The Maximum number of RBr producing 2-methylbutane by above sequence of reaction
Step 1: Possible alkyl groups with 4 carbon atoms.
We can form different structural isomers of butyl groups (C4H9–) as the alkyl part \( R \). There are four distinct isomeric forms:
Each of these has a unique arrangement of carbon atoms and bromine, leading to different structures and physical properties.
\[ \boxed{\text{Total number of possible structures of } RBr = 4} \]
\[ \boxed{4 \text{ isomeric structures of } RBr \text{ (C}_4H_9Br)} \]
For alkyl halides \( R–X \), the number of possible structures corresponds to the number of structural isomers of the alkyl group \( R \). For butyl bromide, these are: n-butyl, sec-butyl, iso-butyl, and tert-butyl bromide.
The CORRECT statement(s) for the given reactions is(are):
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 ___________.