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For ${C_2}{H_2}$ on reaction with $Na$ followed by reaction with ${C_2}{H_5}I$ gives $'X'$ .The molecular formula of $'X'$ is:
A. ${C_2}{H_6}$
B. ${C_4}{H_8}$
C. ${C_4}{H_6}$
D. ${C_3}{H_6}$

Answer
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Hint:Acetylene is the chemical compound with the formula \[{C_2}{H_2}\] . It is a hydrocarbon and the simplest alkyne. This colorless gas (lower hydrocarbons are generally gaseous in nature) is widely used as a fuel and a chemical building block. It is unstable in its pure form and thus is usually handled as a solution. Pure acetylene is odorless, but commercial grades usually have a marked odor due to impurities.

Complete step by step answer:
As an alkyne, acetylene is unsaturated because its two carbon atoms are bonded together in a triple bond. The carbon–carbon triple bond places all four atoms in the same straight line, with \[C - C\] bond angles of 180°.
The reaction of ethyne with sodium metal in the solution produces a sodium substitution with the hydrogen atom. The reaction can be written as:
$CH \equiv CH\xrightarrow{{Na}}CH \equiv C - Na$
The product of the reaction is again reacted with ethyl iodide, which produces 1-butyne as the final product of the sequence of reactions. The reaction can be represented as follows:
$CH \equiv C - Na\xrightarrow{{{C_2}{H_5}I}}CH \equiv C - {C_2}{H_5}$
Reactions like this are useful in yielding homologues of unsaturated hydrocarbons with long parent chains (or homologues of higher order) and also used in producing hydrocarbons at a massive level with the expenditure of cheap reactants such as ethyl iodide which is produced through ethanol in the industries.
Thus, the correct option is C. ${C_4}{H_6}$ .

Note:
Acetylene or ethyne is widely used as a chemical building block and as a fuel. In its pure form, it is unstable and is handled as a solution. It is an unsaturated compound the two carbon atoms in it are linked together with a double bond. It is lighter when compared to air and easily ignites. Prolonged exposure to heat or fire can rupture containers violently.