

To determine the number of compounds with chiral carbon atoms, we analyze each given compound for chirality. A carbon is chiral if it has four different substituents. We'll examine each compound for such carbons:
The total number of compounds with chiral carbons is 5.
To identify chiral carbons, examine carbon atoms with four different substituents, which render them asymmetric:
Step 1. CH₃–CH₂–CH(NO₂)–COOH: The second carbon is chiral due to four distinct substituents.
Step 2. CH₃–CH₂–CHBr–CH₂–CH₃: The third carbon is chiral, as it has four different substituents.
Step 3. CH₃–CH(I)–CH₂–NO₂: The second carbon is chiral due to its four different groups.
Step 4. CH₃–CH₂–CH(OH)–CH₂OH: The third carbon is chiral, as it has four distinct substituents.
Step 5. CH₃–CH–CH(I)–C₂H₅: The second carbon is chiral due to four different substituents.
Thus, there are five compounds containing chiral carbons.
The Correct answer is: 5
Which of the following is true for the stereochemical relationship of the given structures (A-D)?

Consider the following molecule (X).
The Structure X is? 
How many different stereoisomers are possible for the given molecule? 
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.