Organic Chemistry 202-SNU-RE • CEGEP, Montreal

Revision sheet: hydrocarbons (202-SNU-RE)

Hydrocarbons are the entry chapter of organic chemistry, and it is where habits are formed: counting unsaturations before drawing, looking for the intermediate before predicting a product, checking a molecular formula before concluding.

This sheet leaves the course in your notes and gathers the moves that earn marks: calculating the degree of unsaturation, the three phases of a radical reaction, and the true rule of Markovnikov.

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The thread of the chapter

All the reactivity of hydrocarbons can be read from the stability of the INTERMEDIATE: a radical for alkanes, a carbocation for alkenes, and the same scale serves both.

This chapter is part of 202-SNU-RE, Organic Chemistry

The essentials

General formulas and degree of unsaturation

  • • Alkane CnH2n+2C_{n}H_{2n+2}, degree 00; alkene CnH2nC_{n}H_{2n}, degree 11; alkyne CnH2n−2C_{n}H_{2n-2}, degree 22.
  • • Degree of unsaturation: 2C+2+N−H−X2\dfrac{2C+2+N-H-X}{2}. It gives the TOTAL number of rings and π\pi bonds.
  • • A RING counts for one degree, exactly like a double bond: C6H12C_{6}H_{12} can be a hexene or a cyclohexane.
  • • A triple bond counts for two, an aromatic ring for four, three π\pi bonds plus the ring.
butaneC₄H₁₀DoU 0but-1-eneC₄H₈DoU 1but-1-yneC₄H₆DoU 2
Three four-carbon hydrocarbons: each π\pi bond removes two hydrogens from the molecular formula and adds a degree.

Calculate the degree of unsaturation BEFORE you start drawing: it tells you how many rings and multiple bonds you will have to place, and it eliminates half of the proposed structures.

Physical properties and combustion

  • • Boiling points RISE with chain length, since London forces increase with contact area.
  • • They FALL with branching, which makes the molecule more compact and reduces this area.
  • • Complete combustion: CnH2n+2+3n+12O2→nCO2+(n+1)H2OC_{n}H_{2n+2}+\dfrac{3n+1}{2}O_{2}\rightarrow nCO_{2}+(n+1)H_{2}O.
  • • With too little oxygen, carbon monoxide is produced, which is toxic, or even soot.
pentaneneopentane36 °C9.5 °Csame molecular formula, less contact area
Two isomers of formula C5H12C_{5}H_{12}: the more branched one boils 26.526.5 degrees lower, for lack of contact area between molecules.

Hydrocarbons are nonpolar: they are not miscible with water and float on it. This is the only solubility question that comes up in this chapter.

Radical halogenation, in three phases

  • • INITIATION: homolytic cleavage of X2X_{2} by light or heat, which creates the first radicals.
  • • PROPAGATION: two steps that consume one radical and REGENERATE one, which sustains the chain.
  • • TERMINATION: two radicals meet, which ends the chain.
  • • Stability of radicals, like that of carbocations: tertiary > secondary > primary > methyl.
initiationlightsplits X₂propagation1 radical in1 radical outtermination2 radicals0 outa step that does not regenerate a radical is not propagation
The criterion that tells a propagation from a termination: a propagation consumes one radical and produces another, a termination consumes two.

Chlorine is not very selective and attacks nearly everywhere; bromine is very selective and seeks the most substituted carbon. A statement that mentions bromine expects a single product.

Additions to alkenes, acidity of alkynes

  • • Usual additions: H2H_{2} with a catalyst, X2X_{2}, HXHX, and H2OH_{2}O in acid medium.
  • • MARKOVNIKOV: the hydrogen attaches so as to generate the more stable carbocation.
  • • The hydrogen on a terminal spsp carbon has a pKapK_{a} close to 2525, against 4444 for an alkene and 5050 for an alkane.
  • • The greater the ss character, the more stable the anion and the more acidic the hydrogen.
propeneH⁺+secondaryformedBr⁻Br2-bromopropane+primarytoo unstableand not
The proton attaches to give the secondary carbocation, more stable than the primary one: the bromine ends up on the central carbon.

Decolourization of bromine is the test for a multiple bond: an alkane does not decolourize it, an alkene and an alkyne do, and instantly.

The mistakes that cost marks

These are the errors I correct most often in session. Each one costs marks on a paper, even when the reasoning behind it is right.

1. Forgetting that a ring counts as an unsaturation

2 marks, and every structure proposed is incomplete

What not to write

“C6H12C_{6}H_{12} has degree 11, so it must be an alkene.”

What to write

“Degree 11 can be a double bond OR a ring: cyclohexane has the same molecular formula as a hexene.”

hex-1-eneone π bondcyclohexaneone ringsame C₆H₁₂, same DoU 1
Same formula C6H12C_{6}H_{12} and same degree 11: a double bond on the left, a ring on the right.

