Question
Download Solution PDFThe mass percentage composition of a compound is 76.71% C, 7.02% H and 16.27% N. What is its empirical formula?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Empirical Formula
- An empirical formula represents the simplest whole-number ratio of the elements in a compound.
- The mass percentage composition of each element is used to determine the mole ratio between the elements.
- The mole ratio is calculated by dividing the mass percentage of each element by its molar mass.
- The resulting mole ratios are then normalized by dividing each by the smallest ratio to obtain whole numbers, which form the empirical formula.
EXPLANATION:
- Given mass percentages:
- Carbon (C): 76.71%
- Hydrogen (H): 7.02%
- Nitrogen (N): 16.27%
- Calculate moles for each element:
- Moles of C = 76.71 / 12.01 = 6.39
- Moles of H = 7.02 / 1.008 = 6.96
- Moles of N = 16.27 / 14.01 = 1.16
- Normalize mole ratios by dividing by the smallest value (1.16):
- C: 6.39 / 1.16 = 5.51 ≈ 5 (round to nearest whole number)
- H: 6.96 / 1.16 = 6.00 ≈ 6
- N: 1.16 / 1.16 = 1
- The empirical formula is C5H6N.
- However, this formula is multiplied by 2 to match molecular composition based on the given options.
- Empirical formula × 2 = C11H12N2.
- The correct empirical formula is C11H12N2.
Therefore, the correct answer is Option 1: C11H12N2.
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