States of Matter, Gas Laws, Solutions and Thermochemistry, CHEM 1 Ch. 13–16 – Study Notes
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Difficulty: Intermediate to Advanced | Prerequisites: Chapters 8-9 (bonding, polarity), Chapter 11-12 (mole, stoichiometry)

Source: Chem 1 Final Study Guide, General Chemistry (Purdue University, Chhabra)

Tags: intermolecular forces, dispersion forces, dipole-dipole, hydrogen bonding, viscosity, surface tension, phase changes, phase diagram, triple point, critical point, Boyle's law, gas laws, Dalton's law, solutions, molarity, molality, colligative properties, boiling point elevation, freezing point depression, Tyndall effect, calorimetry, specific heat, enthalpy, Hess's law, entropy, Gibbs free energy, spontaneity


Big Picture

These chapters move from the forces between molecules (which determine whether something is a solid, liquid, or gas) through the quantitative behaviour of gases and solutions, and finally into the energy changes that accompany chemical reactions. Chapter 13 covers intermolecular forces and phase changes. Chapter 14 is the gas laws. Chapter 15 deals with solutions and their properties. Chapter 16 introduces thermochemistry, including enthalpy, Hess's law, entropy, and Gibbs free energy. Together, these chapters teach you to predict physical properties, calculate concentrations, and determine whether a reaction will release or absorb energy.


TL;DR

Intermolecular forces (dispersion, dipole-dipole, hydrogen bonds) control whether a substance is solid, liquid, or gas, plus properties like viscosity and surface tension. Gas behaviour follows Boyle's law and other relationships. Solutions have colligative properties that depend on solute particle count, not identity. Energy changes in reactions are measured as enthalpy, and spontaneity depends on the balance between enthalpy and entropy (Gibbs free energy).


Key Terms

Intermolecular forces (IMFs)

Forces of attraction between molecules. Weaker than intramolecular (bonding) forces. The three types are dispersion forces, dipole-dipole forces, and hydrogen bonds.

Dispersion forces (London forces)

Weak, temporary attractions caused by momentary shifts in electron density. Present in all molecules. Dominant in nonpolar molecules. Strength increases with more electrons (larger molecules).

Dipole-dipole forces

Attractions between the permanent partial charges on polar molecules. Stronger than dispersion forces for molecules of similar size.

Hydrogen bond

A particularly strong dipole-dipole force that occurs when hydrogen is bonded to fluorine, oxygen, or nitrogen (small, highly electronegative atoms with lone pairs). This is why water has unusually high boiling point and surface tension.

Viscosity

A measure of a liquid's resistance to flow. Higher intermolecular forces, larger particles, and lower temperatures all increase viscosity.

Surface tension

The energy required to increase the surface area of a liquid. Caused by the inward pull on surface molecules. Water's high surface tension comes from its extensive hydrogen bonding.

Cohesion

Attraction between identical molecules (water to water).

Adhesion

Attraction between different molecules (water to glass).

Capillary action

The ability of a liquid to flow in narrow spaces against gravity, caused by adhesion being stronger than cohesion. Creates the concave meniscus in a glass tube.

Crystalline solid

A solid with atoms, ions, or molecules arranged in an orderly, repeating 3D structure.

Amorphous solid

A solid without a regular repeating pattern (e.g. glass, rubber).

Melting point

The temperature at which the forces holding a crystal lattice together are overcome, converting solid to liquid.

Boiling point

The temperature at which a liquid's vapour pressure equals the external (atmospheric) pressure.

Vapour pressure

The pressure exerted by a vapour above its liquid in a closed container. Higher temperature = higher vapour pressure.

Sublimation

The direct change from solid to gas, skipping the liquid phase.

Deposition

The direct change from gas to solid, skipping the liquid phase.

Phase diagram

A graph of pressure vs temperature showing the conditions under which each phase (solid, liquid, gas) is stable.

Triple point

The specific temperature and pressure where all three phases coexist in equilibrium.

Critical point

The temperature and pressure above which a distinct liquid phase cannot exist.

Kinetic-molecular theory

A model describing gas behaviour: gas particles are tiny, far apart, in constant random motion, and their collisions are perfectly elastic (no kinetic energy lost).

Elastic collision

A collision in which kinetic energy may transfer between particles, but the total kinetic energy is conserved.

Diffusion

The movement of one substance through another. Lighter particles diffuse faster.

Effusion

The escape of gas particles through a tiny opening.

Graham's law of effusion

Rate A / Rate B = √(molar mass B / molar mass A). Lighter gases effuse faster.

