Mundane Compounds, Interesting Reactions

Chemistry Level 3

Element X is present in two different binary compounds of the same elemental composition. In compound A , the element X 's mass percentage is 88.79 % and in compound B it is 95.98 % .

Compound A is formed in nature through an equilibrium reaction that maintains a gradient to ensure ATP production. We call this equilibrium " S-1 " and it is shown below : (Note that R refers to the unchanged part of the molecule)

When O 2 O_{2} gas interacts with S-1 , a precursor C is formed. When C interacts with S-1 compound A is obtained.

Compound B rarely occurs in nature, and is known to quickly decompose into A and another binary compound Z .

Compound Z plays a major role in modern organic chemistry, the following reaction scheme demonstrates this. (Note that OTf refers to the triflate group)

Compound O is later exposed to heat to form P and this compound is exposed to UV radiation to give compound Q .

When Q reacts with Z and later with N a B H 4 NaBH_{4} in presence of a mild base the following compound is obtained :

It is known that P is a zwitterionic compound and its chemical formula is C 17 H 21 N O 3 C_{17}H_{21}NO_{3} and N doesn't contain Tin. We now define certain quantities:

  • Let α \alpha be the mass of compound A
  • Let β \beta be the number of rings in compound O

Calculate the value of α β \alpha - \beta

BONUS

  • Deduce the structures of compounds A - C
  • Deduce the structures of compounds P - Q
  • How does Z differ from its more common counterpart?
  • Provide an electron pushing mechanism for the transformation of N to O


The answer is 16.

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1 solution

We start with the equilibrium reaction, it is clear that the system S-1 provides two nascent hydrogen atoms. When O 2 O_{2} interacts with it, an addition reaction occurs leading to the formation precursor C which is H 2 O 2 H_{2}O_{2} . When H 2 O 2 H_{2}O_{2} interacts with the system again S-1 again, we obtain two moles of water.

α = 18 \alpha = 18

From the data it is clear that B is a binary compound containing Hydrogen and Oxygen atoms. Assuming B 's chemical formula to be H O x HO_{x} , using the mass percentage we can deduce that x has a value of 1.5. Therefore B must be H 2 O 3 H_{2}O_{3} .

The decomposition reaction provided makes the task of finding Z simple, it must be O 2 O_{2}^{*} . This Oxygen molecule is different from other O 2 O_{2} molecules as the electrons present in its anti-bonding molecular orbital are paired. The difference is illustrated below: (Image from Wikipedia)

The next set of deductions start from the reaction scheme. The initial conversion is a simple imine condensation followed by reduction using N a C N B H 3 NaCN-BH_{3} . Hence structure of M is,

The structure of N can be deduced as it doesn't contain the element Tin, and a coupling reaction must occur :

We now shift our focus to the final product and work towards Q . Knowing that the base and N a B H 4 NaBH_{4} cyclize and reduce the compound and the fact that O 2 O_{2}^{*} reacts with Q , we can draw this precursor :

This precursor makes the structure of Q apparent. Q must react with O 2 O_{2}^{*} in a pericyclic manner :

The structure of P is now deduced using its chemical formula an the fact that it is zwitter-ionic. The nitrogen lone pair must de-localise into the ring. To ensure the charge persists, the resultant negatively charged oxygen atom should be cut off from the pi system :

Now that P 's structure is known to us deducing O is a relatively simple task. The reaction conditions will only allow thermal rearrangements (like alkene isomerization) and hence we can see that O and P share the same chemical formula. Knowing this we can deduce that the zwitter-ionic portion is formed in the conversion of N to O and the rest of O is identical to N . We can now write down the structure of O :

β = 2 \beta = 2

The answer is 16 \boxed{16}

The mechanism of the conversion of N to O is left as an exercise to the reader.

Inspiration:

Professor D.M Volochnyuk's 2016 problem set.

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