Home Notes Papers

Formulae, functional groups and terminology

Paper 1Paper 2Paper 3Paper 4

This section is examined in Paper 1, Paper 2, Paper 3 and Paper 4.

Displayed Formulae

Definition: A displayed formula shows all the atoms and all the bonds in a molecule. It provides a complete visual map of the structure.

Key Rules for Drawing:

  1. Carbon (C) always forms 4 bonds. If you see a carbon with fewer than 4 lines attached, it is incorrect.
  2. Hydrogen (H) always forms 1 bond.
  3. Oxygen (O) typically forms 2 bonds.
  4. You must draw every single bond line explicitly. Do not use condensed notation here.
Why this matters: Examiners use displayed formulae to test if you understand valency (bonding capacity). A common error is drawing a carbon atom with 5 bonds or leaving out hydrogen atoms attached to carbons.
Structural Formula

Definition: A structural formula is an unambiguous description of the way the atoms in a molecule are arranged, showing how they are connected but not necessarily all bonds (unlike displayed formula).

How to recognize it:

  • It groups atoms together (e.g., CH_3, OH) rather than drawing every bond.
  • It shows the order of atoms clearly.
  • Examples: CH_2=CH_2, CH_3CH_2OH, CH_3COOCH_3.
Comparing Formula Types
Formula TypeDescription
Displayed FormulaShows every atom and every bond. (e.g., Ethene: H_2C=CH_2 drawn with lines)
Structural FormulaShows arrangement/grouping but omits some bonds. (e.g., Ethene: CH_2=CH_2)
Molecular FormulaShows only the number of each atom type. (e.g., Ethene: C_2H_4)

Note on Structural Isomers: Compounds with the same molecular formula but different structural formulae are called structural isomers. They have the same atoms but arranged differently.

Example: C_4H_{10} can be:

  1. CH_3CH_2CH_2CH_3 (straight chain)
  2. CH_3CH(CH_3)CH_3 (branched chain)
⚠︎ Bonding Errors in Carbon
The Error: Drawing a carbon atom with 5 bonds or fewer than 4 bonds.

The Correct Understanding: Carbon is in Group 4 and has 4 valence electrons. It must form exactly 4 covalent bonds to be stable. If you draw a structure where a carbon has 5 lines attached, or only 3, the structure is chemically impossible.

Drawing Displayed Formulae
When to use: When asked to 'draw the displayed formula' of a molecule.

Why examiners accept this: They are checking for correct valency. Every carbon must have 4 bonds, every hydrogen 1 bond.

Correct Usage Example:
Question: Draw the displayed formula of ethene (C_2H_4).
Answer: You must draw two carbon atoms connected by a double bond (C=C), and each carbon must have two single bonds to hydrogen atoms. Do not write CH_2=CH_2; you must draw the lines.

Homologous Series

Definition: A homologous series is a family of similar compounds with similar chemical properties due to the presence of the same functional group.

General Characteristics (Must know all 5):

  1. Same functional group: All members have the same reactive part.
  2. Same general formula: They follow a mathematical pattern (e.g., C_nH_{2n+2}).
  3. Differ by a –CH₂– unit: Consecutive members differ by one carbon and two hydrogens (CH_2).
  4. Trend in physical properties: Properties like boiling point change predictably as chain length increases.
  5. Similar chemical properties: They undergo the same types of reactions.
Saturated vs Unsaturated
Saturated Compound: A compound in which all carbon–carbon bonds are single bonds. (e.g., Alkanes).

Unsaturated Compound: A compound in which one or more carbon–carbon bonds are not single bonds (i.e., they contain double or triple bonds). (e.g., Alkenes).

Note: The term 'unsaturated' specifically refers to the carbon-carbon bonding, not combustion.

General Formulae of Key Series
Homologous SeriesGeneral FormulaFunctional Group
AlkanesC_nH_{2n+2}None (only C-C single bonds)
AlkenesC_nH_{2n}Carbon-carbon double bond (C=C)
AlcoholsC_nH_{2n+1}OHHydroxyl group (-OH)
Carboxylic AcidsC_nH_{2n+1}COOHCarboxyl group (-COOH)

Understanding Carboxylic Acid Formula:
In the general formula C_nH_{2n+1}COOH, n represents the number of carbon atoms in the alkyl chain (the tail). The COOH part contains one additional carbon atom.

  • Total carbons = n + 1
  • Example: If n=1, the formula is CH_3COOH (ethanoic acid), which has 2 total carbons.
⚠︎ Confusing Functional Groups
The Error: Identifying the -OH group in a carboxylic acid (COOH) as an alcohol, or confusing alcohols with carboxylic acids.

The Correct Understanding:

  • An alcohol has an -OH group attached to a carbon chain (e.g., R-OH).
  • A carboxylic acid has the -COOH group, where the carbon is double-bonded to one oxygen and single-bonded to an -OH. The presence of the C=O bond next to the OH makes it a carboxylic acid, not an alcohol.

Also: Do not confuse 'unsaturated' (carbon-carbon double bonds) with 'incomplete combustion'. They are unrelated concepts.

Identifying Homologous Series Members
When to use: When asked 'Which compounds are in the same homologous series?' or 'Describe the characteristics of a homologous series'.

Why examiners accept this: They want to see that you understand members must share the same functional group and thus have similar chemical properties. They also expect you to note they differ by CH_2.

Correct Usage Example:
Question: State two characteristics of a homologous series.
Answer: 'Members have the same general formula' AND 'Members have similar chemical properties due to the same functional group.' (Do not just say 'they are similar'; specify why).

Practice Questions
Q:
Define the term structural isomers.
A:
Compounds with the same molecular formula but different structural formulae.
Q:
State what is meant by the term 'unsaturated' in organic chemistry.
A:
A compound containing one or more carbon-carbon double bonds (or bonds that are not single).
Q:
Identify the functional group present in propanoic acid (CH_3CH_2COOH).
A:
Carboxyl group (-COOH) or carboxylic acid group.
Q:
Describe how the physical properties of members of a homologous series change as the molecular mass increases.
A:
Physical properties (such as boiling point) show a trend / change predictably (usually increase).
Q:
What is the general formula for alcohols?
A:
C_nH_{2n+1}OH
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