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An organic compound with 68.9 % of C an...

An organic compound with 68.9 % of C and 4.92 % of H, is aromatic and gives `CO_(2)` with `NaHCO_(3)`. The organic compound is

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To solve the problem of identifying the organic compound with the given percentage composition and properties, we can follow these steps: ### Step 1: Determine the percentage of oxygen Given: - Percentage of Carbon (C) = 68.9% - Percentage of Hydrogen (H) = 4.92% To find the percentage of Oxygen (O), we can use the formula: \[ \text{Percentage of O} = 100 - (\text{Percentage of C} + \text{Percentage of H}) \] Calculating: \[ \text{Percentage of O} = 100 - (68.9 + 4.92) = 100 - 73.82 = 26.18\% \] ### Step 2: Calculate the number of moles of each element Using the molar masses: - Molar mass of Carbon (C) = 12 g/mol - Molar mass of Hydrogen (H) = 1 g/mol - Molar mass of Oxygen (O) = 16 g/mol Calculating the number of moles: - Moles of C = \( \frac{68.9}{12} = 5.74 \) - Moles of H = \( \frac{4.92}{1} = 4.92 \) - Moles of O = \( \frac{26.18}{16} = 1.63 \) ### Step 3: Find the simplest whole number ratio To find the simplest ratio, we divide each mole value by the smallest number of moles calculated (which is 1.63): - Ratio of C = \( \frac{5.74}{1.63} \approx 3.5 \) - Ratio of H = \( \frac{4.92}{1.63} \approx 3 \) - Ratio of O = \( \frac{1.63}{1.63} = 1 \) ### Step 4: Convert to whole numbers Since we have a fractional value (3.5), we can multiply all ratios by 2 to convert them to whole numbers: - C: \( 3.5 \times 2 = 7 \) - H: \( 3 \times 2 = 6 \) - O: \( 1 \times 2 = 2 \) Thus, the empirical formula is \( C_7H_6O_2 \). ### Step 5: Identify the compound The compound is aromatic and gives CO2 with NaHCO3, indicating it contains a carboxylic acid group. The structure that fits \( C_7H_6O_2 \) is benzoic acid (C6H5COOH). ### Conclusion The organic compound is **benzoic acid (C7H6O2)**. ---
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