because two bonds are broken: The two bonds broken are H–H and Cl–Cl, not two H–Cl bonds.
  • 0 kJ, because no new substance is made: Separating atoms changes the energy even though no product has formed yet.

2. What is the enthalpy change for Step 2?

  1. +862 kJ, because forming bonds requires energy
  2. −431 kJ, because one H–Cl bond forms
  3. −862 kJ, because forming two H–Cl bonds releases energy
  4. −184 kJ, because that is the overall change
Show the answer

Forming bonds releases energy: ΔH₂ = −2 × 431 = −862 kJ.

  • +862 kJ, because forming bonds requires energy: Atoms that attract each other release energy as they bond.
  • −431 kJ, because one H–Cl bond forms: Two HCl molecules form, so two H–Cl bonds: 2 × 431.
  • Correct: −862 kJ, because forming two H–Cl bonds releases energy: Right: 2 × 431 = 862 kJ is released as the atoms bond.
  • −184 kJ, because that is the overall change: −184 kJ is the overall ΔH, the sum of Steps 1 and 2, not Step 2 alone.

3. Which statement explains, at the particle level, why the overall reaction is exothermic?

  1. The H–Cl bonds formed are stronger in total than the H–H and Cl–Cl bonds broken.
  2. Breaking the H–H and Cl–Cl bonds releases more energy than forming H–Cl absorbs.
  3. Each H–Cl bond is stronger than each H–H bond, so less energy is needed overall.
  4. The reaction makes more molecules than it uses, which releases energy.
Show the answer

Total bonds formed (2 × 431 = 862 kJ) outweigh total bonds broken (436 + 242 = 678 kJ), so 184 kJ is released per mole of reaction.

  • Correct: The H–Cl bonds formed are stronger in total than the H–H and Cl–Cl bonds broken.: Right: forming 862 kJ worth of bonds releases more than the 678 kJ needed to break the old ones.
  • Breaking the H–H and Cl–Cl bonds releases more energy than forming H–Cl absorbs.: This reverses both signs: breaking absorbs and forming releases.
  • Each H–Cl bond is stronger than each H–H bond, so less energy is needed overall.: An H–Cl bond (431) is actually weaker than an H–H bond (436); the totals decide.
  • The reaction makes more molecules than it uses, which releases energy.: Two molecules react and two form; molecule count is not the reason.

Graph

Temperature while a salt dissolves

A student adds 5.35 g of ammonium chloride, NH₄Cl (molar mass 53.49 g/mol), to 100.0 g of water in a coffee-cup calorimeter at 60 s and stirs. Take the specific heat of the solution as 4.18 J/(g·°C) and its mass as the water plus the solid.

05101520050100150200250300Time (s)Temperature (°C)
Data table
Time (s)Solution
022.4
3022.4
6022.4
7521.3
9020.2
10519.55
12019.22
13519.07
15019.04
18019.09
24019.18
30019.27

4. Which value should the student use for ΔT of the solution?

  1. −3.13 °C, from 22.40 °C to the last reading, 19.27 °C
  2. −3.36 °C, from 22.40 °C to the lowest point, 19.04 °C
  3. 19.04 °C, the lowest temperature reached
  4. −1.10 °C, the drop in the first 15 s after adding the solid
Show the answer

ΔT = T(lowest) − T(start) = 19.04 − 22.40 = −3.36 °C. The lowest point is where the dissolving stops absorbing energy.

  • −3.13 °C, from 22.40 °C to the last reading, 19.27 °C: The slow rise after 150 s is energy leaking in from the room, not part of the dissolving.
  • Correct: −3.36 °C, from 22.40 °C to the lowest point, 19.04 °C: Right: the lowest temperature marks the end of the dissolving; after that, the room warms the cup.
  • 19.04 °C, the lowest temperature reached: That is a temperature, not a change. ΔT = final − initial.
  • −1.10 °C, the drop in the first 15 s after adding the solid: The temperature keeps falling until about 150 s, when the dissolving is complete.

