
This query seeks the count of oxygen atoms within the ultimate major product, denoted as 'P', derived from a two-stage reaction sequence initiating with but-2-yne.
The resolution necessitates the application of two sequential, named organic transformations:
Step 1: Examination of the initial reaction stage.
The reactant is but-2-yne (\( \text{CH}_3\text{C} \equiv \text{C}-\text{CH}_3 \)). The reacting agent is Na/liq. NH₃, indicative of a Birch reduction of an alkyne.
This transformation reduces the alkyne to an alkene characterized by trans stereochemistry.
\[ \text{CH}_3\text{C} \equiv \text{C}-\text{CH}_3 \xrightarrow{\text{(i) Na/liq.NH}_3} \text{trans-But-2-ene} \]
The structural representation of the intermediate product, trans-but-2-ene, is as follows:
Step 2: Analysis of the subsequent reaction stage.
The intermediate, trans-but-2-ene, is subjected to treatment with dilute KMnO₄ at 273K (0 °C). This procedure constitutes a syn-dihydroxylation reaction (Baeyer's test).
Two hydroxyl (-OH) groups are appended across the double bond on the same plane. This reaction effects the conversion of the alkene into a vicinal diol (glycol).
\[ \text{trans-But-2-ene} \xrightarrow{\text{(ii) dil. KMnO}_4, 273\text{K}} \text{Butane-2,3-diol} \]
The reaction involves the cleavage of the alkene's pi bond and the formation of two new C-O sigma bonds.
The structural depiction of the final product 'P', butane-2,3-diol, is:
\[ \text{CH}_3-\underset{\text{OH}}{\underset{|}{\text{CH}}}-\underset{\text{OH}}{\underset{|}{\text{CH}}}-\text{CH}_3 \]
(Note: The reaction of a trans-alkene with syn-addition yields a racemic mixture of (2R,3R) and (2S,3S) enantiomers, but the chemical composition remains butane-2,3-diol).
The objective of this inquiry is to determine the quantity of oxygen atoms present in the final product 'P'.
The end product is butane-2,3-diol, possessing the chemical formula \( \text{C}_4\text{H}_{10}\text{O}_2 \).
A review of the structure or the chemical formula reveals the presence of two hydroxyl (-OH) groups within the molecule. Each hydroxyl group contains a single oxygen atom.
Consequently, the total number of oxygen atoms in product 'P' is calculated to be 2.
Write the correct order of rate of reaction of following with PhN$_2$Cl 
Identify A in the following reaction. 