The metabolic disorder diabetes causes a buildup of acetone, CH, COCHs, in the blood. Acetone, a volatile compound, is exhaled, giving the breath of untreated diabetics a distinctive odor. The acetone is produced by a breakdown of fats in a series of reactions. The equation for the last step, the breakdown of acetoacetic acid to give acetone and CO2, is CE, COCH2 CO2 H CH3 COCH3 + CO2 What mass of acetone can be produced from 370. mg of acetoacetic acid?

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Answer:

0.210 g

Explanation:

Let's consider the following balanced equation.

CH₃C(O)CH₂CO₂H → CH₃C(O)CH₃ + CO

We can establish the following relations:

  • The molar mass of acetoacetic acid is 102.09 g/mol
  • The molar ratio of CH₃C(O)CH₂CO₂H to CH₃C(O)CH₃ is 1:1.
  • The molar mass of acetone is 58.08 g/mol.

The mass of acetone produced from 370 mg (0.370 g) of acetoacetic acid (aa) is:

[tex]0.370g(aa).\frac{1mol(aa)}{102.09g(aa)} .\frac{1mol(acetone)}{1mol(aa)} .\frac{58.08g(acetone)}{1mol(acetone)} =0.210g(acetone)[/tex]

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