Question

For some transformation having kinetics that obey the Avrami equation (Equation 10.17), the parameter n is known to have a value of 1.8. If, after 148 s, the reaction is 50% complete, how long (total time) will it take the transformation to go to 85% completion?

Answer 1

t = 259.04 sec

Step-by-step explanation:

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