5. Which statement gives the correct signs for this experiment?

  1. q for the solution is negative and q for the dissolving is positive.
  2. q for the solution is positive and q for the dissolving is negative.
  3. Both are negative, because the temperature went down.
  4. Both are positive, because energy was transferred.
Show the answer

q(dissolving) = −q(solution). The solution's temperature fell, so q(solution) < 0 and q(dissolving) > 0: endothermic.

  • Correct: q for the solution is negative and q for the dissolving is positive.: Right: the solution lost energy (negative) and the dissolving gained the same energy (positive).
  • q for the solution is positive and q for the dissolving is negative.: This would fit a temperature rise. Here the solution cooled.
  • Both are negative, because the temperature went down.: Energy lost by one is gained by the other, so the signs are opposite.
  • Both are positive, because energy was transferred.: Transfer means one side loses (negative) and one side gains (positive).

6. After 150 s, the temperature slowly rises. Which explanation fits the data?

  1. The dissolved NH₄Cl starts releasing the energy it absorbed earlier.
  2. Energy from the warmer room leaks into the cold solution through the cup.
  3. The solid begins to dissolve faster, which warms the solution.
  4. The thermometer warms the solution because of its own heat capacity.
Show the answer

A foam cup slows energy exchange but does not stop it. A solution colder than the room slowly gains energy, which is why the lowest point, not the last reading, gives ΔT.

  • The dissolved NH₄Cl starts releasing the energy it absorbed earlier.: Dissolving does not reverse by itself while the salt stays in solution.
  • Correct: Energy from the warmer room leaks into the cold solution through the cup.: Right: once the dissolving is done, the solution is colder than the room, so energy flows in.
  • The solid begins to dissolve faster, which warms the solution.: Dissolving NH₄Cl absorbs energy, so faster dissolving would cool the solution.
  • The thermometer warms the solution because of its own heat capacity.: The thermometer is at the solution's temperature; the rise comes from outside the cup.

7. After a run, sweat evaporates from an athlete's skin and she feels cooler. Which explanation is correct?

  1. Evaporation is exothermic: the water releases its warmth into the air.
  2. Sweat is colder than the skin, so it cools the skin by touching it.
  3. Evaporation breaks O–H bonds, which takes energy from the skin.
  4. Evaporation is endothermic: separating water molecules absorbs energy from the skin.
Show the answer

Evaporation is endothermic. The energy needed to separate water molecules comes from the skin, which is the surroundings, so the skin cools.

  • Evaporation is exothermic: the water releases its warmth into the air.: If evaporation released energy to the skin, the skin would warm, not cool.
  • Sweat is colder than the skin, so it cools the skin by touching it.: Sweat leaves the body at body temperature; the cooling comes from the evaporation itself.
  • Evaporation breaks O–H bonds, which takes energy from the skin.: The molecules stay intact as H₂O; only the attractions between molecules are overcome.
  • Correct: Evaporation is endothermic: separating water molecules absorbs energy from the skin.: Right: molecules leaving the liquid must overcome hydrogen bonds, and that energy comes from the skin.

8. Which pair of quantities can be read from an energy diagram without any other data?

  1. The sign of ΔH and the temperature at which the reaction is run
  2. The sign of ΔH and whether the forward Ea is larger than the reverse Ea
  3. The rate constant and the time the reaction takes to finish
  4. The mass of products formed and the mass of reactants used
Show the answer

An energy diagram gives enthalpy levels: the sign and size of ΔH and both activation energies. For an exothermic reaction, the reverse Ea is the larger one.

  • The sign of ΔH and the temperature at which the reaction is run: Temperature is not on the diagram; its axes are enthalpy and progress of the reaction.
  • Correct: The sign of ΔH and whether the forward Ea is larger than the reverse Ea: Right: both follow from where the ends sit relative to each other and to the hump.
  • The rate constant and the time the reaction takes to finish: The diagram gives Ea but not a rate constant or a time; those need more data.
  • The mass of products formed and the mass of reactants used: Masses come from stoichiometry, not from an energy diagram.

9. On a cold morning, a metal bench feels colder than a wooden bench, though both are at 2 °C. Which explanation is correct?

