The mass percentage composition of a compound is 76.71% C, 7.02% H and 16.27% N. What is its empirical formula? 

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DSSSB PGT Chemistry (Female) Official Paper (Held On: 06 Jul, 2018 Shift 1)
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  1. C11H12N2
  2. C10H14NO
  3. C11H12N2O
  4. C10H12N2

Answer (Detailed Solution Below)

Option 1 : C11H12N2
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Detailed Solution

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CONCEPT:

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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