Step-by-step Analysis:
2-Methylbutane (C$_5$H$_{12}$) is a branched alkane with the structure:
\[\text{CH}_3 - \text{CH(CH}_3\text{)} - \text{CH}_2 - \text{CH}_3\]
Monochlorination involves replacing one hydrogen atom with a chlorine atom. To determine the number of isomeric compounds, we need to identify all unique positions where chlorine can be attached.
Possible Monochlorination Sites:
Primary carbon at the terminal end (CH$_3$) connected to carbon 1.
Secondary carbon at position 2 (chiral center).
Secondary carbon at position 3.
Primary carbon at the terminal end (CH$_3$) connected to carbon 4.
Number of Isomeric Products:
item1-chloro-2-methylbutane: Chlorination at the terminal CH$_3$ group (carbon 1).
2-chloro-2-methylbutane: Chlorination at the chiral center (carbon 2) results in two stereoisomers (R and S configurations).
3-chloro-2-methylbutane: Chlorination at carbon 3.
4-chloro-2-methylbutane: Chlorination at the terminal CH$_3$ group (carbon 4).
Total Number of Isomers:
\[1 \text{ (from carbon 1)} + 2 \text{ (stereoisomers from carbon 2)} + 1 \text{ (from carbon 3)} + 1 \text{ (from carbon 4)} = 6 \text{ isomers}\]
Conclusion: The total number of isomeric compounds formed by monochlorination of 2-methylbutane, including stereoisomers, is 6.
The molar mass of the water insoluble product formed from the fusion of chromite ore \(FeCr_2\text{O}_4\) with \(Na_2\text{CO}_3\) in presence of \(O_2\) is ....... g mol\(^{-1}\):
Let $ A \in \mathbb{R} $ be a matrix of order 3x3 such that $$ \det(A) = -4 \quad \text{and} \quad A + I = \left[ \begin{array}{ccc} 1 & 1 & 1 \\2 & 0 & 1 \\4 & 1 & 2 \end{array} \right] $$ where $ I $ is the identity matrix of order 3. If $ \det( (A + I) \cdot \text{adj}(A + I)) $ is $ 2^m $, then $ m $ is equal to: