Consider the following sequence of reactions. The percentage of nitrogen in the yellow product (X) formed is ________ %. (Nearest Integer) (Given Molar mass in $\text{g mol}^{-1}$ H:1, C:12, N:14)
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The yellow product X is p-aminoazobenzene. Find its molecular formula and then calculate the mass percentage of nitrogen.
The reaction sequence describes the coupling of benzene diazonium chloride with aniline. In this process, benzene diazonium chloride reacts with aniline to form an intermediate (diazoaminobenzene), which then undergoes acid-catalyzed rearrangement (amino-azo rearrangement) when warmed to $40-45^{\circ}\text{C}$ to form p-aminoazobenzene. p-aminoazobenzene is a well-known yellow dye.
Step 1: Determine the chemical formula of the yellow product (X). The product X is p-aminoazobenzene. Its structure consists of two benzene rings linked by an azo group ($-N=N-$) with an amino group ($-NH_2$) at the para position of one ring. Chemical Formula: $C_{12}H_{11}N_3$
Step 2: Calculate the molar mass of $C_{12}H_{11}N_3$. Molar mass $= (12 \times 12) + (11 \times 1) + (3 \times 14)$ Molar mass $= 144 + 11 + 42 = 197\text{ g mol}^{-1}$
Step 3: Calculate the percentage of nitrogen in the compound. Mass of Nitrogen in the molecule $= 3 \times 14 = 42\text{ g}$ Percentage of N $= \left( \frac{\text{Mass of Nitrogen}}{\text{Total Molar Mass}} \right) \times 100$ Percentage of N $= \left( \frac{42}{197} \right) \times 100 \approx 21.319\%$