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$$116$$ g of a substance upon dissociation reaction, yields $$7.5$$ g of hydrogen, $$60$$ g of oxygen and $$48.5$$ g of carbon. Given that the atomic masses of H, O and C are 1, 16 and 12, respectively. The data agrees with how many formulae of the following?
A. $$CH_3COOH$$
B. HCHO
C. $$CH_3OOCH_3$$
D. $$CH_3CHO$$
Correct Answer: 2
Step 1: Calculate Moles of Each Element
Step 2: Find the Simplest Whole-Number Ratio
Divide each mole value by the smallest value (3.75):
The Empirical Formula is $$CH_2O$$.
Step 3: Evaluate Given Options
Any correct molecular formula must be a multiple of the empirical formula $$(CH_{2}O)_n$$.
| Option Formula | Molecular Formula | Empirical Ratio Match? | Status |
|---|---|---|---|
| A. $$CH_{3}COOH$$ | $$C_{2}H_{4}O_2$$ | Yes (n = 2) | Valid |
| B. $$HCHO$$ | $$CH_2O$$ | Yes (n = 1) | Valid |
| C. $$CH_{3}OOCH_3$$ | $$C_{2}H{6}O_{2}$$ | No ($$CH_3{}O$$) | Invalid |
| D. $$CH_{3}CHO$$ | $$C_{2}H_{4}O$$ | No ($$C_{2}H_{4}O$$) | Invalid |
Conclusion
The given data matches exactly 2 formulae (A and B).
Correct Answer: 2
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