
Chemical Reaction Sequence and Heteroatom Calculation
This image shows a sequence of chemical reactions starting with a compound containing nitro groups. The process involves various reagents and results in several intermediate products:
The compound with two nitro groups (\( NO_2 \)) undergoes a reduction using tin (Sn) and hydrochloric acid (HCl), converting the nitro groups into amino groups (\( NH_2 \)). The resulting intermediate is shown as the product \( P \).
The amino group is diazotized with sodium nitrite (\( NaNO_2 \)) and hydrochloric acid at 0-5°C, forming a diazonium chloride (\( N_2Cl \)) group. The resulting compound is labeled as \( P \).
In the third step, hydrolysis of the diazonium group leads to the hydroxyl group (\( OH \)) in the intermediate \( Q \).
Next, chlorination occurs, resulting in the substitution of the hydroxyl group (\( OH \)) with a chloro group (\( Cl \)) to form \( P \).
In the final step, the compound undergoes bromination using \( Br_2 / H_2O \) to introduce three bromine atoms (\( Br \)) to the aromatic ring, resulting in the product labeled as \( R \).
The final compound \( R \) has three hydroxyl groups (\( OH \)), and three bromine atoms (\( Br \)), giving us:
The total number of heteroatoms (atoms that are not carbon) in the structure of \( R \) is 9, as given in the problem statement.
The reaction sequence given below is carried out with 16 moles of X. The yield of the major product in each step is given below the product in parentheses. The amount (in grams) of S produced is ____. 
Use: Atomic mass (in amu): H = 1, C = 12, O = 16, Br = 80
Let $ \mathbb{R} $ denote the set of all real numbers. Then the area of the region $$ \left\{ (x, y) \in \mathbb{R} \times \mathbb{R} : x > 0, y > \frac{1}{x},\ 5x - 4y - 1 > 0,\ 4x + 4y - 17 < 0 \right\} $$ is
As shown in the figures, a uniform rod $ OO' $ of length $ l $ is hinged at the point $ O $ and held in place vertically between two walls using two massless springs of the same spring constant. The springs are connected at the midpoint and at the top-end $ (O') $ of the rod, as shown in Fig. 1, and the rod is made to oscillate by a small angular displacement. The frequency of oscillation of the rod is $ f_1 $. On the other hand, if both the springs are connected at the midpoint of the rod, as shown in Fig. 2, and the rod is made to oscillate by a small angular displacement, then the frequency of oscillation is $ f_2 $. Ignoring gravity and assuming motion only in the plane of the diagram, the value of $\frac{f_1}{f_2}$ is:
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
Organic Chemistry is a subset of chemistry dealing with compounds of carbon. Therefore, we can say that Organic chemistry is the chemistry of carbon compounds and is 200-225 years old. Carbon forms bond with itself to form long chains of hydrocarbons, e.g.CH4, methane and CH3-CH3 ethane. Carbon has the ability to form carbon-carbon bonds quite elaborately. Polymers like polyethylene is a linear chain where hundreds of CH2 are linked together.
Read Also: Organic Compounds
Organic chemistry is applicable in a variety of areas including-