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Q8.6 (a):
Draw formulas for the first five members of each homologous series beginning with the following compounds. (a) H–COOH

Solution :

Step 1: Identification of the Homologous Series

The given compound is $H-COOH$, which is Methanoic acid. The functional group present is the carboxylic acid group ($-COOH$). The general formula for the homologous series of saturated monocarboxylic acids is $C_nH_{2n}O_2$ or $C_{n-1}H_{2n-1}COOH$ (where $n \ge 1$). Successive members of a homologous series differ by a $–CH_2–$ unit [Per the IUPAC definition of homologous series].

Step 2: Derivation of the First Five Members

To obtain subsequent members, we incrementally add a methylene group ($-CH_2-$) to the alkyl chain attached to the functional group.

Member Molecular Formula IUPAC Name Structural Formula
1st $HCOOH$ Methanoic acid $H-COOH$
2nd $CH_3COOH$ Ethanoic acid $CH_3-COOH$
3rd $C_2H_5COOH$ Propanoic acid $CH_3-CH_2-COOH$
4th $C_3H_7COOH$ Butanoic acid $CH_3-CH_2-CH_2-COOH$
5th $C_4H_9COOH$ Pentanoic acid $CH_3-CH_2-CH_2-CH_2-COOH$

Step 3: Visual Representation of the Series

The following SVG illustrates the increasing chain length characteristic of this homologous series.

1. H-COOH 2. CH₃-COOH 3. CH₃-CH₂-COOH 4. CH₃-CH₂-CH₂-COOH 5. CH₃-CH₂-CH₂-CH₂-COOH

Step 4: Analytical Justification

  • Molecular Weight Increment: Each member increases by $14 \text{ u}$ (Atomic mass of $C = 12, H = 1, H = 1 \rightarrow 12 + 2 = 14$) [By Law of Definite Proportions and Atomic Mass standards].
  • Chemical Properties: Because the functional group ($-COOH$) remains constant, all five members exhibit similar chemical properties, such as acidity and esterification capabilities.
  • Physical Properties: Boiling points increase steadily with increasing molecular weight due to increased Van der Waals forces [Per Intermolecular Force Theory].

Final Solution: The first five members of the carboxylic acid homologous series starting from methanoic acid are: Methanoic acid ($HCOOH$), Ethanoic acid ($CH_3COOH$), Propanoic acid ($CH_3CH_2COOH$), Butanoic acid ($CH_3CH_2CH_2COOH$), and Pentanoic acid ($CH_3CH_2CH_2CH_2COOH$).


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