Homologous series
Carbon atoms can link up into chains that are short or long, so the number of possible hydrocarbons is enormous. Learning them one by one would be hopeless, so chemists sort them into families. All the members of one family fit a single general formula, and each member is bigger than the one before it by exactly the same piece.
Homologous series: The series of hydrocarbons which can be represented by the same general formula is called a homologous series. Each member of this series is called a homologue.
Look at the first four members of the alkane family: methane \( \mathrm{CH_4} \), ethane \( \mathrm{C_2H_6} \), propane \( \mathrm{C_3H_8} \) and butane \( \mathrm{C_4H_{10}} \). All four fit the general formula \( \mathrm{C_nH_{2n+2}} \), where \( n \) is the number of carbon atoms. Butane has \( n = 4 \), so it has \( 2 \times 4 + 2 = 10 \) hydrogen atoms, which gives \( \mathrm{C_4H_{10}} \). Now see what is added in going from methane to ethane: one carbon and two hydrogens, that is \( \mathrm{CH_2} \). Exactly the same piece is added going from ethane to propane and from propane to butane.
| Name | Molecular formula | Molecular weight | Difference from the member before |
| Methane | \( \mathrm{CH_4} \) | 16 | first member |
| Ethane | \( \mathrm{C_2H_6} \) | 30 | 14 |
| Propane | \( \mathrm{C_3H_8} \) | 44 | 14 |
| Butane | \( \mathrm{C_4H_{10}} \) | 58 | 14 |
Two neighbouring members of a homologous series always differ by one \( \mathrm{CH_2} \) group, and so their molecular weights always differ by 14.
Why the difference is always 14
A \( \mathrm{CH_2} \) group is one carbon atom and two hydrogen atoms. Taking the atomic mass of carbon as 12 and of hydrogen as 1, the mass of this group is:
\[ \mathrm{CH_2} = 12 + 2 \times 1 = 14 \]
Check it with methane and ethane. Methane weighs \( 12 + 4 = 16 \) and ethane weighs \( 2 \times 12 + 6 = 30 \). Their difference is:
\[ 30 - 16 = 14 \]
The idea is not limited to alkanes. Alcohols form a series of their own. Methanol has one carbon, ethanol has two and propanol has three. In the table below, one \( \mathrm{CH_2} \) is slipped into the chain each time while the \( \mathrm{OH} \) end stays exactly as it was. Their molecular weights are 32, 46 and 60, so once again each step is 14.
| Name | Molecular formula |
| Methanol | \( \mathrm{CH_3OH} \) |
| Ethanol | \( \mathrm{CH_3CH_2OH} \) |
| Propanol | \( \mathrm{CH_3CH_2CH_2OH} \) |
- All members can be written with one general formula.
- Neighbouring members differ by one \( \mathrm{CH_2} \) group.
- The molecular weights of neighbouring members differ by 14.
Alkyl radicals
In methane, \( \mathrm{CH_4} \), all four bonds of the carbon atom are taken up by hydrogen, so it is a complete molecule. If one hydrogen is removed, one bond of the carbon is left free. The \( \mathrm{-CH_3} \) group that remains does not sit on its own. It is ready to join another atom or group through that free bond. Such a group is called an alkyl radical.
Alkyl radical: The group of atoms formed by removing one hydrogen atom from an alkane molecule is called an alkyl radical. Its general formula is \( \mathrm{C_nH_{2n+1}} \).
An alkane has \( 2n+2 \) hydrogen atoms. Remove one and \( 2n+1 \) are left, which is why an alkyl radical is \( \mathrm{C_nH_{2n+1}} \). The radical from ethane has \( n = 2 \), so it has \( 2 \times 2 + 1 = 5 \) hydrogen atoms and is written \( \mathrm{-C_2H_5} \). A radical is named by changing the ending -ane of the alkane to -yl: methane gives methyl, ethane gives ethyl.
| Alkane | Alkyl radical | Name of the radical |
| \( \mathrm{CH_4} \) methane | \( \mathrm{-CH_3} \) | methyl |
| \( \mathrm{C_2H_6} \) ethane | \( \mathrm{-C_2H_5} \) or \( \mathrm{CH_3CH_2-} \) | ethyl |
| \( \mathrm{C_3H_8} \) propane | \( \mathrm{-C_3H_7} \) | propyl |
Functional groups
Functional group: An atom or a group of atoms which determines the structure and chemical reactivity of a certain group of organic compounds is called a functional group.
