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Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

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BuyFindarrow_forward

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

The metabolic disorder diabetes causes a buildup of acetone, CH3COCH3, 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 add to give acetone and CO2, is

CH3COCH2CO2H →CH3COCH3 + CO2

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What mass of acetone can be produced from 125 mg of acetoacetic acid?

Interpretation Introduction

Interpretation:

The mass of acetone, CH3COCH3 produced from 125g of acetoacetic acid has to be determined.

Concept introduction:

  • The relation between the number of moles and mass of the substance is ,

     Numberofmole=MassingramMolarmass

  Massingramofthesubstance=Numberofmole×Molarmass

  • The molar mass of an element or compound is the mass in grams of 1 mole of that substance, and it is expressed in the unit of grams per mol (g/mol).
  • For chemical reaction balanced chemical reaction equation written in accordance with the Law of conservation of mass.
  • Law of conservation of mass states that for a reaction total mass of the reactant and product must be equal.
  • Stoichiometric factor is a relationship between reactant and product which is obtained from the balanced chemical equation for a particular reaction.
Explanation

Balanced chemical equation for the given reaction is,

  CH3COCH2CO2H CH3COCH3+ CO2

From the balanced chemical equation it is clear that acetoacetic acid, CH3COCH2CO2H and acetone, CH3COCH3 react in 1:1ratio.

The amount (moles) of acetoacetic acid, CH3COCH2CO2H   available in the reaction can be calculated as follows,

Amount of CH3COCH2CO2H available = 0.125gofCH3COCH2CO2H102.09g/molCH3COCH2CO2H =0.001molCH3COCH2CO2H

Using the stoichiometric factor the amount of acetone CH3COCH3 can be calculated

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