Building Chemistry Map
Chapter 01 • Solutions
Chapter 01 • Physical Chemistry

Solutions
Interactive Mind Map

A structured visual guide to the chemistry of solutions — from concentration and solubility to Henry's law, vapour pressure, ideal and non-ideal behaviour, colligative properties, osmotic pressure and abnormal molar mass.

S
Overview Concentration Solubility Henry's Law Ideal / Non-Ideal Colligative Formula Bank Graphs

The Chapter at a Glance

Click any concept card for a focused explanation.

SOLUTIONS CHAPTER 01
01

Concentration

Mass %, volume %, ppm, mole fraction, molarity and molality.

02

Solubility

Saturation, temperature effects, pressure and dissolution behaviour.

03

Henry's Law

Gas pressure, mole fraction and gas solubility in liquids.

04

Ideal & Non-Ideal

Raoult's law, deviations, azeotropes and molecular interactions.

05

Colligative Properties

Vapour pressure, boiling point, freezing point and osmotic pressure.

06

Abnormal Molar Mass

Association, dissociation and van't Hoff factor.

01. Expressing Concentration

Different numerical ways to describe composition.

%

Percentage Methods

Percentage concentration compares the amount of a chosen component with the total quantity of the solution.

  • Mass percentage — useful for solid/liquid formulations.
  • Volume percentage — convenient when both quantities are measured as volumes.
  • Mass-by-volume percentage — frequently used for laboratory and pharmaceutical formulations.
χ

Mole Fraction

Mole fraction expresses the share of one component in terms of total moles present. It is especially useful in vapour-pressure and phase-equilibrium calculations.

M

Molarity

Molarity is based on the volume of the complete solution. Because liquid volume can change with temperature, molarity is temperature dependent.

m

Molality

Molality relates moles of solute to the mass of solvent. Since mass does not change simply because temperature changes, molality is preferred in many temperature-sensitive calculations.

ppm

Parts Per Million

ppm is designed for very small concentrations. It is commonly encountered in environmental chemistry, water analysis and trace-component measurements.

⚗

Concentration Selection

The most useful concentration unit depends on what is being measured and what kind of calculation is required. Mass-based units are generally less sensitive to temperature than volume-based units.

02. Solubility & Dissolution

Why substances dissolve — and what controls the limit.

S

Solubility

Solubility describes the maximum amount of a substance that can dissolve in a specified amount of solvent under specified conditions, especially temperature and pressure.

1

Unsaturated Solution

The solution contains less dissolved solute than its equilibrium capacity. Additional solute can therefore dissolve under the same conditions.

2

Saturated Solution

At equilibrium, the solvent has reached its dissolution capacity. Adding more solute does not increase the dissolved amount under the same conditions.

Temperature rule:

For many solids, dissolution becomes more favourable as temperature rises when the process is endothermic. If dissolution releases heat, increasing temperature can have the opposite effect. Gas solubility in liquids generally decreases as temperature increases.

03. Henry's Law

Pressure–solubility relationship for gases.

Henry's Law
p = KH χ
At constant temperature, the partial pressure of a gas above a solution is proportional to its mole fraction in the liquid phase.
Solubility insight
KH ↑ → χ ↓
With the same gas pressure, a larger Henry constant corresponds to lower dissolved gas concentration.
CO₂

Carbonated Drinks

Pressurising a beverage encourages carbon dioxide to remain dissolved. Opening the container reduces pressure and allows dissolved gas to escape.

O₂

Dissolved Oxygen

Aquatic ecosystems depend on dissolved oxygen. Since warmer water generally holds less oxygen, rising temperature can reduce oxygen availability.

⚓

Diving & Pressure

Increased pressure can increase gas dissolution in body fluids. Controlled ascent is therefore essential when pressure changes rapidly.

04. Ideal & Non-Ideal Solutions

How molecular interactions change solution behaviour.

✓

Ideal Solution

An ideal solution follows Raoult's law throughout its composition range. Interactions between unlike molecules are approximately comparable to those between like molecules.

  • ΔHmix ≈ 0
  • ΔVmix ≈ 0
  • Raoult's law is obeyed.
+

Positive Deviation

If unlike-molecule attraction is weaker than the original interactions, molecules escape more readily into the vapour phase.

