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For some transformation having kinetics that obey the Avrami equation, the parameter n is known to have a value of 1.5. If the reaction is 25% complete after 125 sec, how long (total time) will it take the transformation to go to 80% completion?

Sagot :

Time taken the transformation to go to 80% completion t = 259.04 sec

From Avrami equation we have

Y= 1 - e^{-Kt^n}  

here

Y = 50%

T Time of reaction completion = 148 sec

n = 1.8

putting all value to get constant K

0.5=1- e^{-K*148^1.8}

e^{-K*148^1.8} = 0.5

Taking log on both side

-K*148^{1.8} = -0.693

K=8.59 * 10^{-5}

NOW GIVEN

0.85= 1 - e^{- 8.59 * 10^{-5} *t^1.8}

e^{- 8.59 * 10^{-5} *t^1.8} = 0.15

Taking log on both side

- 8.59 * 10^{-5} *t^1.8 = -1.897

t = 259.04 sec

The speed at which a chemical reaction occurs is called the reaction rate, and it is defined as proportional to the increase in the concentration of a product per unit time and to the. decrease in the concentration. of a reactant per. unit time. Reaction rates. can vary significantly. For instance, cellulose burns in a fire in a matter of fractions of a second, unlike the sluggish, years-long oxidative corrosion of iron under the Earth's atmosphere. The rate typically decreases with time for most reactions. Monitoring the concentration alterations over time allows one to calculate the pace of a reaction.

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