Molecular formula of xanthophyll is C₄₀ H₅₆O₂ .
In the question given that
Compund xanthophyll is yellow in color and found in bird feathers and flowers.
It contains carbon , hydrogen and oxygen in ratio 20:28:1 .
Molecular formula : Μultiply each index of the molecular formula by n to get the molecular formula, as denoted by the general empirical formula AxBy: (AxBy)n= AₙₓBₙᵧ
from the given ration of composition of elements in compund we can drive empirical formula of xanthophyll.
empirical formula is C₂₀H₂₈O
Now , time to drive molecular formula for xanthophyll.
Molar mass of xanthophyll = 659g/mol
empirical formula mass = 12×20+1× 28+2× 16 = 300 g/mol
n formula per unit = molar mass of compound / empirical formula mass
=> n = 659/ 300 = 2.1 ~ 2
So , Molecular formula of xanthophyll is (C₂₀H₂₈O)2 = C₄₀H₅₆O₂
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