The combustion analysis of an organic compound with relative molar mass 99 g shows that it contains 4.04% hydrogen, 24.24% carbon and 71.72% chlorine. (Note: Atomic mass of H= 1 amu, C = 12 amu and Cl = 35.5 amu) What are the (i) empirical formula and (ii) molecular formula of the given compound? Show the steps of working clearly.
Question
The combustion analysis of an organic compound with relative molar mass 99 g shows that it contains 4.04% hydrogen, 24.24% carbon and 71.72% chlorine. (Note: Atomic mass of H= 1 amu, C = 12 amu and Cl = 35.5 amu) What are the (i) empirical formula and (ii) molecular formula of the given compound? Show the steps of working clearly.
Solution
To find the empirical and molecular formula, we first need to convert the percentages into moles.
(i) Empirical Formula:
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Convert the percentages to grams (since the percentages are based on 100g, the percentage is the same as the mass in grams for this calculation):
- Hydrogen (H) = 4.04g
- Carbon (C) = 24.24g
- Chlorine (Cl) = 71.72g
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Convert the grams to moles using the atomic masses:
- Moles of H = 4.04g / 1g/mol = 4.04 moles
- Moles of C = 24.24g / 12g/mol = 2.02 moles
- Moles of Cl = 71.72g / 35.5g/mol = 2.02 moles
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Divide each mole quantity by the smallest number of moles calculated (in this case, 2.02) to get the ratio of atoms:
- Ratio of H = 4.04 / 2.02 = 2
- Ratio of C = 2.02 / 2.02 = 1
- Ratio of Cl = 2.02 / 2.02 = 1
So, the empirical formula is CH2Cl.
(ii) Molecular Formula:
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Calculate the molar mass of the empirical formula:
- Molar mass of CH2Cl = (112.01) + (21.01) + (1*35.45) = 49.48 g/mol
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Divide the given molar mass by the empirical formula molar mass and round to the nearest whole number:
- n = 99 g/mol / 49.48 g/mol = 2
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Multiply the subscripts in the empirical formula by this number to get the molecular formula:
- Molecular formula = C(12)H(22)Cl(1*2) = C2H4Cl2
So, the molecular formula of the compound is C2H4Cl2.
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