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일반화학/[14장] 화학반응 속도론

k 1.45 yr^-1 5.0×10^(-7) g/cm^3

by 영원파란 2022. 12. 14.

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k 1.45 yr^-1 5.0×10^(-7) g/cm^3

 

 

k = 1.45 /year, [A]_0 = 5.0×10^(-7) g/cm^3 일 때

1년 후 남아있는 [A]?

 

 

The decomposition of a certain insecticide in water

follows first-order kinetics with a rate constant of 1.45 yr^-1.

A quantity of this insecticide is washed into a lake on June 1,

leading to a concentration of 5.0×10^(-7) g/cm^3.

 

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1차 반응 속도식

ln([A]_t / [A]_0) = –k•t

 

ln(C_t / C_0) = –k•t

( 참고 https://ywpop.tistory.com/26 )

 

 

 

ln(C_t / (5.0×10^(-7))) = –(1.45 /year) (1 year)

 

C_t / (5.0×10^(-7)) = e^(–1.45)

 

C_t = e^(–1.45) × (5.0×10^(-7))

= 1.1729×10^(-7)

 

 

 

답: 1.2×10^(-7) g/cm^3

 

 

 

 

[키워드] 1차 반응 기준문서

 

 

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