You are given 150 mL of an oil made up of a mixture of 3 fatty acids: palmitoleic acid (C 16:1 (n-7)) erucic acid (C 22:1 (n-9)) stearidonic acid (C 18:4 (n-3))   You know that the 150 mL sample of this oil was prepared by adding 60 mL of palmitoleic acid to 90 mL of a mixture of erucic acid and stearidonic acid.   Using a hydrometer you carefully measure the density of the 150 mL sample of oil and your analysis indicates that it has a density of 0.900 g/cm3.   The densities of the individual fatty acids are: palmitoleic acid = 0.894 g/cm3 erucic acid = 0.860 g/cm3 stearidonic acid = 0.9334 g/cm3   Can you determine the volumes (in mL) of erucic acid and stearidonic acid in the total volume (150 mL) of the oil mixture?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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You are given 150 mL of an oil made up of a mixture of 3 fatty acids:

  • palmitoleic acid (C 16:1 (n-7))
  • erucic acid (C 22:1 (n-9))
  • stearidonic acid (C 18:4 (n-3))

 

You know that the 150 mL sample of this oil was prepared by adding 60 mL of palmitoleic acid to 90 mL of a mixture of erucic acid and stearidonic acid.

 

Using a hydrometer you carefully measure the density of the 150 mL sample of oil and your analysis indicates that it has a density of 0.900 g/cm3.

 

The densities of the individual fatty acids are:

  • palmitoleic acid = 0.894 g/cm3
  • erucic acid = 0.860 g/cm3
  • stearidonic acid = 0.9334 g/cm3

 

Can you determine the volumes (in mL) of erucic acid and stearidonic acid in the total volume (150 mL) of the oil mixture?

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