Boyle's law

At constant temperature, pressure and volume are inversely proportional: P₁V₁ = P₂V₂.

Dalton's law of partial pressures

The total pressure of a gas mixture equals the sum of the partial pressures of each gas.

Heat of solution

The energy change during the solvation process.

Saturated solution

A solution at dynamic equilibrium where the rate of dissolving equals the rate of crystallisation.

Supersaturated solution

A solution containing more dissolved solute than a saturated solution at that temperature. Adding a seed crystal or disturbing it can trigger rapid crystallisation.

Henry's law

S₁/P₁ = S₂/P₂. The solubility of a gas in a liquid is directly proportional to the pressure of that gas above the liquid.

Molarity (M)

Moles of solute per litre of solution.

Molality (m)

Moles of solute per kilogram of solvent.

Dilution equation

M₁V₁ = M₂V₂. Used when diluting a solution to a lower concentration.

Colligative properties

Properties that depend on the number of dissolved solute particles, not their identity: vapour pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure.

Nonvolatile solute

A solute with no tendency to evaporate. Adding it to a solvent lowers the solvent's vapour pressure.

Osmotic pressure

The extra pressure caused by water molecules moving across a semi-permeable membrane into a more concentrated solution.

Tyndall effect

The scattering of light by colloidal particles. Solutions show no Tyndall effect; colloids and suspensions do.

Specific heat (c)

The amount of heat required to raise 1 gram of a substance by 1°C. Water's specific heat is 4.184 J/g°C.

Calorimeter

An insulated device used to measure heat absorbed or released during a chemical or physical process.

Enthalpy (H)

The heat content of a system at constant pressure. You cannot measure absolute enthalpy, only the change (ΔH).

Enthalpy of reaction (ΔH_rxn)

ΔH = H(products) – H(reactants). Negative = exothermic; positive = endothermic.

Exothermic reaction

Releases heat to the surroundings. ΔH < 0.

Endothermic reaction

Absorbs heat from the surroundings. ΔH > 0.

Thermochemical equation

A balanced equation that includes the physical states of all substances and the enthalpy change.

Hess's law

If a reaction can be expressed as the sum of two or more simpler reactions, ΔH for the overall reaction equals the sum of the ΔH values for those steps. Used when direct measurement is not feasible.

Standard enthalpy of formation (ΔH°f)

The enthalpy change for forming one mole of a compound from its elements in their standard states. Elements in their standard state have ΔH°f = 0.

Standard state

298 K (25°C) and 1 atm. Different from STP (0°C and 1 atm).

Entropy (S)

A measure of the disorder or randomness of particles in a system. Higher entropy = more disorder.

Gibbs free energy (ΔG)

ΔG = ΔH – TΔS. Determines spontaneity. ΔG < 0: spontaneous. ΔG > 0: nonspontaneous.


Core Content

Chapter 13 – States of Matter

Intermolecular forces (weakest to strongest for molecules of similar size)

  • Dispersion forces: present in all molecules; dominant in nonpolar substances; strength grows with molecular size

  • Dipole-dipole forces: between polar molecules; stronger than dispersion at similar molecular weight

  • Hydrogen bonds: between molecules where H is bonded to F, O, or N; strongest IMF type among small molecules

Liquid properties

  • Density: much greater than gases, compressible to a very limited extent

  • Viscosity: resistance to flow; increases with stronger IMFs, larger molecules, and lower temperature

  • Surface tension: inward pull from interior molecules; water is high because of hydrogen bonding

  • Capillary action: adhesion > cohesion = liquid climbs (concave meniscus for water in glass)

Water's unusual properties

  • Maximum density at 4°C; ice is less dense than liquid water (ice floats)

  • This is why lakes freeze from the top down, keeping aquatic life alive underneath

Solids

  • Crystalline: ordered 3D structure (ionic crystals, metallic, molecular, covalent network)

  • Amorphous: disordered (glass, rubber)

  • Molecular solids are held together by IMFs (dispersion, dipole-dipole, hydrogen bonds)

Phase changes

  • Melting/freezing, vaporisation/condensation, sublimation/deposition

  • Evaporation: vaporisation at the surface only

  • Boiling: vaporisation throughout the liquid, occurs when vapour pressure = external pressure

Phase diagrams

  • Triple point: all three phases coexist; all six phase changes can occur

  • Critical point: above this temperature and pressure, liquid and gas become indistinguishable

Chapter 14 – Gas Laws

Kinetic-molecular theory assumptions

  • Gas particles do not attract or repel each other

  • Particles are much smaller than the distances between them

  • Constant, random motion; elastic collisions

  • All gases have the same average KE at a given temperature

  • KE = ½mv²

Key relationships

  • Boyle's law: P₁V₁ = P₂V₂ (T constant, inverse relationship)

  • Dalton's law: P(total) = P₁ + P₂ + P₃ + ...

