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Convert ethanoic acid into methanamine?

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Hint: There is use of alkali as a strong base in Hoffman bromamide reaction to attack amide. It leads to formation of anion which happens after deprotonation. This reaction basically is best to convert primary amide into a primary amine, which proceeds with reduction of one carbon.

Complete answer:
Convert ethanoic acid into methanamine:
First step: Convert Ethanoic acid into ethyl acyl chloride. We will react with ethanoic acid with \[SOC{l_2}\] , it will give us \[C{H_3}COCl\] . Which is Ethanoyl chloride.
\[C{H_3}COOH\xrightarrow{{SOC{l_2}}}C{H_3}COCl\]
Second Step: In the second step we will convert acyl chloride into acetamide with ammonia in excess.
$C{H_3}COCl \xrightarrow{{N{H_3}(excess)}}C{H_3}CON{H_2}$
Third step: Conversion of acetamide into methanamine in presence of bromine or Alkali hydroxide
With the help of Hoffmann bromamide reaction.
\[C{H_3}CON{H_2}\xrightarrow{{B{r_2}/KOH}}C{H_3}N{H_2}\]

Additional knowledge: Acetic acid or ethanoic acid is a weak carboxylic acid. It is the chief acetic acid. The acetic acid formula represents two carbons, four hydrogen and two oxygens. It has a carboxyl group which is represented by \[\left( { - COOH} \right)\]. Acetic acid is formed when ethanol combines with oxygen in air, yielding ethanoic acid and water. This is called the oxidation of ethanol. It has no colour, but it has a sharp, strong odour very much like vinegar. Keep in mind this is a flammable chemical, with a flashpoint of 39degree Celsius. It is a volatile organic compound.

Note:
Methanamine is used for making paint removers, insecticides, pharmaceuticals, rubber chemicals etc. we can also call them methylamines, consisting of ammonia bearing a single methyl substituent. It has a role as a mouse.