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On oxidation with alkaline $KMn{O_4}$ , $'X'$ compound gives ${C_3}{H_6}{O_2}$ and ${C_2}{H_4}{O_2}$ as two carboxylic acids. What would be the IUPAC name of alkyne $'X'$?
A.But-$2$-yne
B.But-$1$-yne
C.Pent-$2$-yne
D.Hex-$1$-yne

Answer
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Hint:The best way to solve the conversion problems is to follow the reaction step by step. We will focus on the properties of reagent. For example: if the reaction is with an oxidizing agent it will give the oxidized products. The product formed also helps in detecting the reactant.

Complete step by step answer:
First, we will write a reaction in terms of products and reactants. Here $'X'$ on oxidation gives two carboxylic acids as ${C_3}{H_6}{O_2}$ and${C_2}{H_4}{O_2}$.
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So the reaction given above shows that an alkyne $'X'$ on oxidation gives two carboxylic acids ${C_3}{H_6}{O_2}$ and ${C_2}{H_4}{O_2}$ which is the only possible structure of these given carboxylic acids.
So now we need to find the alkyne $'X'$. We know that oxidation with alkaline $KMn{O_4}$ alkyne gives carboxylic acids. We can understand it with the help of the reaction given below.
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So we will check the options one by one to get the desired product. So consider option (A) But-$2$-yne. This reaction is not giving us the given carboxylic acids.
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Now we will consider option (B) But-$1$-yne. This alkyne will also not give the required carboxylic acids.
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Now we will consider option (C) Pent-$2$-yne. This alkyne will give us the carboxylic acids given in the question.
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Now the last option (D) Hex-$1$-yne. It will also give different carboxylic acids.
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So from the above reactions, we can conclude that $'X'$ is Pent-$2$-yne.
Therefore, option (C) is correct.

Note:
Alkaline $KMn{O_4}$ is a powerful oxidizing agent. The oxidation state of $Mn$ is $ + 7$. It is the highest oxidation state of manganese.
Terminal alkyne is the alkyne in which the carbon-carbon triple bond is at last.