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Be sure to answer all parts. 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 ethene (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

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Answer:

Half life = 79.67 sec

Explanation:

Given that:

k = [tex]8.7\times 10^{-3}\ s^{-1}[/tex]

The expression for half life is shown below as:-

[tex]t_{1/2}=\frac{\ln2}{k}[/tex]

Where, k is rate constant

So,  

[tex]t_{1/2}=\frac{\ln2}{8.7\times 10^{-3}\ s^{-1}}[/tex]

[tex]t_{1/2}=114.94252\ln \left(2\right)\ sec=79.67\ sec[/tex]

Half life = 79.67 sec

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