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Here's how to calculate the empirical formula:
1. Assume a 100g sample: This makes the percentages equal to grams. So we have 65.45g C, 9.09g H, and 25.45g N.
2. Convert grams to moles: Divide each mass by the element's molar mass:
C: 65.45g / 12 g/mol = 5.45 mol C
H: 9.09g / 1 g/mol = 9.09 mol H
N: 25.45g / 14 g/mol = 1.82 mol N
3. Find the simplest whole-number ratio: Divide each mole value by the smallest one (1.82 mol):
C: 5.45 mol / 1.82 mol = 3
H: 9.09 mol / 1.82 mol = 5
N: 1.82 mol / 1.82 mol = 1
4. Write the empirical formula: The ratio of C:H:N is 3:5:1, so the empirical formula is C₃H₅N.