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How is Methoxyethane prepared from:
(a) Methyl iodide (b) Diazomethane

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Answer
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Hint: For the preparation of ethyl methyl ether from methyl iodide or diazomethane look for the reagents and bases that will be needed to in order to introduce the ethoxy group with the methyl group (this methyl group will come from methyl iodide or diazomethane).

Complete step by step solution:
Methoxyethane is also called ethyl methyl ether. It is clear colourless gas with an odour of medicine. Its boiling point is very low (7.6 $ ^{ o }{ C }$).Water is more dense than Methoxyethane but the vapours of Methoxyethane are heavier than air. Since it is highly flammable therefore on a prolonged exposure to heat or fire, the containers containing the Methoxyethane may explode violently. If it is inhaled, it may cause asphyxiation or dizziness. It is a Lewis base because of the presence of two lone pairs on the oxygen atom in its structure. Its structure is shown below:
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It reacts with Lewis acids and forms salts (acid-base reaction).

-Preparation of ethyl methyl ether (Methoxyethane) from methyl iodide :

The methyl iodide is heated with alcoholic sodium ethoxide in order to form ethyl methyl ether. The reaction is given below:

$ \begin{matrix} { C }_{ 2 }{ H }_{ 5 }ONa(s) \\ Sodium\quad methoxide \end{matrix}+\begin{matrix} { CH }_{ 3 }-I(l) \\ Methyl\quad iodide \end{matrix}\xrightarrow { \triangle } \begin{matrix} { C }_{ 2 }{ H }_{ 5 }O{ CH }_{ 3 }(g) \\ ethyl\quad methyl\quad ether \end{matrix}+\begin{matrix} NaI(s) \\ Sodium\quad iodide \end{matrix}$

This reaction is a $ { S }_{ N }2$ substitution reaction where the base sodium ethoxide is attacking the methyl iodide such that the leaning group (iodide ion) leaves.

-Preparation of ethyl methyl ether from diazomethane :

Ethyl alcohol is treated with diazomethane in presence of fluoroboric acid in order to produce ethyl methyl ether. The reaction is given below:

$ \begin{matrix} { C }_{ 2 }{ H }_{ 5 }-OH(l) \\ Ethanol \end{matrix}+\begin{matrix} { CH }_{ 2 }{ N }_{ 2 }(l) \\ Diazomethane \end{matrix}\xrightarrow [ \triangle ]{ HB{ F }_{ 4 } } \begin{matrix} { C }_{ 2 }{ H }_{ 5 }O{ CH }_{ 3 }(g) \\ Ethyl\quad methyl\quad ether \end{matrix}+\begin{matrix} { N }_{ 2 }(g) \\ Nitrogen \end{matrix}$

Hence ethyl methyl ether can be prepared from both diazomethane and methyl iodide.

Note: Methoxyethane or more appropriately 1-Methoxyethane is the IUPAC name of the compound ethyl methyl ether. For the preparation of ethyl methyl ether from diazomethane, instead of a fluoroboric acid (which acts as an acid catalyst) we can use acids such as $Sn{ Cl }_{ 2 }$, $B{ F }_{ 3 }-OEt$ or silica.