A functional group attaches to the free bond of an alkyl group, and a new kind of organic compound is formed. Think of the alkyl part as the body and the functional group as what decides how the compound behaves. For example, when \( \mathrm{-OH} \) joins a methyl group, the result is methanol, \( \mathrm{CH_3OH} \), which is an alcohol. When \( \mathrm{-COOH} \) joins a methyl group, the result is acetic acid, \( \mathrm{CH_3COOH} \), the acid that makes vinegar sour. The methyl part is the same in both, yet changing the attached group changes the whole family the compound belongs to.
| Functional group | Family of compounds | Example |
| \( \mathrm{-OH} \) | alcohol | \( \mathrm{CH_3OH} \) methanol |
| \( \mathrm{-O-} \) | ether | \( \mathrm{CH_3-O-CH_3} \) dimethyl ether |
| \( \mathrm{-CHO} \) | aldehyde | \( \mathrm{CH_3CHO} \) acetaldehyde |
| \( \mathrm{-COOH} \) | carboxylic acid | \( \mathrm{CH_3COOH} \) acetic acid |
Keep the alkyl group the same, change the functional group, and the compound moves into a different family. That is why the functional group is called the identity of an organic compound.
IUPAC: one compound, one name
At one time the same compound was called by different names in different places. The gas bubbling up from marshy ground was known as marsh gas, and chemists elsewhere could give the very same gas another name. This led to mistakes in reading and understanding. To end the confusion, scientists set up one system of naming that works the same way all over the world. In that system the gas has a single name: methane.
IUPAC: The International Union of Pure and Applied Chemistry. It is a system established by scientists to bring uniformity to the names of organic and inorganic compounds all over the world. Under this system, a compound has only one name.
The name of a hydrocarbon is built from two parts. The first part is the word root, which tells how many carbon atoms are in the chain. The second part is the suffix, which tells what kind of bond joins the carbon atoms. The two rules below show how to find each part.
\[ \text{name} = \text{word root} + \text{suffix} \]
Rule 1: Find the word root
First count how many carbon atoms the molecule has. Then pick the word root for that number from the table below.
| Number of carbon atoms | Word root | Notation | सङ्केत |
| 1 | Meth | \( \mathrm{C_1} \) | \( \mathrm{C_1} \) |
| 2 | Eth | \( \mathrm{C_2} \) | \( \mathrm{C_2} \) |
| 3 | Prop | \( \mathrm{C_3} \) | \( \mathrm{C_3} \) |
| 4 | But | \( \mathrm{C_4} \) | \( \mathrm{C_4} \) |
| 5 | Pent | \( \mathrm{C_5} \) | \( \mathrm{C_5} \) |
| 6 | Hex | \( \mathrm{C_6} \) | \( \mathrm{C_6} \) |
| 7 | Hept | \( \mathrm{C_7} \) | \( \mathrm{C_7} \) |
| 8 | Oct | \( \mathrm{C_8} \) | \( \mathrm{C_8} \) |
| 9 | Non | \( \mathrm{C_9} \) | \( \mathrm{C_9} \) |
| 10 | Dec | \( \mathrm{C_{10}} \) | \( \mathrm{C_{10}} \) |
The first four roots (Meth, Eth, Prop, But) simply have to be learnt. From five upwards the roots come from counting words you already know: pent as in pentagon (5 sides), hex as in hexagon (6 sides), oct as in octopus (8 arms) and dec as in decade (10 years).
