Answer:
C₈H₁₀N₄O₂
Step-by-step explanation:
Step 1: Given data
- Empirical formula of the compound: C₄H₅N₂O
- Molar mass of the molecular formula: 194 g/mol
Step 2: Determine the molar mass of the empirical formula
The molar mass is equal to the sum of the masses of the elements that form it.
M = 4 × C + 5 × H + 2 × N + 1 × O
M = 4 × 12.01 g/mol + 5 × 1.01 g/mol + 2 × 14.0 g/mol + 1 × 16.0 g/mol
M = 97.09 g/mol ≈ 97 g/mol
Step 3: Calculate "n"
n = molar mass of the molecular formula / molar mass of the empirical formula
n = (194 g/mol)/(97 g/mol) = 2
Step 4: Determine the molecular formula
To determine the molecular formula, we have to multiply the empirical formula by "n".
C₄H₅N₂O × 2 = C₈H₁₀N₄O₂