  • Vapour pressure becomes higher than ideal.
  • ΔHmix > 0
  • ΔVmix > 0
  • Can produce minimum-boiling azeotropes.
−

Negative Deviation

Stronger unlike-molecule interactions hold molecules more tightly in the liquid phase. The vapour pressure consequently becomes lower than the ideal prediction.

  • ΔHmix < 0
  • ΔVmix < 0
  • Can produce maximum-boiling azeotropes.
A

Azeotropes

An azeotropic mixture has a vapour composition that matches the liquid composition at a particular composition and boils at a constant temperature. Ordinary fractional distillation cannot completely separate such a mixture.

I

Molecular Interaction Test

A useful conceptual question is: “Are unlike molecules attracting each other more strongly or less strongly than they did in the original liquids?” The answer predicts the direction of deviation.

05. Colligative Properties

Properties governed primarily by the number of solute particles.

↓

Relative Lowering of Vapour Pressure

Adding a non-volatile solute reduces the fraction of solvent molecules available to escape into the vapour phase.

↑

Elevation of Boiling Point

A solution containing a non-volatile solute generally requires a higher temperature to reach the external pressure needed for boiling.

↓

Depression of Freezing Point

Dissolved particles lower the temperature at which the solvent's solid and liquid phases reach equilibrium.

π

Osmotic Pressure

Osmotic pressure is the pressure that must be applied to a solution to stop the net movement of solvent through a semipermeable membrane.

Formula Bank

Exam-focused equations in a separate visual layer.

Mass percentage
Mass % = Mass of solute / Mass of solution × 100
Useful when both numerator and denominator are expressed by mass.
Volume percentage
Volume % = Volume of component / Total volume of solution × 100
Mass by volume
(w/v)% = Mass of solute / Volume of solution × 100
Parts per million
ppm = Parts of component / Total parts × 106
Mole fraction
χi = ni / Σn
Molarity
M = nsolute / Vsolution(L)
Molality
m = nsolute / Mass of solvent (kg)
Henry's law
p = KHχ
Raoult's law
pi = xipi0
Total vapour pressure
Ptotal = Σpi
Osmotic pressure
π = CRT
For dilute solutions in the ideal approximation.
Boiling point elevation
ΔTb = Kbm
Freezing point depression
ΔTf = Kfm
Vapour pressure lowering
Δp/p0 ≈ xsolute
van't Hoff factor
i = Observed colligative property / Calculated property
Modified colligative equations
ΔTb = iKbm    |    ΔTf = iKfm

Concept Graphs

Drawn entirely with SVG — no image files required.

Vapour Pressure vs Mole Fraction

Ideal binary liquid solution — schematic representation.

Mole fraction Vapour pressure p₁ p₂

Boiling Point Elevation

Addition of non-volatile solute shifts the boiling point upward.

ΔTᵦ Temperature Vapour pressure

Freezing Point Depression

A solution freezes at a lower temperature than the corresponding pure solvent.

ΔTᶠ Temperature Vapour pressure

Choosing the Right Concentration Unit

A quick revision comparison.

Quantity Based On Main Advantage Temperature Sensitivity
Mass % Mass of solution Simple composition reporting Very low
Volume % Volume of solution Convenient for liquid mixtures Relatively high
ppm Trace quantities Extremely dilute systems Depends on definition
Mole fraction Number of moles Phase-equilibrium calculations Low
Molarity Solution volume Common laboratory calculations Yes
Molality Solvent mass Temperature-independent mass basis Very low

One-Minute Revision Flow

Use this sequence before solving questions.

1

Identify the Components

Decide which substance is the solvent and which is the solute.

2

Choose the Unit

Look at whether the question gives mass, volume, moles, solvent mass or trace concentration.

3

Check Temperature

Be careful whenever solution volume or molarity appears.

4

Select the Law

Vapour pressure → Raoult; gas solubility → Henry; particle effects → colligative relations.

5

Check Association / Dissociation

If experimental and theoretical values disagree, consider the van't Hoff factor.

6

Apply Units Carefully

Convert litres, kilograms, grams and temperature units before substituting into equations.

Chapter takeaway:

The central idea of the chapter is that adding one component to another changes measurable physical properties according to composition, molecular interactions and the number of dissolved particles. Once concentration units, solubility behaviour, vapour-pressure laws and colligative relationships are connected, most of the chapter becomes a single logical system rather than a collection of unrelated formulas.