Cholesterol can be reduced either to cholestanol or coprostanol. Equilibration of cholesterol with a trace of cholestanone and base gives 90 per cent cholestanol and 10 per cent of a stereoisomer known as epicholestanol. Similar equilibration of coprostanol (in the presence of coprostanone) gives 10 per cent coprostanol and 90 per cent epicoprostanol. Write the configurations of each of these compounds and explain the orders of stablities that are observed.

Short Answer

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The configurations of cholestanol, epicholestanol, coprostanol, and epicoprostanol are as follows: 1. Cholestanol: \(\alpha\) at C3 and \(\beta\) at C5 2. Epicholestanol: \(\beta\) at C3 and \(\beta\) at C5 3. Coprostanol: \(\alpha\) at C3 and \(\alpha\) at C5 4. Epicoprostanol: \(\beta\) at C3 and \(\alpha\) at C5 The order of stabilities is Cholestanol > Epicoprostanol > Coprostanol > Epicholestanol. This can be attributed to the differences in orientations of the hydroxyl groups, with trans configurations being more stable due to less steric hindrance than cis configurations.

Step by step solution

01

Understanding the compounds

Cholesterol is a sterol, and its structure includes a hydrocarbon chain and a hydroxyl group. To understand the configurations of each of these compounds, we can look at the orientation of the hydroxyl group on C3 and C5 (carbon number 3 and 5) of the steroid ring system. Cholestanol and epicholestanol are stereoisomers of each other, which means they have the same molecular formula but a different spatial arrangement of their atoms. Similarly, coprostanol and epicoprostanol are also stereoisomers. We can denote the orientation of the hydroxyl group using α (alpha) for the upward direction and β (beta) for the downward direction.
02

Writing the configurations of the compounds

Using the given information and α, β notation, we can write the configurations of the compounds as follows: 1. Cholestanol: \(\alpha\) at C3 and \(\beta\) at C5 2. Epicholestanol: \(\beta\) at C3 and \(\beta\) at C5 3. Coprostanol: \(\alpha\) at C3 and \(\alpha\) at C5 4. Epicoprostanol: \(\beta\) at C3 and \(\alpha\) at C5
03

Analyzing the equilibriums and determining order of stabilities

Now we can use the given equilibriums to determine the order of stabilities: Equilibrium 1: Cholesterol + Cholestanone + Base → 90% Cholestanol + 10% Epicholestanol This tells us that Cholestanol is more stable than Epicholestanol. Equilibrium 2: Coprostanol + Coprostanone → 10% Coprostanol + 90% Epicoprostanol This tells us that Epicoprostanol is more stable than Coprostanol. Now, we can rank them in order of stability: 1. Cholestanol 2. Epicoprostanol 3. Coprostanol 4. Epicholestanol
04

Explaining the order of stabilities

The order of stabilities can be explained by the difference in orientations of the hydroxyl groups. In Cholestanol and Epicoprostanol, the hydroxyl groups are in a trans configuration, leading to less steric hindrance and a more stable compound. On the other hand, Coprostanol and Epicholestanol have hydroxyl groups in a cis configuration, which creates more steric hindrance and results in less stable compounds.

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