A compound has a molar mass of 176 g/mol and an empirical formula of C₂H₄O. What is the molecular formula of the compound?
Options
A
C₂H₄O
B
C₄H₈O₂
C
C₆H₁₂O₃
D
C₈H₁₆O₄
Answer & Analysis
Answer
D
Analysis
Question Analysis
This question evaluates the student's ability to determine the molecular formula from the empirical formula and the molar mass.
Key Concept Explanation
The molecular formula is a multiple of the empirical formula, and this multiple (n) can be found by dividing the molar mass of the compound by the molar mass of the empirical formula.
Step-by-step Solution
1. Determine the molar mass of the empirical formula C₂H₄O: (2 × 12.01) + (4 × 1.008) + 16.00 = 44.052 g/mol.
2. Calculate n: n = 176 g/mol / 44.052 g/mol ≈ 4.
3. Multiply the subscripts in the empirical formula by n: C₂×₄H₄×₄O×₄ =
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