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Example · Example 2

Q.What is a homologous series? Using the alkane series (general formula CnH2n+2) as your example, write the molecular formulas of the first four members and state how any two successive members differ.

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A homologous series is a family of organic compounds that (i) share the same functional group, (ii) can all be represented by one general molecular formula, (iii) show a smooth, gradual change in physical properties such as melting point and boiling point as the carbon chain lengthens, and (iv) show essentially the same chemical behaviour throughout the series, since that behaviour is governed mainly by the shared functional group. Successive members always differ from one another by exactly one −CH2−-\text{CH}_2- unit, a mass difference of 14.

The alkanes illustrate this with the general formula CnH2n+2\text{C}_n\text{H}_{2n+2}. Substituting n=1,2,3,4n = 1, 2, 3, 4 gives the first four members: methane (CH4\text{CH}_4, n=1n=1), ethane (C2H6\text{C}_2\text{H}_6, n=2n=2), propane (C3H8\text{C}_3\text{H}_8, n=3n=3) and butane (C4H10\text{C}_4\text{H}_{10}, n=4n=4). Comparing methane and ethane, ethane has exactly one more CH2\text{CH}_2 unit than methane (CH4+CH2=C2H6\text{CH}_4 + \text{CH}_2 = \text{C}_2\text{H}_6); the same +CH2+\text{CH}_2 relationship holds between every consecutive pair in the list.

[!ANSWER] The first four alkanes are CH4\text{CH}_4, C2H6\text{C}_2\text{H}_6, C3H8\text{C}_3\text{H}_8 and C4H10\text{C}_4\text{H}_{10}; each successive member differs from the one before it by exactly one −CH2−-\text{CH}_2- unit.

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