Rule 2: Add the suffix
Once the word root is found, look at the bonds between the carbon atoms. If every bond is a single covalent bond, add the suffix -ane. If two carbon atoms share a double bond, add -ene, and if they share a triple bond, add -yne. The suffix therefore also tells you which family the compound belongs to.
| Bond between carbon atoms | Suffix | Family | General formula |
| single bond | -ane | alkane | \( \mathrm{C_nH_{2n+2}} \) |
| double bond | -ene | alkene | \( \mathrm{C_nH_{2n}} \) |
| triple bond | -yne | alkyne | \( \mathrm{C_nH_{2n-2}} \) |
A double or triple bond needs at least two carbon atoms. So there is no compound called methene or methyne. The only hydrocarbon with a single carbon atom is methane.
Naming a hydrocarbon step by step
Example 1: Name \( \mathrm{CH_3-CH_3} \).
Step 1: Counting the carbon atoms. There is one carbon at each end, so two in all, and the word root is:
\[ 2 \ \mathrm{C} \rightarrow \text{eth} \]
Step 2: Looking at the bond between the carbons. It is a single covalent bond, so the suffix is:
\[ \text{single bond} \rightarrow \text{ane} \]
Step 3: Joining the word root and the suffix:
\[ \text{eth} + \text{ane} = \text{ethane} \]
Example 2: Name \( \mathrm{CH_3-CH=CH_2} \).
Step 1: Counting the carbon atoms. \( \mathrm{CH_3} \), \( \mathrm{CH} \) and \( \mathrm{CH_2} \) each hold one carbon, making three, so the word root is:
\[ 3 \ \mathrm{C} \rightarrow \text{prop} \]
Step 2: Looking at the bonds between the carbons. Two of them share a double bond, so the suffix is:
\[ \text{double bond} \rightarrow \text{ene} \]
Step 3: Joining the word root and the suffix:
\[ \text{prop} + \text{ene} = \text{propene} \]
Example 3: Name \( \mathrm{HC \equiv CH} \).
Step 1: Counting the carbon atoms and choosing the word root:
\[ 2 \ \mathrm{C} \rightarrow \text{eth} \]
Step 2: The two carbons share a triple bond, so the suffix is:
\[ \text{triple bond} \rightarrow \text{yne} \]
Step 3: Joining the word root and the suffix:
\[ \text{eth} + \text{yne} = \text{ethyne} \]
The same two rules name every other simple hydrocarbon. The table gives more examples to practise on.
| Formula | Carbon atoms | Bond between carbons | Name |
| \( \mathrm{CH_4} \) | 1 | no carbon to carbon bond, all single | methane |
| \( \mathrm{CH_2=CH_2} \) | 2 | double | ethene |
| \( \mathrm{CH_3-CH_2-CH_3} \) | 3 | single | propane |
| \( \mathrm{CH_3-C \equiv CH} \) | 3 | triple | propyne |
| \( \mathrm{CH_3-CH_2-CH_2-CH_3} \) | 4 | single | butane |
Count the \( \mathrm{CH_3} \) at each end as well. \( \mathrm{CH_3-CH_2-CH_3} \) has three carbon atoms, not just the one in the middle. The suffix is decided by the bond between the carbons, not by counting hydrogens.
From a name back to a formula
The naming rules also work backwards. Given a name, the word root gives the number of carbon atoms and the suffix gives the general formula. Here is the molecular formula of pentane worked out.
Step 1: Reading the word root. Pent means five carbon atoms:
\[ n = 5 \]
Step 2: Reading the suffix. The ending -ane means an alkane, whose general formula is:
\[ \mathrm{C_nH_{2n+2}} \]
Step 3: Putting \( n = 5 \) to find the number of hydrogen atoms:
\[ 2n + 2 = 2 \times 5 + 2 = 12 \]
Step 4: Writing the molecular formula of pentane:
\[ \mathrm{C_5H_{12}} \]
In the same way, propene has three carbon atoms and is an alkene, so \( \mathrm{C_nH_{2n}} \) gives \( \mathrm{C_3H_6} \). Propyne is an alkyne, so \( \mathrm{C_nH_{2n-2}} \) gives \( 2 \times 3 - 2 = 4 \) hydrogen atoms and the formula \( \mathrm{C_3H_4} \).
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