Why: Closing a ring uses up two hydrogens, exactly like creating a π\pi bond. The calculation cannot tell the two apart, and it is the statement or a chemical test that settles it.

2. Believing that branching raises the boiling point

1.5 marks, and the complete ranking of a series of isomers

What not to write

“Neopentane is more compact, so denser, so it boils higher.”

What to write

“A branched molecule offers LESS contact area: London forces are weaker and neopentane boils at 9.59.5 degrees against 3636 for pentane.”

Why: London forces depend on surface area, not on mass alone. Three isomers of the same molecular formula therefore rank by their shape, from the most linear to the most spherical.

3. Calling a step that does not regenerate a radical a propagation

1.5 marks, and the whole mechanism is marked wrong

What not to write

“CH3⋅+Cl⋅→CH3ClCH_{3}\cdot + Cl\cdot\rightarrow CH_{3}Cl: that is the second propagation step.”

What to write

“This step consumes TWO radicals and produces none: it is a termination.”

Why: A propagation sustains the chain: one radical in, one radical out. Simply counting the radicals on each side is enough to classify any step.

4. Expecting the same selectivity from chlorine as from bromine

1.5 marks, and a single product announced where there are several

What not to write

“Chlorine will attack the tertiary carbon, like bromine.”

What to write

“Chlorine is not very selective and gives a mixture of all possible products; only bromine clearly favours the most substituted carbon.”

0%50%100%36%64%Cl₂> 99%< 1%Br₂tertiary productprimary product
On isobutane, chlorine gives a mixture (64% primary product), bromine almost only the tertiary product.

Why: The chlorine radical is very reactive, hence not very choosy: its transition state resembles the reactants. The bromine radical, less reactive, lets the stability of the radical formed decide.

5. Applying Markovnikov's rule to a symmetrical addition

1 mark, and an invented regioselectivity

What not to write

“We add Br2Br_{2} following Markovnikov, so the first bromine goes to the carbon with more hydrogens.”

What to write

“The two atoms added are identical: there is nothing to orient, and the rule simply does not apply.”

propeneHBrunsymmetricalBrmajor+BrminorpropeneBr₂symmetricalBrBrone product onlynothing to orient
With HBrHBr, unsymmetrical, two products are possible and Markovnikov's rule chooses; with Br2Br_{2}, the two atoms added are identical and there is nothing to orient.

Why: Markovnikov's rule concerns only UNSYMMETRICAL reagents, such as HBrHBr or H2OH_{2}O. With H2H_{2}, Br2Br_{2} or Cl2Cl_{2}, the question does not arise.

6. Treating a terminal alkyne as a strong acid

2 marks, and the proposed synthesis does not work

What not to write

“The pKapK_{a} is 2525, so sodium hydroxide removes the terminal hydrogen.”

What to write

“A pKapK_{a} of 2525 is still far above that of water: a much stronger base is needed, sodium amide for example.”

01020304050pKawater 15.7terminal alkyne 25ammonia 38HO⁻: noNH₂⁻: yesthe reaction goes toward the weaker acid (larger pKa)
The alkyne (pKapK_{a} 25) gives up its proton only to a base whose conjugate acid is weaker: NH3NH_{3} (38) yes, water (15.7) no.

Why: An acid-base reaction only goes toward the weaker acid. With HO−HO^{-}, whose conjugate acid has a pKapK_{a} of 15.715.7, the equilibrium stays on the wrong side.

7. Believing that an alkane decolourizes bromine

1.5 marks on the identification question

What not to write

“The bromine solution is decolourized, so there is a hydrocarbon in the tube.”

What to write

“Only multiple bonds decolourize bromine in the cold and without light: an alkane reacts only in light, and slowly.”

alkene + Br₂decolourizedalkane + Br₂cold, dark:stays orange
The test is done in the cold and in the dark: only the multiple bond decolourizes bromine.

Why: The test distinguishes unsaturated from saturated compounds, which is its whole point. You must therefore state the conditions, no light and cold, otherwise radical halogenation muddles everything.

8. Cutting in the wrong place during an ozonolysis

2 marks, and the reconstructed structure is wrong

What not to write

“Ozonolysis cuts the carbon chain in two in the middle.”

What to write

“It cuts exactly the DOUBLE BOND, and each carbon that carried it becomes a carbonyl.”

herenot herepent-2-ene1) O₃2) ZnCH₃CHOethanal+Opropanal
The cut goes exactly through the double bond: pent-2-ene gives ethanal and propanal, never two pieces cut elsewhere.

Why: Ozonolysis is an identification tool: from two carbonyls you work back to the exact position of the double bond. The cut is made there and nowhere else.

9. Forgetting the s-cis conformation for a Diels-Alder reaction

2 marks, and it is the conformation question of the exam

What not to write

“The diene is conjugated, so the Diels-Alder reaction will take place.”

