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Observe the following sequence of reactions and find the structure of A.
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Answer
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Hint: An alkyne reacts with the ${{\text{H}}_{2}}\text{S}{{\text{O}}_{4}}$ in presence of $\text{H}{{\text{g}}^{2+}}$ catalyst to form an enol product which tautomerizes to produce a ketone. The ketone on further reduction yields alcohol.

Complete step-by-step answer:
To identify the structure of A we need to follow the sequence provided. Let’s start with the known compound given in the sequence, that is, propyne.
Propyne undergoes hydration reaction when reacts with ${{\text{H}}_{2}}\text{S}{{\text{O}}_{4}}$ in the presence of $\text{H}{{\text{g}}^{2+}}$ catalyst following Markovnikov’s rule and forms a ketone after tautomerization. According to Markovnikov’s rule, the hydrogen gets attached to the triply bonded carbon in an alkene that possesses a higher number of H-atoms. The reaction involved in this step is given below:
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The ketone formed (E) on reduction gives secondary alcohol. So, the propanone on reduction will produce Propan-2-ol.
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To check the product formed in the above reaction, we need to write reactions for the further process given in the question.
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Here we can see that we end up with the propyne as the product. Hence, compound A is secondary alcohol and its structure is as follows:
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Note: Not all alkynes produce ketone upon hydration. There is an exceptional case of ethyne which produces ethanal, an aldehyde, upon hydration. Also, the addition of a bromine molecule to alkene results in the formation of a vicinal dibromide in which bromine atoms get attached to opposite sides of an adjacent carbon atom.