NVAMediumJEE 2023Isomerism (Structural, Stereoisomerism)

JEE Chemistry 2023 Question with Solution

Testosterone, which is a steroidal hormone, has the following structure.

The total number of asymmetric carbon atom/s in testosterone is _____

Answer

Correct answer:6

Step-by-step solution

Standard Method

Given: Testosterone, which is a steroidal hormone, has the following structure.

Find: The total number of asymmetric carbon atom/s in testosterone.

An asymmetric carbon atom (chiral center) is a carbon atom that is bonded to four different groups. Looking at the structure, we can identify the carbon atoms that have four different groups attached. These are chiral centers.

  1. The carbon atom at the junction of the six-membered ring with the ketone group C=OC=O and the five-membered ring.
  2. The carbon atom in the five-membered ring attached to the methyl group CH3CH_3 and the hydroxyl group OHOH.
  3. The carbon atom at the top of the other six-membered ring that forms a bridge.
  4. The carbon atom at the bottom of the other six-membered ring that forms a bridge.
  5. The carbon atom at the top of the six-membered ring with the double bond.
  6. The carbon atom at the bottom of the six-membered ring with the double bond.

Therefore, there are a total of 66 asymmetric carbon atoms in testosterone.

Counting Chiral Centres

Given: We need to count the asymmetric carbon atoms in testosterone.

Find: Number of chiral centres.

Use the definition: a carbon atom is asymmetric if it is attached to four different groups. In the testosterone skeleton, the ring-junction and substituted bridge carbons satisfy this condition, while sp2sp^2 carbons such as those in C=CC=C or C=OC=O do not.

From the identified centres in the structure, the total count is 66.

So, the required numerical answer is 66.

Common mistakes

  • Counting carbon atoms of C=CC=C or C=OC=O as asymmetric centres is incorrect because sp2sp^2 carbons are not bonded to four different groups. Count only tetrahedral carbons with four different attachments.

  • Missing ring-junction carbons is a common error because they are shared by two rings and often become chiral. Check each bridgehead or fused-ring junction carefully.

  • Treating two ring paths as identical when they are actually different leads to undercounting. For a suspected chiral carbon, compare all four attached groups in the full molecular environment, not just the immediate atoms.

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