What to write

“The diene must also be able to adopt the s-cis conformation: a diene locked in s-trans does not react.”

s-cisboth ends on the same sides-transends on opposite sidesreactsdoes not react as is
To close the six-membered ring, the two ends of the diene must point to the same side: s-cis conformation.

Why: The six-membered ring formed requires the two ends of the diene to point to the same side. A steric lock then forbids the reaction, despite perfect conjugation.

Which method to choose

Which reagent for which transformation

Look at the starting functional group and the one you need to obtain.

  • If alkane to alkyl halide → X2X_{2} under light, accepting a mixture with chlorine

    Example: Br2Br_{2} attacks mainly the tertiary carbon

  • If alkene to alcohol, with Markovnikov orientation → H2OH_{2}O in acid medium, watching for rearrangements

    Example: the OHOH goes on the most substituted carbon

  • If alkene to alkane → H2H_{2} with a metal catalyst, SYN addition

    Example: both hydrogens arrive from the same side

  • If alkene to vicinal dihaloalkane → X2X_{2}, ANTI addition through the halonium bridge

    Example: the two halogens end up on opposite faces

  • If you want to locate an unknown double bond → ozonolysis, then work back from the carbonyls obtained

    Example: two identical ketones indicate a symmetrical alkene

All these additions consume one degree of unsaturation: the product must therefore have two more hydrogens, or two more substituents, than the reactant.

Working back to a structure from the products

Start from the fragments obtained and join them back together.

  • If ozonolysis gives two different aldehydes → the double bond was between two carbons each carrying a hydrogen

    Example: an unsymmetrical disubstituted alkene

  • If it gives a ketone and an aldehyde → one of the two double-bond carbons carried two substituents

    Example: a trisubstituted alkene

  • If it gives a single product in double quantity → the alkene was symmetrical

    Example: but-2-ene gives two molecules of ethanal

  • If combustion gives the amounts of CO2CO_{2} and H2OH_{2}O → count the carbons then the hydrogens, and conclude on the molecular formula

    Example: 0.20.2 mol of CO2CO_{2} and 0.30.3 mol of water for 0.10.1 mol of compound give C2H6C_{2}H_{6}

The degree of unsaturation calculated from the molecular formula obtained must match the proposed structure. If the two do not agree, it is the structure that is wrong.

How the answer is expected to be written

A marker ticks steps. Here they are in order, with the concluding sentence expected word for word.

Writing a complete radical mechanism

When to use it: The statement asks for the mechanism of a halogenation, or to justify the presence of a by-product.

  1. 1 State the three phases and name them.
  2. 2 Write the initiation with HOMOLYTIC cleavage, a single-barbed (fishhook) arrow for each electron.
  3. 3 Write BOTH propagation steps, checking that one radical goes in and one radical comes out of each.
  4. 4 Write at least one termination, and point out that it explains the by-products observed.

Concluding sentence

“The second propagation step regenerates the halogen radical, which sustains the chain: a single initiation is enough to convert thousands of molecules.”

The trap: Using double-barbed arrows where the mechanism is radical: a radical moves with ONE electron, hence a single-barbed (fishhook) arrow.

Marking: 1 mark for the initiation, 1 mark per propagation step, 1 mark for the termination.

Determining a molecular formula by combustion

When to use it: The statement gives the masses of carbon dioxide and water formed from a known mass or amount of compound.

  1. 1 Convert the masses into amounts of substance, writing out the molar masses.
  2. 2 Deduce the amounts of carbon and hydrogen: one CO2CO_{2} per carbon, two hydrogens per water molecule.
  3. 3 Divide by the amount of compound to obtain the subscripts.
  4. 4 Check with the degree of unsaturation, then write the molecular formula.

Concluding sentence

“0.20.2 mol of carbon and 0.60.6 mol of hydrogen for 0.10.1 mol of compound give C2H6C_{2}H_{6}, with degree of unsaturation zero.”

The trap: Forgetting that each water molecule brings TWO hydrogens, which halves the count.

Marking: 1 mark for the amounts of substance, 1 mark for the atom count, 1 mark for the verified molecular formula.

Check before you hand in

Five minutes of checking recover more marks than one more problem started in a hurry.

The typical problem, taken apart

Finding a hydrocarbon from its combustion

The complete combustion of 0.10.1 mol of a gaseous hydrocarbon produces 8.88.8 g of carbon dioxide and 5.45.4 g of water.

Determine its molecular formula, then write the balanced combustion equation.

Step 1

n(CO2)=8.844=0.2n(CO_{2})=\dfrac{8.8}{44}=0.2 mol and n(H2O)=5.418=0.3n(H_{2}O)=\dfrac{5.4}{18}=0.3 mol.

