Acetone is one of the most important solvents in organic chemistry. It is used to dissolve everything from fats and waxes to airplane glue and nail polish. At high temperatures, it decomposes in a first-order process to methane and ketene (CH2═C═O). At 600°C, the rate constant is 8.7 × 10−3 s−1. (a) What is the half-life of the reaction? Give your answer in scientific notation. (b) How long does it take for 38% of a sample of acetone to decompose?  (c) How long does it take for 81% of a sample of acetone to decompose? Give your answer in scientific notation.

Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter11: Rate Of Reaction
Section: Chapter Questions
Problem 39QAP: The decomposition of azomethane, (CH3)2N2, to nitrogen and ethane gases is a first-order reaction,...
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Acetone is one of the most important solvents in organic chemistry. It is used to dissolve everything from fats and waxes to airplane glue and nail polish. At high temperatures, it decomposes in a first-order process to methane and ketene (CH2═C═O). At 600°C, the rate constant is 8.7 × 10−3 s−1.
 
(a) What is the half-life of the reaction? Give your answer in scientific notation.
 
(b) How long does it take for 38% of a sample of acetone to decompose?
  
(c) How long does it take for 81% of a sample of acetone to decompose? Give your answer in scientific notation.

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