Correct answer is 2
To solve this problem, we need to analyze the given reaction sequence step by step and determine how many isomeric tetraenes (not containing sp-hybridized carbon atoms) can be formed.
1. First Step: Reaction with Sodium in Liquid Ammonia (Na, liquid NH3)
This step represents the Birch reduction, where the benzene ring undergoes partial hydrogenation. This reaction adds hydrogen atoms to the carbon-carbon double bonds in the benzene ring, converting it into a cyclohexadiene intermediate. The product is a 1,4-cyclohexadiene, where two hydrogen atoms are added to the ring in a specific manner.
2. Second Step: Addition of Bromine (Br2, excess)
In the presence of excess bromine (Br2), the cyclohexadiene intermediate undergoes electrophilic addition to the double bonds. Since there are two double bonds, the excess bromine adds across both of them, leading to the formation of a dibromo intermediate. The product of this step is a dibromocyclohexane.
3. Third Step: Reaction with Alcoholic Potassium Hydroxide (alc. KOH)
Alcoholic KOH induces elimination reactions. In this case, the reaction leads to the elimination of HBr from the dibromocyclohexane, resulting in the formation of a conjugated diene. This step can form two isomers due to the positions of the double bonds in the final product, leading to the formation of two isomeric tetraenes (the conjugated dienes).
Conclusion:
From the reaction sequence, two isomeric tetraenes are formed, and neither of them contains sp-hybridized carbon atoms (as no triple bonds are involved).
Final Answer:
The number of isomeric tetraenes that can be formed from the given reaction sequence is 2.
Complete the following reactions by writing the structure of the main products:
Let $ S $ denote the locus of the point of intersection of the pair of lines $$ 4x - 3y = 12\alpha,\quad 4\alpha x + 3\alpha y = 12, $$ where $ \alpha $ varies over the set of non-zero real numbers. Let $ T $ be the tangent to $ S $ passing through the points $ (p, 0) $ and $ (0, q) $, $ q > 0 $, and parallel to the line $ 4x - \frac{3}{\sqrt{2}} y = 0 $.
Then the value of $ pq $ is
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