Reaction Breakdown:
The given reaction involves the following steps:
Total Hydrogen Atoms in Reactants and Products:
Let's count the number of hydrogen atoms in the reactants (A) and products (B):
Total Number of Hydrogen Atoms: Adding the hydrogen atoms from both reactants and products gives:
Total number of hydrogen atoms in A and B is \( 5 \) (from \( \text{CH}_3\text{CH}_2\text{Br} \)) \( + 6 \) (from \( \text{CH}_3\text{CH}_2\text{OH} \)) = 10 hydrogen atoms.

Total number of hydrogen atoms in Product A and Product B is 10.
Let one focus of the hyperbola \( H : \dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1 \) be at \( (\sqrt{10}, 0) \) and the corresponding directrix be \( x = \dfrac{9}{\sqrt{10}} \). If \( e \) and \( l \) respectively are the eccentricity and the length of the latus rectum of \( H \), then \( 9 \left(e^2 + l \right) \) is equal to:
