Anthraquinone contains only carbon, hydrogen, and oxygen and has an empirical formula of C7H4O. The freezing point of camphor is lowered by 22.3°C when 1.32 g anthraquinone is dissolved in 11.4 g camphor. Determine the molecular formula of anthraquinone.

Respuesta :

Answer:

the molecular formula is C₁₄H₈O₂

Explanation:

Given that

The freezing point of camphor is lowered by 22.3°C

Amount of anthraquinone is 1.32g

depression constant is 40°C.kg.mol

Use the freezing-point depression equation

Molecular weight of solute, m =

[tex]\frac{W \times 1000 \times K}{\Delta T \times W}[/tex]

[tex]= \frac{1.32 \times 1000 \times 40}{22.3 \times 11.4}[/tex]

m = 208g/mol

empirical formula of Anthraquinone is C7H4O

empirical formula weight  = 104 g/mol

m = Molecular formula weight /  empirical formula weight

m = 208 / 104

208.2 / 104.1 = 2

molecular formula = (C₇H₄O)₂

so, the molecular formula is C₁₄H₈O₂