WAEC 2013 Chemistry · Question 6
A hydrocarbon compound contains 92.3% carbon Determine its empirical formula [H = 1.00; C = 12.0]
Options
- A.CH
- B.CH2-
- C.CH3
- D.C3H2
Answer: A. CH
Explanation written with AI and checked against the answer key
Step 1: Analyze the question A hydrocarbon contains only carbon and hydrogen. If carbon is 92.3%, then hydrogen is 100 − 92.3 = 7.7%.
Step 2: Concept To find the empirical formula:
- Assume 100 g of the compound, so the percentages become masses.
- Divide each mass by its atomic mass to get moles.
- Divide by the smallest number of moles to get the simplest ratio.
Step 3: Solution
| Element | Mass (g) | Moles | Ratio | |---|---|---|---| | C | 92.3 | 92.3 ÷ 12.0 = 7.69 | 7.69 ÷ 7.69 = 1 | | H | 7.7 | 7.7 ÷ 1.00 = 7.7 | 7.7 ÷ 7.69 ≈ 1 |
The ratio of C : H is 1 : 1, so the empirical formula is CH.
Step 4: Answer The correct option is A. CH. For example, benzene C₆H₆ and ethyne C₂H₂ both have this empirical formula.)
Tip: When a hydrocarbon is about 92% carbon, think CH, because the mass ratio of C to H of about 12 : 1 means equal numbers of atoms. If you see about 85.7% carbon, think CH₂, and about 80% carbon, think CH₃. Memorizing these saves time in the exam.
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