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Question 51

$$116$$ 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

  • Hydrogen (H): 7.5 g / 1 g/mol = 7.5 moles
  • Oxygen (O): 60 g / 16 g/mol = 3.75 moles
  • Carbon (C): 48.5 g / 12 g/mol ≈ 4.04 moles

Step 2: Find the Simplest Whole-Number Ratio

Divide each mole value by the smallest value (3.75):

  • C: 4.04 / 3.75 ≈ 1
  • H: 7.5 / 3.75 = 2
  • O: 3.75 / 3.75 = 1

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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