Graham's law

  • Rate A / Rate B = √(molar mass B / molar mass A)

  • Lighter gases effuse and diffuse faster

Chapter 15 – Solutions

Solubility and saturation

  • Saturated: dynamic equilibrium between dissolving and crystallising

  • Supersaturated: excess solute remains dissolved; a seed crystal or disturbance triggers crystallisation

  • Henry's law (gases): S₁/P₁ = S₂/P₂ (higher pressure = more gas dissolved)

Concentration units

  • Molarity (M) = moles solute / litres solution

  • Molality (m) = moles solute / kg solvent

  • Dilution: M₁V₁ = M₂V₂

Colligative properties

  • Depend on the number of dissolved particles, not their chemical identity

  • Adding a nonvolatile solute lowers vapour pressure (solute particles block surface evaporation)

  • Boiling point elevation: solute raises the boiling point

  • Freezing point depression: solute lowers the freezing point

  • Osmotic pressure: water moves toward higher solute concentration through a membrane

  • Electrolytes dissociate into ions, producing more particles per formula unit than nonelectrolytes

Mixtures, colloids, and suspensions

  • Suspensions: settle out, filterable, show Tyndall effect

    • Thixotropic: solid-like when settled, flows when stirred (e.g. paint)

  • Colloids: intermediate particle size, do not settle, show Tyndall effect

    • Stabilised by Brownian motion and electrostatic layering

    • Heating or adding electrolyte can break the colloid

  • Solutions: smallest particles, no settling, no Tyndall effect

Chapter 16 – Thermochemistry

Energy basics

  • Energy = ability to do work or produce heat

  • Chemical potential energy: energy stored in a substance due to its composition

  • Law of conservation of energy: energy is neither created nor destroyed

  • Heat (q) flows from hot to cold

Units and specific heat

  • 1 calorie = heat to raise 1 g of water by 1°C; 1 cal = 4.184 J

  • Specific heat of water: 4.184 J/g°C

  • q = c x m x ΔT (heat = specific heat x mass x temperature change)

Calorimetry

  • Measure q by tracking temperature change in a known mass of water

  • q(water) = –q(substance) in a closed calorimeter

  • System = the reaction; surroundings = everything else

Enthalpy

  • ΔH(rxn) = H(products) – H(reactants)

  • Exothermic: ΔH < 0 (energy appears on the products side)

  • Endothermic: ΔH > 0 (energy appears on the reactants side)

  • ΔH(vap) = –ΔH(cond); ΔH(fusion) = –ΔH(solidification)

Hess's law

  • ΔH for a reaction is the same regardless of the pathway, as long as the initial and final states are the same

  • Sum the ΔH values of individual steps (reversing a reaction flips the sign; multiplying the equation multiplies ΔH)

Standard enthalpy of formation (ΔH°f)

  • Enthalpy change for forming 1 mol of a compound from its elements in their standard states

  • Free elements in standard state: ΔH°f = 0

  • ΔH°(rxn) = Σ ΔH°f(products) – Σ ΔH°f(reactants)

Entropy (S)

  • Measure of disorder/randomness

  • Entropy increases: solid → liquid → gas; dissolving a solid in a solvent; increasing number of gas particles; increasing temperature

  • Entropy decreases: dissolving a gas in a liquid or solid solvent

Gibbs free energy

  • ΔG = ΔH – TΔS (T in kelvin)

  • ΔG < 0: spontaneous

  • ΔG > 0: nonspontaneous

Spontaneity depends on both ΔH and ΔS

  • –ΔH and +ΔS: always spontaneous

  • +ΔH and –ΔS: never spontaneous

  • Mixed signs: spontaneity depends on temperature

Important correction from the source material

  • The claim that "all exothermic processes are spontaneous and all endothermic processes are nonspontaneous" is false. Ice melting at room temperature is a spontaneous endothermic process.


Formulas and Diagrams

  • q = cmΔT (heat = specific heat x mass x temperature change)

  • Boyle's law: P₁V₁ = P₂V₂

  • Graham's law: Rate A / Rate B = √(molar mass B / molar mass A)

  • Dalton's law: P(total) = P₁ + P₂ + ...

