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Explain the mechanism of the following reaction:
${\text{2C}}{{\text{H}}_3} - {\text{C}}{{\text{H}}_2} - {\text{OH}}\xrightarrow[{{\text{413 K}}}]{{{{\text{H}}^ + }}}{\text{C}}{{\text{H}}_3} - {\text{C}}{{\text{H}}_2} - {\text{O}} - {\text{C}}{{\text{H}}_2} - {\text{C}}{{\text{H}}_3} + {{\text{H}}_2}{\text{O}}$

Answer
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Hint: In the reaction, the reactant has a hydroxyl $\left( { - {\text{OH}}} \right)$ functional group and the product has ether $\left( {{\text{R}} - {\text{O}} - {\text{R}}} \right)$ functional group, where R is any alkyl group. Thus, the reaction is conversion of alcohol to ether.

Complete step by step answer:
The given reaction is,
${\text{2C}}{{\text{H}}_3} - {\text{C}}{{\text{H}}_2} - {\text{OH}}\xrightarrow[{{\text{413 K}}}]{{{{\text{H}}^ + }}}{\text{C}}{{\text{H}}_3} - {\text{C}}{{\text{H}}_2} - {\text{O}} - {\text{C}}{{\text{H}}_2} - {\text{C}}{{\text{H}}_3} + {{\text{H}}_2}{\text{O}}$
In the given reaction, excess ethyl alcohol reacts with hydrogen ion from the sulphuric acid. In the reaction, diethyl ether is produced along with a water molecule.
The reaction mechanism involves three steps as follows:
Step 1: Formation of protonated alcohol:
In this step, one molecule of ethyl alcohol undergoes protonation i.e. a proton or hydrogen ion gets attached to the oxygen atom of the hydroxyl functional group. It is a fast step.
The reaction is as follows:
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Step 2: Nucleophilic attack of the alcohol molecule on the protonated alcohol:
In this step, the second molecule of ethyl alcohol attacks the protonated alcohol molecule formed in the first step. It is a slow step.
The reaction is as follows:

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Step 3: Deprotonation to form ether:
In this step, the intermediate formed undergoes deprotonation i.e. a proton or a hydrogen ion gets removed. It is a fast step.
The reaction is as follows:

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Note: In the reaction, equal volumes of ethyl alcohol and concentrated sulphuric acid are distilled. Ethyl alcohol reacts with concentrated sulphuric acid and produces ethyl hydrogen sulphate. The reaction is as follows:
${\text{C}}{{\text{H}}_{\text{3}}} - {\text{C}}{{\text{H}}_{\text{2}}} - {\text{OH}} + {\text{H}} - {\text{O}} - {\text{S}}{{\text{O}}_{\text{3}}}{\text{H}} \to {\text{C}}{{\text{H}}_{\text{3}}} - {\text{C}}{{\text{H}}_{\text{2}}} - {\text{O}} - {\text{S}}{{\text{O}}_{\text{3}}}{\text{H}} + {{\text{H}}_2}{\text{O}}$
Then excess of ethyl alcohol is added. Ethyl hydrogen sulphate reacts with excess of ethyl alcohol and produces diethyl ether. The reaction is as follows:
\[{\text{C}}{{\text{H}}_{\text{3}}} - {\text{C}}{{\text{H}}_{\text{2}}} - {\text{OH}} + {\text{C}}{{\text{H}}_{\text{3}}} - {\text{C}}{{\text{H}}_{\text{2}}} - {\text{O}} - {\text{S}}{{\text{O}}_{\text{3}}}{\text{H}} \to {\text{C}}{{\text{H}}_{\text{3}}} - {\text{C}}{{\text{H}}_{\text{2}}} - {\text{O}} - {\text{C}}{{\text{H}}_{\text{2}}} - {\text{C}}{{\text{H}}_{\text{3}}} + {{\text{H}}_2}{\text{S}}{{\text{O}}_4}\]
The sulphuric acid is regenerated in the reaction. This process is known as a continuous esterification process.