Respuesta :
Answer:
rate=0.093 s⁻¹
Explanation:
Given Data
n=2.0
k=0.006
assume y=0.5 because it is not given in question
rate=?
Solution
As we know that
[tex]e^{-kt^{n} } =1-y\\t^{n}=-\frac{ln(1-y)}{k}\\ t=-(\frac{ln(1-y)}{k} )^{\frac{1}{n} }\\ t=-(\frac{ln(1-0.5)}{0.006} )^{\frac{1}{2} }\\t=10.74 seconds\\rate=\frac{1}{t}\\ rate=\frac{1}{10.74} \\rate=0.093s^{-1}[/tex]
The rate of some reaction that obeys Avrami Kinetics is : 0.093 s⁻¹
Given data:
n = 2.0
k = 0.006
let's assume y = 0.5
Determine the rate of some reaction that obeys Avrami kinetics
applying the equation below
[tex]e^{-kt^{n} } = 1 - y[/tex] ------ ( 1 )
solve for t
t = [tex]- (\frac{In(1-y)}{k} )^{\frac{1}{n} }[/tex] ------- ( 2 )
where : n = 2, y = 0.5, k = 0.006,
Insert values into equation ( 2 )
t = 10.74 secs
Rate = 1 / t
= 1 / 10.74
= 0.093 s⁻¹
Hence we can conclude that The rate of reaction that obeys Avrami Kinetics is : 0.093 s⁻¹.
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