Vicinal dihalides undergo double dehydrohalogenation to give terminal alkyne. How many moles of\[NaN{H_2}\] are used in the overall reaction?

A.One
B.Two
C.Three
D.Four

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Hint: The dehydrohalogenation is the removal of \[HX\] from the molecule where \[H\] is hydrogen atom and \[X\] is halogen atom. \[NaN{H_2}\] acts as a strong base that has the ability to abstract protons.

Complete step by step answer:
The vicinal dihalides undergo dehydrohalogenation to generate terminal alkynes. The reaction goes through a stepwise manner.
In the first step, one mole of \[NaN{H_2}\] abstracts the acidic proton from the dihalide to yield an alkenyl bromide. The protons flanked between the two bromo attached carbons are mildly acidic in nature. Due to the use of \[NaN{H_2}\] which is a very strong base allows the proton to abstract and leads to the alkene intermediate.
In the second step, the alkene intermediate consumes a second-mole \[NaN{H_2}\] to give an alkyne by dehydrohalogenation. The proton abstraction from alkene is easier than in the first step as alkenes are more acidic than alkanes.
Due to the generation of terminal alkynes which are very much acidic in nature the proton from the alkyne gets easily abstracted. But the reaction after aqueous workup yields the desired alkyne compound. From alkane to alkene to alkyne the percentage of s-character increases. As a result the electronegativity increases and the acidic nature increases. Hence alkynes are highly acidic in nature and the third mole of \[NaN{H_2}\] will be consumed during the reaction course.

Thus three moles of \[NaN{H_2}\]are used in the overall reaction.

Note:
The proton on the left side is not abstracted by \[NaN{H_2}\] as it is attached to a carbon that is attached to the methyl group. As methyl groups are electron donating in nature so the acidity of the proton decreases.