The main constituent of gallstones is cholesterol. Cholesterol may have a role in heart attacks and blood clot formation. Its elemental percentage composition is 83.87% C, 11.99% H, and 4.14% O. It has a molecular weight of 386.64 amu. Empirical formula is C₃H₄O₁ and Molecular formula is 7(C₃H₄O₁).
Empirical formula is the simplest whole number ratio of atoms present in given compound.
Element % Atomic mass Relative no. of atoms Simplest whole ratio
C 83.87 12 [tex]\frac{83.87}{12}[/tex] = 6.98 [tex]\frac{6.98}{0.25}[/tex] = 3
H 11.99 1 [tex]\frac{11.99}{1}[/tex] = 11.09 [tex]\frac{11.09}{0.25}[/tex] = 4
O 4.14 16 [tex]\frac{4.14}{16}[/tex] = 0.25 [tex]\frac{0.25}{0.25}[/tex] = 1
Thus the empirical formula is C₃H₄O₁.
Molecular formula = Empirical formula × n
n = [tex]\frac{\text{Molecular weight}}{\text{Empirical formula weight}}[/tex]
= [tex]\frac{386.64}{56}[/tex]
= 7
Molecular formula = Empirical formula × n
= 7 (C₃H₄O₁)
Thus from the above conclusion we can say that The main constituent of gallstones is cholesterol. Cholesterol may have a role in heart attacks and blood clot formation. Its elemental percentage composition is 83.87% C, 11.99% H, and 4.14% O. It has a molecular weight of 386.64 amu. Empirical formula is C₃H₄O₁ and Molecular formula is 7(C₃H₄O₁).
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