Introduction

Chemistry studies matter and its transformations. Every substance has physical & chemical properties.

Matter and Its Classification

Matter is anything that has mass and occupies space. It can exist in different states: solid, liquid, gas, and plasma. Matter can be broadly classified into pure substances (elements and compounds) and mixtures (homogeneous and heterogeneous).

Laws of Chemical Combination
LawStatementExample
Conservation of Mass (Lavoisier)Matter can neither be created nor destroyed.C + O₂ → CO₂ (12g + 32g = 44g)
Definite Proportions (Proust)A given compound always contains exactly the same proportion of elements by weight.H₂O always has H:O in 1:8 mass ratio.
Multiple Proportions (Dalton)If two elements form more than one compound, the masses of one element that combine with a fixed mass of the other are in the ratio of small whole numbers.CO and CO₂.
Gay-Lussac's Law of Combining VolumesWhen gases combine in a chemical reaction, they do so in a simple ratio by volume provided all gases are at same T and P.H₂ + Cl₂ → 2HCl
Avogadro's LawEqual volumes of all gases at the same temperature and pressure should contain equal number of molecules.1L H₂ and 1L O₂ have same molecules.

Atomic and Molecular Theory

According to Dalton's Atomic Theory, matter consists of indivisible atoms. All atoms of a given element have identical properties. Compounds are formed when atoms of different elements combine in a fixed ratio. Atoms can neither be created nor destroyed in a chemical reaction.

We measure Atomic mass in amu (atomic mass unit) or u (unified mass). Molecular mass is the sum of atomic masses of the elements present in a molecule. Formula mass is used for ionic compounds.

Mole Concept

The mole concept provides a bridge between the macroscopic and microscopic worlds. A mole is the amount of substance that contains as many particles as there are atoms in exactly 12g of the carbon-12 isotope.

⚠️ Warning

Molar mass ≠ Molecular mass. Molar mass is in g/mol (macroscopic), molecular mass is in amu (atomic scale). For H₂O: mol. mass = 18 amu, molar mass = 18 g/mol.

Avogadro's Number

1 mole = 6.022 × 10²³ particles. This is known as Avogadro's Number (Nₐ). Molar mass is the mass of 1 mole of a substance in grams.

Moles = Mass / Molar Mass N = n × Nₐ (Nₐ = 6.022 × 10²³)
Common Molar Masses
Element/CompoundFormulaMolar Mass (g/mol)
HydrogenH1
OxygenO16
WaterH₂O18
Sodium ChlorideNaCl58.5
Carbon DioxideCO₂44
Sulfuric AcidH₂SO₄98

Concentration Terms

The concentration of a solution expresses the amount of solute present in a given amount of solvent or solution.

Molarity (M) = moles / Volume(L) Molality (m) = moles / kg of solvent Mole fraction = nA / (nA + nB)

Mass percentage is the mass of solute per 100g of the solution.

Solved Examples

Example 1

(a) Find moles in 36g of H₂O.

Moles = Given mass / Molar mass = 36g / 18 g/mol = 2 moles.

Example 2

(b) Find number of molecules in 0.5 mol CO₂.

N = n × Nₐ = 0.5 × 6.022 × 10²³ = 3.011 × 10²³ molecules.

Example 3

(c) Find molarity of 4g NaOH in 500mL solution.

Molar mass of NaOH = 40 g/mol.
Moles of NaOH = 4 / 40 = 0.1 mol.
Volume = 500 mL = 0.5 L.
Molarity = 0.1 / 0.5 = 0.2 M.