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In the reaction x and y are:
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A)\[\text{x = }{{\text{H}}_{\text{2}}}\text{,Pd/BaS}{{\text{O}}_{\text{4}}}\text{ ; y = NaOAc, A}{{\text{c}}_{\text{2}}}\text{O}\]
B)\[\text{x = LiAl}{{\text{H}}_{\text{4}}}\text{ ; y = NaOAc, A}{{\text{c}}_{\text{2}}}\text{O}\]
C)\[\text{X = }{{\text{H}}_{\text{2}}}\text{, Pd/C ; y = NaOH, A}{{\text{c}}_{\text{2}}}\text{O}\]
D)\[\text{x = LiAl}{{\text{H}}_{\text{4}}}\text{ ; y = NaOH, }\!\!~\!\!\text{ A}{{\text{c}}_{\text{2}}}\text{O}\]

Answer
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Hint: An acyl chloride is converted into the aldehydes through the Rosenmunds reduction reaction. These reactions are followed by the Perkin reaction. In the Perkin reaction, aldehydes are converted into the $\text{ }\!\!\alpha\!\!\text{ , }\!\!\beta\!\!\text{ -}$unsaturated carboxylic acid.

Complete step by step answer:
Rosenmund reduction is the reduction of acyl chlorides \[\text{ROCl}\]into the aldehyde$\text{RCHO}$. The acyl chloride undergoes the hydrogenation (addition of ${{\text{H}}_{\text{2}}}$) in presence of palladium $\text{Pd}$catalysts on the surface of barium sulfate $\text{(BaS}{{\text{O}}_{\text{4}}}\text{)}$ to get the corresponding aldehydes. This is Rosenmund's reaction. The barium sulfate prevents the further reduction of aldehydes into the alcohols.

The general reaction is as follows:
\[\begin{align}
  & \text{R-COCl}\xrightarrow[\text{Pd/BaS}{{\text{O}}_{\text{4}}}]{{{\text{H}}_{\text{2}}}}\text{R-CHO} \\
 & \text{Acid Aldehyde} \\
 & \text{Chloride} \\
\end{align}\]
Where R can be alkyl or the aryl group.

Thus, when the benzoyl chloride $\text{(}{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}\text{COCl)}$ undergoes the Rosenmund’s reduction reaction with the hydrogen and palladium on the surface of barium sulfate We get the benzaldehyde $\text{(}{{\text{C}}_{\text{6}}}{{\text{H}}_{\text{5}}}\text{CHO)}$ as the product.

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The perkin reaction is a reaction used for the preparation of cinnamic acid from the benzaldehyde. The reaction involves the conversion of aromatic aldehydes $\text{(Ar-CHO)}$ to the $\text{ }\!\!\alpha\!\!\text{ , }\!\!\beta\!\!\text{ -}$unsaturated carboxylic acid by the treatment of acetic anhydride\[\text{(A}{{\text{c}}_{\text{2}}}\text{O)}\] in presence of sodium acetate as a base. The unsaturated carboxylic acid form is either E or Z. The general reaction is as follows:
$\text{Ar-CHO}\xrightarrow[\text{NaoAc}]{\text{A}{{\text{c}}_{\text{2}}}\text{O}}\text{ArCH=CHCOOH}$
Under the presence of a base, the anhydride loses the proton and form carbanion. This carbanion attacks on the carbonyl carbon of the aldehyde. The product is further hydrolysed to give the unsaturated acid.
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Here the benzaldehyde obtained through the Rosenmund reduction reaction undergoes the reaction with acetic anhydride in presence of sodium acetate to give cinnamic acid as follows:
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Thus, we were able to convert the benzoyl into the $\text{ }\!\!\alpha\!\!\text{ , }\!\!\beta\!\!\text{ -}$ unsaturated carboxylic acid i.e. cinnamic acid by the reduction of a benzoyl chloride by the palladium on barium sulfate which is Rosenmund reduction followed by the treatment of acetic anhydride which is Perkin reaction. Therefore, in the conversion
\[\begin{align}
  & \text{X=}{{\text{H}}_{\text{2}}}\text{,Pd/BaS}{{\text{O}}_{\text{4}}} \\
 & \text{Y=NaOAc, A}{{\text{c}}_{\text{2}}}\text{O} \\
\end{align}\]
So, the correct answer is “Option A”.

Note: Lithium aluminium hydride $\text{LiAl}{{\text{H}}_{\text{4}}}$ converts the acyl chloride into the primary alcohol. Therefore it is not advisable to use. Barium sulfate prevents the reaction from undergoing further reduction for alcohol. It is a poison for the palladium catalyst.