  • Henry's law: S₁/P₁ = S₂/P₂

  • Dilution: M₁V₁ = M₂V₂

  • Percent yield: (actual / theoretical) x 100

  • Gibbs free energy: ΔG = ΔH – TΔS

  • Hess's law: ΔH(rxn) = Σ ΔH°f(products) – Σ ΔH°f(reactants)


Real-World Applications

  • Hydrogen bonding in water is responsible for ice floating, which insulates lakes in winter and keeps aquatic ecosystems alive. This is also why water has an unusually high specific heat, making it an excellent coolant in car radiators and industrial processes.

  • Colligative properties explain why salt is spread on icy roads (freezing point depression) and why antifreeze works in car engines (both boiling point elevation and freezing point depression).

  • Hess's law is used industrially to calculate energy requirements for reactions that cannot be safely run in a calorimeter.


Common Misconceptions

  • Students often assume hydrogen bonding involves a bond to hydrogen in general. It specifically requires hydrogen bonded to F, O, or N. H bonded to carbon, for example, does not form hydrogen bonds.

  • A frequent error: thinking that exothermic = spontaneous and endothermic = nonspontaneous. Spontaneity depends on ΔG, which accounts for both enthalpy and entropy. Ice melts spontaneously at room temperature despite being endothermic.

  • Students sometimes confuse molarity and molality. Molarity uses litres of solution; molality uses kilograms of solvent. They are not interchangeable.

  • In Boyle's law problems, students occasionally forget that temperature must be held constant for P₁V₁ = P₂V₂ to apply.


Why It Matters / Exam Flags

⚠️ Identifying the type and relative strength of IMFs for a given molecule is a common exam question. Practise classifying molecules by their dominant intermolecular force.

⚠️ Phase diagram questions (identifying the triple point, reading which phase exists at given conditions) appear frequently.

⚠️ q = cmΔT calculations are tested both on their own and embedded in calorimetry problems.

⚠️ Gibbs free energy: know the sign conventions and be able to determine spontaneity from ΔH and ΔS at a given temperature.

⚠️ Hess's law problems (summing thermochemical equations) are a staple of the final. Practise reversing equations and adjusting ΔH.

⚠️ Know the difference between colligative and non-colligative properties, and why electrolytes produce a greater effect than nonelectrolytes.


Quick Self-Test

  1. True or False: Hydrogen bonds can form between any molecule that contains hydrogen.

  1. Fill in the blank: At 4°C, liquid water has its __________ density.

  1. True or False: According to Boyle's law, doubling the pressure on a gas at constant temperature will double its volume.

  1. Fill in the blank: A reaction with ΔG < 0 is __________.

  1. True or False: Molality uses litres of solution as its denominator.


Practice Q&A

Q: Rank the following in order of increasing boiling point: CH₄, H₂O, HCl.

A: CH₄ < HCl < H₂O. CH₄ is nonpolar (dispersion only). HCl is polar (dipole-dipole). H₂O has hydrogen bonding, the strongest IMF here.

Q: A gas occupies 2.0 L at 1.0 atm. What volume will it occupy at 4.0 atm (constant temperature)?

A: P₁V₁ = P₂V₂. (1.0)(2.0) = (4.0)(V₂). V₂ = 0.50 L.

Q: Calculate the heat absorbed when 50.0 g of water is heated from 25.0°C to 75.0°C.

A: q = cmΔT = (4.184)(50.0)(50.0) = 10,460 J = 10.5 kJ.

Q: Is a reaction with ΔH = +100 kJ and ΔS = +200 J/K spontaneous at 600 K?

A: ΔG = ΔH – TΔS = 100,000 – (600)(200) = 100,000 – 120,000 = –20,000 J = –20 kJ. Yes, spontaneous at 600 K.

Q: What is the molarity of a solution made by dissolving 5.85 g of NaCl (molar mass 58.44 g/mol) in enough water to make 500.0 mL of solution?

A: Moles NaCl = 5.85 / 58.44 = 0.1001 mol. M = 0.1001 / 0.5000 = 0.200 M.


Connections to Other Topics

  • Intermolecular forces determine solubility, which is central to solution chemistry (Ch. 15), acids and bases (Ch. 19), and equilibrium (Ch. 18).

  • Thermochemistry connects directly to equilibrium (Le Chatelier's principle uses ΔH to predict shifts) and electrochemistry (cell potentials relate to ΔG).

  • Gas laws reappear in stoichiometry problems involving gaseous reactants or products.


Related Terms / Search Tags

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