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Explain the mechanism of esterification. Write the reactions involved in dehydration of 1$^o$, 2$^o$, and 3$^o$ alcohols.

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Hint: The mechanism of esterification involves the five steps. It is the conversion of carboxylic acids treated with primary alcohols to an ester. The dehydration of alcohols is an elimination reaction including the removal of hydrogen i.e. loose water molecules.

Complete step by step answer:
-Firstly, we will discuss the mechanism of esterification. This involves five steps
Cation formation
-Delocalized carbocation: Carboxyl oxygen gets protonated to give delocalized carbocation, making it a better electrophile.
-Transfer of proton: A proton is transferred to the hydroxyl group to form a good leaving group.
-Formation of pi bond: The hydroxyl group donates a pair of electrons to form a $\pi$ bond.
Ester formation: Deprotonation leads to the ester formation
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The dehydration of alcohols is done by heating the alcohols in the presence of a strong acid, at high temperatures to form alkenes.
The reaction of dehydration of primary alcohols is:
CH$_3$-CH$_2$-OH $\xrightarrow[\text{443K}]{\text{95%H$_2$SO$_4$}}$ CH$_2$=CH$_2$ +H$_2$O
The reaction of dehydration of secondary alcohols is:
CH$_3$-CH(OH)-CH$_3$ $\xrightarrow[\text{373K}]{\text{60%H$_2$SO$_4$}}$ CH$_3$-CH=CH$_2$ +H$_2$O
The reaction of dehydration of tertiary alcohols is:
CH$_3$-CH(OH)(CH$_3$)-CH$_3$ $\xrightarrow[\text{423K}]{\text{ Al$_2$O$_3$}}$ CH$_3$-C(CH$_3$)=CH$_2$ +H$_2$O
From the above written we get to know the dehydration of alcohols, but there is a difference between three of the reactions, i.e. the temperature required to proceed the reaction.
Thus, in the last we conclude that the esterification leads to ester formation, and dehydration of alcohols to alkenes.

Note:
Don’t get confused between the esterification, and the dehydration of alcohols. The end product in both reactions is different, but the similarity is involvement of alcohols. The dehydration of alcohol involves various conditions; the end product is alkene by the removal of water.