39. The decomposition of azomethane, (CH3)2 N2, to nitrogen and ethane gases is a first-order re

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39. The decomposition of azomethane, \( \left(\mathrm{CH}_{3}\right)_{2} \mathrm{~N}_{2} \), to nitrogen and ethane gases is a first-order reaction, \[ \left(\mathrm{CH}_{3}\right)_{2} \mathrm{~N}_{2}(\mathrm{~g}) \rightarrow \mathrm{N}_{2}(\mathrm{~g})+\mathrm{C}_{2} \mathrm{H}_{6}(\mathrm{~g}) \] At a certain temperature, a \( 29-\mathrm{mg} \) sample of azomethane is reduced to 12 mg in 1.4 s . (a) What is the rate constant \( k \) for the decomposition at that temperature? (b) What is the half-life of the decomposition? (c) How long will it take to decompose \( 78 \% \) of the azomethane?

          39. The decomposition of azomethane, \( \left(\mathrm{CH}_{3}\right)_{2} \mathrm{~N}_{2} \), to nitrogen and ethane gases is a first-order reaction,
\[
\left(\mathrm{CH}_{3}\right)_{2} \mathrm{~N}_{2}(\mathrm{~g}) \rightarrow \mathrm{N}_{2}(\mathrm{~g})+\mathrm{C}_{2} \mathrm{H}_{6}(\mathrm{~g})
\]

At a certain temperature, a \( 29-\mathrm{mg} \) sample of azomethane is reduced to 12 mg in 1.4 s .
(a) What is the rate constant \( k \) for the decomposition at that temperature?
(b) What is the half-life of the decomposition?
(c) How long will it take to decompose \( 78 \% \) of the azomethane?

39. The decomposition of azomethane, (CH3)2 N2, to nitrogen and ethane gases is a first-order reaction,

(CH3)2 N2( g) →N2( g)+C2H6( g)

At a certain temperature, a 29-mg sample of azomethane is reduced to 12 mg in 1.4 s .
(a) What is the rate constant k for the decomposition at that temperature?
(b) What is the half-life of the decomposition?
(c) How long will it take to decompose 78 % of the azomethane?

Added by Gregg M.

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