Why

Convert first, without interpreting anything. Writing out the two molar masses earns the method mark, even if the calculation is done in your head.

Step 2

Carbon: 0.20.2 mol, that is 0.20.1=2\dfrac{0.2}{0.1}=2 atoms per molecule.

Why

Each carbon dioxide molecule contains exactly one carbon, all of it coming from the fuel. The ratio gives the subscript directly.

Step 3

Hydrogen: 2×0.3=0.62\times 0.3=0.6 mol, that is 0.60.1=6\dfrac{0.6}{0.1}=6 atoms per molecule.

Why

Each water molecule carries away TWO hydrogens: this is the factor that half the papers forget, and forgetting it halves the result.

Step 4

Molecular formula: C2H6C_{2}H_{6}, with degree of unsaturation 2×2+2−62=0\dfrac{2\times 2+2-6}{2}=0.

Why

A degree of zero confirms an alkane, consistent with the general formula CnH2n+2C_{n}H_{2n+2} for n=2n=2. Two independent checks of the same result.

Step 5

Equation: C2H6+72O2→2CO2+3H2OC_{2}H_{6}+\dfrac{7}{2}O_{2}\rightarrow 2CO_{2}+3H_{2}O.

Why

The half coefficient is perfectly legitimate; double the whole equation if the statement requires integers. The oxygen count, 77 on each side, confirms the balancing.

Step 6

Check: 0.10.1 mol of ethane does give 0.20.2 mol of carbon dioxide and 0.30.3 mol of water.

Why

Start again from the formula found and go back to the data of the statement: this is the inverse operation, and it catches any error in a subscript.

The conclusion, written out

“The hydrocarbon is ethane, of formula C2H6C_{2}H_{6}, and its complete combustion is written C2H6+72O2→2CO2+3H2OC_{2}H_{6}+\dfrac{7}{2}O_{2}\rightarrow 2CO_{2}+3H_{2}O.”

The classic mistake on this problem: Counting 0.30.3 mol of hydrogen instead of 0.60.6 and concluding C2H3C_{2}H_{3}, a formula that corresponds to no stable compound.

Learn by heart

  • • Alkane CnH2n+2C_{n}H_{2n+2} degree 00, alkene CnH2nC_{n}H_{2n} degree 11, alkyne CnH2n−2C_{n}H_{2n-2} degree 22. A RING also counts for one degree.
  • • Degree of unsaturation: 2C+2+N−H−X2\dfrac{2C+2+N-H-X}{2}.
  • • Boiling point RISES with chain length and FALLS with branching.
  • • Radical: initiation, propagation that regenerates a radical, termination that consumes two.
  • • Radicals and carbocations follow the same scale: tertiary > secondary > primary > methyl.
  • • Markovnikov's rule concerns only UNSYMMETRICAL reagents, and is read from the stability of the carbocation.
  • • pKapK_{a}: terminal alkyne 2525, alkene 4444, alkane 5050. More ss character, more stable anion.

Frequently asked questions

How do you calculate the degree of unsaturation?

Apply the formula that takes twice the number of carbons, plus two, plus the nitrogens, minus the hydrogens and the halogens, all divided by two. The result gives the total number of rings and multiple bonds. A triple bond counts for two degrees and an aromatic ring for four.

Why does a branched molecule boil lower?

Because the dispersion forces between molecules depend on contact area. A linear chain lines up against its neighbours along its whole length, while a branched molecule is nearly spherical and touches them much less. Pentane thus boils at thirty-six degrees against nine and a half for neopentane, with an identical molecular formula.

How do you recognize a propagation step?

By counting the radicals on each side. A propagation consumes one and produces another, which sustains the chain. A termination consumes two and produces none. An initiation consumes none and produces two, from a molecule broken by light or heat.

When does Markovnikov's rule apply?

Only when the reagent added is unsymmetrical, such as hydrogen bromide or water. With hydrogen or bromine, the two atoms added are identical and there is nothing to orient. When it applies, it says that the proton attaches so as to form the most stable carbocation.

Is a terminal alkyne acidic?

Much more than an alkane, but far less than water. Its acid dissociation constant corresponds to a pKa close to twenty-five, against fifty for an alkane and fifteen point seven for water. Sodium hydroxide is therefore not enough to remove it: a much stronger base is needed, such as sodium amide.

Practise it

Corrected exercises: Hydrocarbons, 202-SNU-RE

A method is proved on a paper, not on a sheet. The set for the same chapter takes each of these traps into a problem, with the solution written out step by step.

  • 15 corrected exercises
  • 150 points
  • 225 minutes
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© Ahmed Squalli Houssaini. Revision sheet published at www.letuteurscientifique.ca/en/fiches/cegep-snu-hydrocarbons. Free for personal and classroom use; republishing it elsewhere requires written permission (legal notice).

See also

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