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CDS Chemistry · Carbon and Its Compounds

Hydrocarbons and Fuels

The general formulas of alkanes, alkenes and alkynes, benzene's structure, why some fuels burn with a sooty flame, and what octane and cetane numbers measure.

Why this matters

Six CDS questions, three of them from the 2024 and 2025 papers. The fuel-rating questions (octane, cetane) are the newest and the hardest; the rest test one formula or one flame.

Concept 1 of 3: Alkanes, alkenes, alkynes and benzene

A hydrocarbon contains only carbon and hydrogen. If every carbon-carbon bond is single, the compound is saturated and holds as many hydrogens as it can. Each double bond removes two hydrogens; a triple bond removes four.

Definition

The series:

  • Alkanes (saturated, single bonds only): CₙH₂ₙ₊₂ — methane CH₄, ethane C₂H₆.
  • Alkenes (one double bond): CₙH₂ₙ — ethene C₂H₄.
  • Alkynes (one triple bond): CₙH₂ₙ₋₂ — ethyne C₂H₂.
  • Name stems give the number of carbons: meth 1, eth 2, prop 3, but 4, pent 5, hex 6, … hexadec 16.
  • Benzene C₆H₆ is a flat ring: each carbon makes sigma bonds to two carbons at 120°, the pi electrons are delocalised above and below the ring, and every C–C bond is the same length, between single and double. Benzene itself has no isomers.

General formulas

alkane CnH2n+2alkene CnH2nalkyne CnH2n−2\text{alkane } C_nH_{2n+2} \qquad \text{alkene } C_nH_{2n} \qquad \text{alkyne } C_nH_{2n-2}

Worked example

Write the molecular formulas of the alkane, the alkene and the alkyne that each contain four carbon atoms.
Practice this conceptself-check · 4 quick reps

The same idea in a real exam question:

CDS · 2025 · CDS (II) 2025 — General Knowledge · Q35Moderate

Example 1 · Carbon and Its Compounds · Hydrocarbons and Fuels

Which one of the following statements is not correct for benzene ?

CₙH₂ₙ₊₁ is a group, not a compound

Formulas with an odd number of hydrogens, such as CₙH₂ₙ₊₁, describe an alkyl group (methyl, ethyl), not a stable hydrocarbon. Saturated hydrocarbons are CₙH₂ₙ₊₂.

Benzene has no isomers of its own

All six carbons and all six hydrogens in benzene are equivalent, so 'benzene has six isomers' is false. Its C–C bonds are all the same length.

Concept 2 of 3: Clean and sooty flames

A flame is yellow and smoky when there is not enough oxygen to burn all the carbon. Fuels rich in carbon compared with hydrogen, such as unsaturated and aromatic compounds, run short of oxygen first.

Definition

The rule:

  • Saturated hydrocarbons burn with a clean blue flame when air is enough.
  • Unsaturated hydrocarbons (and aromatics such as naphthalene) burn with a yellow, sooty flame.
  • The soot is unburnt carbon: the cause is incomplete combustion, because the carbon-to-hydrogen ratio is high.
FuelFlameWhy
Saturated (methane, LPG)Blue, cleanBurns completely
Unsaturated hydrocarbonsYellow, sootyIncomplete combustionQ
Naphthalene (aromatic)Yellow, sootyHigh carbon to hydrogen ratio, so incomplete combustionQ
CDS 2023 (I): the reason is incomplete combustion. 'The carbon to hydrogen ratio is low' states the reverse.
Practice this concept3 quick reps

The same idea in a real exam question:

CDS · 2022 · CDS (I) 2022 — General Knowledge · Q11Moderate

Example 2 · Carbon and Its Compounds · Hydrocarbons and Fuels

While burning hydrocarbon fuels, if we see a yellow flame with lots of black smoke, it means that the fuel is :

Sooty means carbon-rich, not carbon-poor

A sooty flame comes from a high carbon-to-hydrogen ratio and incomplete combustion. Excess air would give a cleaner flame, not a sootier one.

Concept 3 of 3: Octane and cetane numbers

Petrol and diesel are rated on opposite qualities. A petrol should resist igniting too early (knocking), so a high octane number is good. A diesel should ignite quickly when compressed, so a high cetane number is good.

Definition

The two ratings:

  • Octane number (petrol): resistance to knocking. Iso-octane = 100, n-heptane = 0.
  • Among straight-chain alkanes the octane number falls as the chain gets longer. Branching and rings raise it.
  • So butane > cyclohexane > pentane > hexane: the ring puts cyclohexane above the five- and six-carbon chains, but still below butane.
  • Cetane number (diesel): ease of ignition. Cetane is n-hexadecane (C₁₆H₃₄), rated 100.
RatingForReference fuel = 100
Octane numberPetrol (resists knocking)Iso-octaneQ
CDS 2024 (I), HARD: butane > cyclohexane > pentane > hexane.
Cetane numberDiesel (ignites easily)Cetane (n-hexadecane)Q
Practice this concept4 quick reps

The same idea in a real exam question:

CDS · 2024 · CDS (I) 2024 — General Knowledge · Q39Moderate

Example 3 · Carbon and Its Compounds · Hydrocarbons and Fuels

Which one of the following is known as cetane?

Longer chain, lower octane

For straight-chain alkanes the octane number drops as carbons are added: butane > pentane > hexane. A ring (cyclohexane) raises it above the matching chain.

Summary — formulas & gotchas at a glance

A revision cheat-sheet for the formulas and gotchas above. Click any concept name to jump back to its full explanation.

Formulas (1)

  • Alkanes, alkenes, alkynes and benzene

    General formulas

    alkane CnH2n+2alkene CnH2nalkyne CnH2n−2\text{alkane } C_nH_{2n+2} \qquad \text{alkene } C_nH_{2n} \qquad \text{alkyne } C_nH_{2n-2}

Reference tables (2)

Clean and sooty flames3 rows
FuelFlameWhy
Saturated (methane, LPG)Blue, cleanBurns completely
Unsaturated hydrocarbonsYellow, sootyIncomplete combustionQ
Naphthalene (aromatic)Yellow, sootyHigh carbon to hydrogen ratio, so incomplete combustionQ
CDS 2023 (I): the reason is incomplete combustion. 'The carbon to hydrogen ratio is low' states the reverse.
Octane and cetane numbers2 rows
RatingForReference fuel = 100
Octane numberPetrol (resists knocking)Iso-octaneQ
CDS 2024 (I), HARD: butane > cyclohexane > pentane > hexane.
Cetane numberDiesel (ignites easily)Cetane (n-hexadecane)Q

Watch out for (4)

Test yourself on Carbon and Its Compounds

10 past CDS questions from this chapter, timed at 10 minutes and marked the way the exam marks it. You see your score and every answer the moment you finish. Free to start.