  1. The metal is at a lower temperature than the wood.
  2. The metal gives off cold more quickly than the wood does.
  3. Metal transfers energy away from your skin faster than wood does.
  4. The wood is warming your skin, while the metal is not.
Show the answer

Touch senses how fast your skin loses energy, not the object's temperature. Metal conducts energy away faster.

  • The metal is at a lower temperature than the wood.: Both have been outside all night at the same temperature.
  • The metal gives off cold more quickly than the wood does.: Nothing gives off cold; energy moves from your hand into the bench.
  • Correct: Metal transfers energy away from your skin faster than wood does.: Right: both are at 2 °C, but metal carries energy away from your warmer skin more quickly, so your skin cools faster.
  • The wood is warming your skin, while the metal is not.: The wood is colder than your skin, so it also takes energy from you, just more slowly.

10. How many grams of ice at 0 °C can be melted by 5.00 kJ of energy? (ΔHfus = 6.01 kJ/mol; 18.02 g/mol)

Type a number and its unit.

Show the answer

n = 5.00 kJ ÷ 6.01 kJ/mol = 0.8319 mol. Mass = 0.8319 mol × 18.02 g/mol = 14.99 → 15.0 g.

  • Answer: 15.0 g

11. Methane burns as CH₄(g) + 2 O₂(g) → CO₂(g) + 2 H₂O(l), ΔH = −890.3 kJ/mol. Vaporizing water at 25 °C absorbs 44.0 kJ/mol. What is ΔH when the water is formed as a gas instead?

  1. −978.3 kJ/mol
  2. −846.3 kJ/mol
  3. −802.3 kJ/mol
  4. −890.3 kJ/mol
Show the answer

Forming 2 H₂O(g) instead of 2 H₂O(l) skips condensing 2 mol of water, which would release 88.0 kJ. ΔH = −890.3 + 88.0 = −802.3 kJ/mol.

  • −978.3 kJ/mol: Gaseous water sits higher in enthalpy than liquid water, so less energy is released, not more.
  • −846.3 kJ/mol: Two moles of water form, so the correction is 2 × 44.0 kJ, not 44.0 kJ.
  • Correct: −802.3 kJ/mol: Right: the gaseous water is 2 × 44.0 = 88.0 kJ higher in enthalpy, so less energy is released: −890.3 + 88.0.
  • −890.3 kJ/mol: The state of the products matters: making a gas instead of a liquid keeps 88.0 kJ in the products.

12. Which equation shows the standard formation reaction of solid glucose, C₆H₁₂O₆?

  1. 6 CO₂(g) + 6 H₂O(l) → C₆H₁₂O₆(s) + 6 O₂(g)
  2. 6 C(g) + 12 H(g) + 6 O(g) → C₆H₁₂O₆(s)
  3. 6 C(graphite) + 6 H₂(g) + 3 O₂(g) → C₆H₁₂O₆(s)
  4. 12 C(graphite) + 12 H₂(g) + 6 O₂(g) → 2 C₆H₁₂O₆(s)
Show the answer

Formation reaction: elements in their standard states → exactly 1 mol of the compound.

  • 6 CO₂(g) + 6 H₂O(l) → C₆H₁₂O₆(s) + 6 O₂(g): That is photosynthesis. A formation reaction starts from elements, not compounds.
  • 6 C(g) + 12 H(g) + 6 O(g) → C₆H₁₂O₆(s): Gaseous atoms are not standard states.
  • Correct: 6 C(graphite) + 6 H₂(g) + 3 O₂(g) → C₆H₁₂O₆(s): Right: 1 mol of glucose from carbon, hydrogen and oxygen, each in its standard state.
  • 12 C(graphite) + 12 H₂(g) + 6 O₂(g) → 2 C₆H₁₂O₆(s): This makes 2 mol of glucose; ΔH°f is defined for 1 mol.

Keep going

Practice has every question in the unit, with feedback after each one; the notes for every topic are free. Other units: Unit 1 · Unit 2 · Unit 3 · Unit 4 · Unit 5 · Unit 6 · Unit 7 · Unit 8 · Unit 9.