Answer:
the molecular formula of the soap is C₅₄H₁₀₂O₆
Step-by-step explanation:
Given;
composition of carbon, C = 76.5%
composition of oxygen, O = 11.3%
Composition of hydrogen, H = 12.2%
The empirical formula is calculated as follows;
C: 76.5% / 12 O: 11.3% / 16 H: 12.2% / 1
= 6.375 = 0.706 = 12.2
Divide through by the least number (0.706);
= 6.375/0.706 = 0.706 / 0.706 = 12.2 / 0.706
= 9 = 1 = 17
The empirical formula = C₉H₁₇O
The molecular formula is calculated as follows;
(C₉H₁₇O)n = 847
(9 x 12 + 17 x 1 + 16 x 1)n = 847
(108 + 17 + 16)n = 847
141n = 847
n = 847/141
n = 6
The molecular is (C₉H₁₇O)6 = C₅₄H₁₀₂O₆
Therefore, the molecular formula of the soap is C₅₄H₁₀₂O₆