An organic compound, in liquid form, comprises of 59.2% C, 13.6% H and 27.2% O, by mass; and has a molar mass of 60 gmol-1 . (RAM: C = 12; H = 1; O = 16) Determine the:
i. Empirical formula of the compound, (4 marks)
ii. Molecular formula of the compound. (2 marks)
iii. Balanced chemical equation, with the correct physical states, when the molecule from C ii. above is reacted with oxygen to give carbon dioxide and water
Solution:
Assume that the sample has a mass of 100 g.
Convert the %values to grams:
Mass of C = w(C) × Mass of sample = 0.592 × 100 g = 59.2 g
Mass of H = w(H) × Mass of sample = 0.136 × 100 g = 13.6 g
Mass of O = w(O) × Mass of sample = 0.272 × 100 g = 27.2 g
Convert to moles:
(59.2 g C) × (1 mol C / 12 g C) = 4.93 mol C
(13.6 g H) × (1 mol H / 1 g H) = 13.60 mol H
(27.2 g O) × (1 mol O / 16 g O) = 1.70 mol O
Divide all moles by the smallest of the results:
C: 4.93 / 1.70 = 2.9 = 3
H: 13.60 / 1.70 = 8
O: 1.70 / 1.70 = 1
The empirical formula of the compound is C3H8O
Empirical formula mass = 3×Ar(C) + 8×Ar(H) + Ar(O) = 3×12 + 8×1 + 16 = 60 (g/mol)
Molar mass of the compound = 60 g/mol
Thus:
molar mass / empirical formula mass = n formula units/molecule
(60 g/mol) / (60 g/mol) = 1 formula units/molecule
Therefore,
The molecular formula of the compound is C3H8O
Balanced chemical equation:
2C3H8O(l) + 9O2(g) → 6CO2(g) + 8H2O(l)
Answers:
i: The empirical formula of the compound is C3H8O
ii: The molecular formula of the compound is C3H8O
iii: 2C3H8O(l) + 9O2(g) → 6CO2(g) + 8H2O(l)
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